[{"language":[{"iso":"eng"}],"article_number":"e11823","main_file_link":[{"open_access":"1","url":"https://advanced.onlinelibrary.wiley.com/doi/10.1002/adma.202511823"}],"doi":"10.1002/adma.202511823","publication_identifier":{"issn":["0935-9648","1521-4095"]},"author":[{"full_name":"Jin, Xiao","last_name":"Jin","first_name":"Xiao"},{"id":"30525","last_name":"Zentgraf","orcid":"0000-0002-8662-1101","first_name":"Thomas","full_name":"Zentgraf, Thomas"}],"year":"2026","title":"Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation","article_type":"original","intvolume":"        38","publication_status":"published","date_updated":"2026-03-10T08:32:37Z","date_created":"2025-10-06T05:42:21Z","department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"type":"journal_article","publication":"Advanced Materials","abstract":[{"text":"Abstract</jats:title><jats:p>Metasurface holography offers a powerful approach for manipulating wavefronts at the nano and micro scale. Extensive research has been conducted to enhance the multiplexing capacity for diverse wavefronts. However, the independence of multiplexed channels is fundamentally restricted in techniques using single‐layer metasurfaces, resulting in unavoidable crosstalk and the need for post‐filtering of the output wavefronts. Here, a universal wavefront multiplexing concept is presented based on non‐injective transformation. By employing joint optimization on two metasurfaces, different channels can be independently designed without any constraints on the output wavefronts. To validate this approach, ultra‐compact orbital angular momentum (OAM) sorters are designed. In these experiments, the output beams from different channels can be independently mapped to 2D positions with high fineness. In another application of wavefront‐multiplexed holography, 10‐channel multiplexing is experimentally achieved with minimal crosstalk and without the need for post‐processing. These results demonstrate the independence between channels enabled by the non‐injective transformation in the method. The precise wavefront control and high multiplexing capacity underscore its potential for scalable wavefront manipulation devices.","lang":"eng"}],"_id":"61523","publisher":"Wiley","volume":38,"user_id":"30525","status":"public","oa":"1","citation":{"apa":"Jin, X., &#38; Zentgraf, T. (2026). Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation. <i>Advanced Materials</i>, <i>38</i>, Article e11823. <a href=\"https://doi.org/10.1002/adma.202511823\">https://doi.org/10.1002/adma.202511823</a>","ieee":"X. Jin and T. Zentgraf, “Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation,” <i>Advanced Materials</i>, vol. 38, Art. no. e11823, 2026, doi: <a href=\"https://doi.org/10.1002/adma.202511823\">10.1002/adma.202511823</a>.","short":"X. Jin, T. Zentgraf, Advanced Materials 38 (2026).","chicago":"Jin, Xiao, and Thomas Zentgraf. “Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation.” <i>Advanced Materials</i> 38 (2026). <a href=\"https://doi.org/10.1002/adma.202511823\">https://doi.org/10.1002/adma.202511823</a>.","mla":"Jin, Xiao, and Thomas Zentgraf. “Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation.” <i>Advanced Materials</i>, vol. 38, e11823, Wiley, 2026, doi:<a href=\"https://doi.org/10.1002/adma.202511823\">10.1002/adma.202511823</a>.","ama":"Jin X, Zentgraf T. Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation. <i>Advanced Materials</i>. 2026;38. doi:<a href=\"https://doi.org/10.1002/adma.202511823\">10.1002/adma.202511823</a>","bibtex":"@article{Jin_Zentgraf_2026, title={Independent Wavefront Multiplexing with Metasurfaces via Non‐Injective Transformation}, volume={38}, DOI={<a href=\"https://doi.org/10.1002/adma.202511823\">10.1002/adma.202511823</a>}, number={e11823}, journal={Advanced Materials}, publisher={Wiley}, author={Jin, Xiao and Zentgraf, Thomas}, year={2026} }"},"project":[{"name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"_id":"54","name":"TRR 142 - Project Area A"},{"_id":"55","name":"TRR 142 - Project Area B"},{"name":"TRR 142; TP A08: Nichtlineare Kopplung von Zwischenschicht-Exzitonen in van der Waals-Heterostrukturen an plasmonische und dielektrische Nanokavitäten","_id":"65"},{"_id":"170","name":"TRR 142; TP B09: Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen"}],"quality_controlled":"1"},{"date_updated":"2026-03-10T15:41:18Z","author":[{"first_name":"Behnood","last_name":"Taheri","full_name":"Taheri, Behnood"},{"full_name":"Kopylov, Denis","last_name":"Kopylov","first_name":"Denis","id":"98502"},{"id":"48077","orcid":"0000-0002-6331-9348","first_name":"Manfred","last_name":"Hammer","full_name":"Hammer, Manfred"},{"full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten","id":"344"},{"last_name":"Förstner","first_name":"Jens","orcid":"0000-0001-7059-9862","full_name":"Förstner, Jens","id":"158"},{"id":"60286","full_name":"Sharapova, Polina R.","first_name":"Polina R.","last_name":"Sharapova"}],"status":"public","title":"Gain-induced spectral non-degeneracy in type-II parametric down-conversion","year":"2026","doi":"10.48550/ARXIV.2603.01656","user_id":"16199","language":[{"iso":"eng"}],"_id":"64877","project":[{"name":"TRR 142 - Polaronen-Einfluss auf die optischen Eigenschaften von Lithiumniobat (B07*)","_id":"168"},{"name":"TRR 142 - Project Area C","_id":"56"},{"name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse","_id":"174"}],"citation":{"ieee":"B. Taheri, D. Kopylov, M. Hammer, T. Meier, J. Förstner, and P. R. Sharapova, “Gain-induced spectral non-degeneracy in type-II parametric down-conversion,” <i>arXiv</i>, 2026, doi: <a href=\"https://doi.org/10.48550/ARXIV.2603.01656\">10.48550/ARXIV.2603.01656</a>.","apa":"Taheri, B., Kopylov, D., Hammer, M., Meier, T., Förstner, J., &#38; Sharapova, P. R. (2026). Gain-induced spectral non-degeneracy in type-II parametric down-conversion. <i>ArXiv</i>. <a href=\"https://doi.org/10.48550/ARXIV.2603.01656\">https://doi.org/10.48550/ARXIV.2603.01656</a>","chicago":"Taheri, Behnood, Denis Kopylov, Manfred Hammer, Torsten Meier, Jens Förstner, and Polina R. Sharapova. “Gain-Induced Spectral Non-Degeneracy in Type-II Parametric down-Conversion.” <i>ArXiv</i>, 2026. <a href=\"https://doi.org/10.48550/ARXIV.2603.01656\">https://doi.org/10.48550/ARXIV.2603.01656</a>.","short":"B. Taheri, D. Kopylov, M. Hammer, T. Meier, J. Förstner, P.R. Sharapova, ArXiv (2026).","mla":"Taheri, Behnood, et al. “Gain-Induced Spectral Non-Degeneracy in Type-II Parametric down-Conversion.” <i>ArXiv</i>, 2026, doi:<a href=\"https://doi.org/10.48550/ARXIV.2603.01656\">10.48550/ARXIV.2603.01656</a>.","bibtex":"@article{Taheri_Kopylov_Hammer_Meier_Förstner_Sharapova_2026, title={Gain-induced spectral non-degeneracy in type-II parametric down-conversion}, DOI={<a href=\"https://doi.org/10.48550/ARXIV.2603.01656\">10.48550/ARXIV.2603.01656</a>}, journal={arXiv}, author={Taheri, Behnood and Kopylov, Denis and Hammer, Manfred and Meier, Torsten and Förstner, Jens and Sharapova, Polina R.}, year={2026} }","ama":"Taheri B, Kopylov D, Hammer M, Meier T, Förstner J, Sharapova PR. Gain-induced spectral non-degeneracy in type-II parametric down-conversion. <i>arXiv</i>. Published online 2026. doi:<a href=\"https://doi.org/10.48550/ARXIV.2603.01656\">10.48550/ARXIV.2603.01656</a>"},"publication":"arXiv","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"34"},{"_id":"61"},{"_id":"230"},{"_id":"623"},{"_id":"429"}],"type":"journal_article","date_created":"2026-03-10T15:37:22Z"},{"project":[{"_id":"54","name":"TRR 142 - Project Area A"},{"_id":"65","name":"TRR 142; TP A08: Nichtlineare Kopplung von Zwischenschicht-Exzitonen in van der Waals-Heterostrukturen an plasmonische und dielektrische Nanokavitäten"},{"name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"}],"quality_controlled":"1","citation":{"bibtex":"@article{Aschwanden_Claro-Rodríguez_Zhao_Kallert_Krieger_Buchinger_Covre da Silva_Stroj_Rota_Höfling_et al._2026, title={Cascaded Metasurface Interferometer for Multipath Interference with Classical and Quantum Light}, DOI={<a href=\"https://doi.org/10.1021/acsphotonics.6c00096\">10.1021/acsphotonics.6c00096</a>}, number={acsphotonics.6c00096}, journal={ACS Photonics}, publisher={American Chemical Society (ACS)}, author={Aschwanden, Rebecca and Claro-Rodríguez, Nicolás and Zhao, Ruizhe and Kallert, Patricia Anna Maria and Krieger, Tobias and Buchinger, Quirin and Covre da Silva, Saimon F. and Stroj, Sandra and Rota, Michele and Höfling, Sven and et al.}, year={2026} }","ama":"Aschwanden R, Claro-Rodríguez N, Zhao R, et al. Cascaded Metasurface Interferometer for Multipath Interference with Classical and Quantum Light. <i>ACS Photonics</i>. Published online 2026. doi:<a href=\"https://doi.org/10.1021/acsphotonics.6c00096\">10.1021/acsphotonics.6c00096</a>","mla":"Aschwanden, Rebecca, et al. “Cascaded Metasurface Interferometer for Multipath Interference with Classical and Quantum Light.” <i>ACS Photonics</i>, acsphotonics.6c00096, American Chemical Society (ACS), 2026, doi:<a href=\"https://doi.org/10.1021/acsphotonics.6c00096\">10.1021/acsphotonics.6c00096</a>.","chicago":"Aschwanden, Rebecca, Nicolás Claro-Rodríguez, Ruizhe Zhao, Patricia Anna Maria Kallert, Tobias Krieger, Quirin Buchinger, Saimon F. Covre da Silva, et al. “Cascaded Metasurface Interferometer for Multipath Interference with Classical and Quantum Light.” <i>ACS Photonics</i>, 2026. <a href=\"https://doi.org/10.1021/acsphotonics.6c00096\">https://doi.org/10.1021/acsphotonics.6c00096</a>.","short":"R. Aschwanden, N. Claro-Rodríguez, R. Zhao, P.A.M. Kallert, T. Krieger, Q. Buchinger, S.F. Covre da Silva, S. Stroj, M. Rota, S. Höfling, T. Huber-Loyola, A. Rastelli, R. Trotta, L. Huang, T. Bartley, K. Jöns, T. Zentgraf, ACS Photonics (2026).","ieee":"R. Aschwanden <i>et al.</i>, “Cascaded Metasurface Interferometer for Multipath Interference with Classical and Quantum Light,” <i>ACS Photonics</i>, Art. no. acsphotonics.6c00096, 2026, doi: <a href=\"https://doi.org/10.1021/acsphotonics.6c00096\">10.1021/acsphotonics.6c00096</a>.","apa":"Aschwanden, R., Claro-Rodríguez, N., Zhao, R., Kallert, P. A. M., Krieger, T., Buchinger, Q., Covre da Silva, S. F., Stroj, S., Rota, M., Höfling, S., Huber-Loyola, T., Rastelli, A., Trotta, R., Huang, L., Bartley, T., Jöns, K., &#38; Zentgraf, T. (2026). Cascaded Metasurface Interferometer for Multipath Interference with Classical and Quantum Light. <i>ACS Photonics</i>, Article acsphotonics.6c00096. <a href=\"https://doi.org/10.1021/acsphotonics.6c00096\">https://doi.org/10.1021/acsphotonics.6c00096</a>"},"external_id":{"arxiv":["2603.25090"]},"status":"public","user_id":"30525","_id":"65460","publisher":"American Chemical Society (ACS)","abstract":[{"text":"Beamsplitters represent fundamental components in both classical and quantum optical systems, enabling the distribution of light, as well as the generation of interference, superposition, and entanglement. However, optical networks constructed from conventional bulk 2 × 2-beamsplitters encounter inherent scalability issues, as the number of required beamsplitters scales quadratically with the number of optical modes for a fully connected network. Metasurfaces offer a promising route to\r\novercome these constraints. By manipulating light at the wavelength scale, compact optical components with advanced functionalities can be constructed, which address several modes simultaneously. In this work, we design and experimentally utilize a metasurface as a multiport beamsplitter. Furthermore, we realized a multimode interferometer composed of two cascaded metasurfaces. We characterize the individual and cascaded metasurfaces by using classical light, showing controllable splitting ratios through tunable phase relations. We then expand the approach to quantum light, employing single photons to demonstrate second- and third-order photon correlations as well as single photon interference across multiple spatial paths. These results establish metasurface-based multiport beamsplitters as a scalable and reconfigurable platform bridging classical and quantum photonics. ","lang":"eng"}],"publication":"ACS Photonics","department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"type":"journal_article","keyword":["metasurface","beamsplitter","interferometer","quantum network","single photons","nanophotonics"],"date_created":"2026-04-20T04:52:59Z","article_type":"original","date_updated":"2026-04-20T05:01:00Z","publication_status":"published","author":[{"full_name":"Aschwanden, Rebecca","last_name":"Aschwanden","first_name":"Rebecca"},{"last_name":"Claro-Rodríguez","first_name":"Nicolás","full_name":"Claro-Rodríguez, Nicolás"},{"full_name":"Zhao, Ruizhe","first_name":"Ruizhe","last_name":"Zhao"},{"full_name":"Kallert, Patricia Anna Maria","last_name":"Kallert","first_name":"Patricia Anna Maria","orcid":"0009-0007-5230-0223","id":"72332"},{"full_name":"Krieger, Tobias","first_name":"Tobias","last_name":"Krieger"},{"first_name":"Quirin","last_name":"Buchinger","full_name":"Buchinger, Quirin"},{"full_name":"Covre da Silva, Saimon F.","first_name":"Saimon F.","last_name":"Covre da Silva"},{"full_name":"Stroj, Sandra","last_name":"Stroj","first_name":"Sandra"},{"full_name":"Rota, Michele","last_name":"Rota","first_name":"Michele"},{"last_name":"Höfling","first_name":"Sven","full_name":"Höfling, Sven"},{"full_name":"Huber-Loyola, Tobias","last_name":"Huber-Loyola","first_name":"Tobias"},{"full_name":"Rastelli, Armando","last_name":"Rastelli","first_name":"Armando"},{"first_name":"Rinaldo","last_name":"Trotta","full_name":"Trotta, Rinaldo"},{"last_name":"Huang","first_name":"Lingling","full_name":"Huang, Lingling"},{"full_name":"Bartley, Tim","last_name":"Bartley","first_name":"Tim","id":"49683"},{"full_name":"Jöns, Klaus","first_name":"Klaus","last_name":"Jöns","id":"85353"},{"id":"30525","full_name":"Zentgraf, Thomas","orcid":"0000-0002-8662-1101","last_name":"Zentgraf","first_name":"Thomas"}],"publication_identifier":{"issn":["2330-4022","2330-4022"]},"title":"Cascaded Metasurface Interferometer for Multipath Interference with Classical and Quantum Light","year":"2026","doi":"10.1021/acsphotonics.6c00096","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://pubs.acs.org/doi/10.1021/acsphotonics.6c00096"}],"article_number":"acsphotonics.6c00096"},{"abstract":[{"text":"<jats:p>For the ever-growing field of quantum information processing, large-scale, efficient multiport interferometers serving as photonic processors are required. In this context, the suitability of quantum walks as the interferometric base for universal computation has been theoretically proven. In this work, we bridge the gap between theoretical proposals and state-of-the-art experimental capabilities by providing the recipe for the implementation of a universal photonic processor in discrete-time quantum walks. Specifically, we present the protocol for translating arbitrary linear transformations into the coin and step operator of a quantum walk and map these to the experimental parameters of the established time-multiplexed platform [A. Schreiber , Phys. Rev. Lett. , 050502 (2010)]. We show that our interface is highly scalable and resource efficient due to the hybrid encoding consisting of multiple degrees of freedom. Finally, we prove that our system is highly resilient against experimental imperfections and show that it compares favorably against existing architectures.</jats:p>","lang":"eng"}],"publication":"Physical Review Applied","issue":"5","department":[{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"706"},{"_id":"429"}],"type":"journal_article","date_created":"2026-05-07T07:00:08Z","intvolume":"        25","publication_status":"published","date_updated":"2026-05-07T07:01:09Z","author":[{"full_name":"Lammers, Jonas","first_name":"Jonas","last_name":"Lammers"},{"first_name":"Laura","last_name":"Ares","full_name":"Ares, Laura"},{"last_name":"Pegoraro","first_name":"Federico","full_name":"Pegoraro, Federico","id":"88928"},{"id":"68236","last_name":"Held","first_name":"Philip","full_name":"Held, Philip"},{"id":"27150","full_name":"Brecht, Benjamin","first_name":"Benjamin","orcid":"0000-0003-4140-0556 ","last_name":"Brecht"},{"last_name":"Sperling","first_name":"Jan","orcid":"0000-0002-5844-3205","full_name":"Sperling, Jan","id":"75127"},{"first_name":"Christine","last_name":"Silberhorn","full_name":"Silberhorn, Christine","id":"26263"}],"publication_identifier":{"issn":["2331-7019"]},"title":"Resource-efficient universal photonic processors based on time-multiplexed hybrid architectures","year":"2026","doi":"10.1103/x99y-2sms","language":[{"iso":"eng"}],"article_number":"054011","citation":{"bibtex":"@article{Lammers_Ares_Pegoraro_Held_Brecht_Sperling_Silberhorn_2026, title={Resource-efficient universal photonic processors based on time-multiplexed hybrid architectures}, volume={25}, DOI={<a href=\"https://doi.org/10.1103/x99y-2sms\">10.1103/x99y-2sms</a>}, number={5054011}, journal={Physical Review Applied}, publisher={American Physical Society (APS)}, author={Lammers, Jonas and Ares, Laura and Pegoraro, Federico and Held, Philip and Brecht, Benjamin and Sperling, Jan and Silberhorn, Christine}, year={2026} }","ama":"Lammers J, Ares L, Pegoraro F, et al. Resource-efficient universal photonic processors based on time-multiplexed hybrid architectures. <i>Physical Review Applied</i>. 2026;25(5). doi:<a href=\"https://doi.org/10.1103/x99y-2sms\">10.1103/x99y-2sms</a>","mla":"Lammers, Jonas, et al. “Resource-Efficient Universal Photonic Processors Based on Time-Multiplexed Hybrid Architectures.” <i>Physical Review Applied</i>, vol. 25, no. 5, 054011, American Physical Society (APS), 2026, doi:<a href=\"https://doi.org/10.1103/x99y-2sms\">10.1103/x99y-2sms</a>.","short":"J. Lammers, L. Ares, F. Pegoraro, P. Held, B. Brecht, J. Sperling, C. Silberhorn, Physical Review Applied 25 (2026).","chicago":"Lammers, Jonas, Laura Ares, Federico Pegoraro, Philip Held, Benjamin Brecht, Jan Sperling, and Christine Silberhorn. “Resource-Efficient Universal Photonic Processors Based on Time-Multiplexed Hybrid Architectures.” <i>Physical Review Applied</i> 25, no. 5 (2026). <a href=\"https://doi.org/10.1103/x99y-2sms\">https://doi.org/10.1103/x99y-2sms</a>.","ieee":"J. Lammers <i>et al.</i>, “Resource-efficient universal photonic processors based on time-multiplexed hybrid architectures,” <i>Physical Review Applied</i>, vol. 25, no. 5, Art. no. 054011, 2026, doi: <a href=\"https://doi.org/10.1103/x99y-2sms\">10.1103/x99y-2sms</a>.","apa":"Lammers, J., Ares, L., Pegoraro, F., Held, P., Brecht, B., Sperling, J., &#38; Silberhorn, C. (2026). Resource-efficient universal photonic processors based on time-multiplexed hybrid architectures. <i>Physical Review Applied</i>, <i>25</i>(5), Article 054011. <a href=\"https://doi.org/10.1103/x99y-2sms\">https://doi.org/10.1103/x99y-2sms</a>"},"status":"public","volume":25,"user_id":"75127","_id":"65575","publisher":"American Physical Society (APS)"},{"citation":{"mla":"Pinske, Julien, et al. “Entangling Power of Nonentangling Channels.” <i>Physical Review A</i>, vol. 113, no. 5, 052413, American Physical Society (APS), 2026, doi:<a href=\"https://doi.org/10.1103/vy93-dnc8\">10.1103/vy93-dnc8</a>.","apa":"Pinske, J., Sperling, J., &#38; Mølmer, K. (2026). Entangling power of nonentangling channels. <i>Physical Review A</i>, <i>113</i>(5), Article 052413. <a href=\"https://doi.org/10.1103/vy93-dnc8\">https://doi.org/10.1103/vy93-dnc8</a>","ieee":"J. Pinske, J. Sperling, and K. Mølmer, “Entangling power of nonentangling channels,” <i>Physical Review A</i>, vol. 113, no. 5, Art. no. 052413, 2026, doi: <a href=\"https://doi.org/10.1103/vy93-dnc8\">10.1103/vy93-dnc8</a>.","ama":"Pinske J, Sperling J, Mølmer K. Entangling power of nonentangling channels. <i>Physical Review A</i>. 2026;113(5). doi:<a href=\"https://doi.org/10.1103/vy93-dnc8\">10.1103/vy93-dnc8</a>","short":"J. Pinske, J. Sperling, K. Mølmer, Physical Review A 113 (2026).","chicago":"Pinske, Julien, Jan Sperling, and Klaus Mølmer. “Entangling Power of Nonentangling Channels.” <i>Physical Review A</i> 113, no. 5 (2026). <a href=\"https://doi.org/10.1103/vy93-dnc8\">https://doi.org/10.1103/vy93-dnc8</a>.","bibtex":"@article{Pinske_Sperling_Mølmer_2026, title={Entangling power of nonentangling channels}, volume={113}, DOI={<a href=\"https://doi.org/10.1103/vy93-dnc8\">10.1103/vy93-dnc8</a>}, number={5052413}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Pinske, Julien and Sperling, Jan and Mølmer, Klaus}, year={2026} }"},"status":"public","volume":113,"user_id":"75127","_id":"65574","publisher":"American Physical Society (APS)","issue":"5","publication":"Physical Review A","department":[{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"706"},{"_id":"429"}],"type":"journal_article","date_created":"2026-05-07T06:57:10Z","intvolume":"       113","publication_status":"published","date_updated":"2026-05-07T06:58:39Z","author":[{"first_name":"Julien","last_name":"Pinske","full_name":"Pinske, Julien"},{"full_name":"Sperling, Jan","first_name":"Jan","last_name":"Sperling","orcid":"0000-0002-5844-3205","id":"75127"},{"full_name":"Mølmer, Klaus","first_name":"Klaus","last_name":"Mølmer"}],"publication_identifier":{"issn":["2469-9926","2469-9934"]},"title":"Entangling power of nonentangling channels","year":"2026","doi":"10.1103/vy93-dnc8","language":[{"iso":"eng"}],"article_number":"052413"},{"issue":"22","publication":"Journal of Physics A: Mathematical and Theoretical","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n                  <jats:p>In this work, we address the numerical identification of entanglement in dynamical scenarios. To this end, we consider different programs based on the restriction of the evolution to the set of separable (i.e., non-entangled) states, together with the discretization of the space of variables for numerical computations. As a first approach, we apply linear splitting methods to the restricted, continuous equations of motion derived from variational principles. We utilize an exchange interaction Hamiltonian to confirm that the numerical and analytical solutions coincide in the limit of small time steps. The application to different Hamiltonians shows the wide applicability of the method to detect dynamical entanglement. To avoid the derivation of analytical solutions for complex dynamics, we consider variational, numerical integration schemes, introducing a variational discretization for Lagrangians linear in velocities. Here, we examine and compare two approaches: one in which the system is discretized before the restriction is applied, and another in which the restriction precedes the discretization. We find that the ‘first-discretize-then-restrict’ method becomes numerically unstable, already for the example of an exchange-interaction Hamiltonian, which can be an important consideration for the numerical analysis of constrained quantum dynamics. Thereby, broadly applicable numerical tools, including their limitations, for studying entanglement over time are established for assessing the entangling power of processes that are used in quantum information theory.</jats:p>","lang":"eng"}],"date_created":"2026-06-05T07:37:43Z","type":"journal_article","department":[{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"706"},{"_id":"429"}],"title":"Numerical approaches to entangling dynamics from variational principles","year":"2026","author":[{"full_name":"Offen, Christian","first_name":"Christian","last_name":"Offen"},{"id":"95394","last_name":"Wembe Moafo","orcid":"0000-0002-6085-8071","first_name":"Boris Edgar","full_name":"Wembe Moafo, Boris Edgar"},{"full_name":"Ares, Laura","first_name":"Laura","last_name":"Ares"},{"id":"75127","full_name":"Sperling, Jan","orcid":"0000-0002-5844-3205","last_name":"Sperling","first_name":"Jan"},{"id":"16494","last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina"}],"publication_identifier":{"issn":["1751-8113","1751-8121"]},"date_updated":"2026-06-05T07:38:44Z","publication_status":"published","intvolume":"        59","article_number":"225303","language":[{"iso":"eng"}],"doi":"10.1088/1751-8121/ae6d51","citation":{"chicago":"Offen, Christian, Boris Edgar Wembe Moafo, Laura Ares, Jan Sperling, and Sina Ober-Blöbaum. “Numerical Approaches to Entangling Dynamics from Variational Principles.” <i>Journal of Physics A: Mathematical and Theoretical</i> 59, no. 22 (2026). <a href=\"https://doi.org/10.1088/1751-8121/ae6d51\">https://doi.org/10.1088/1751-8121/ae6d51</a>.","short":"C. Offen, B.E. Wembe Moafo, L. Ares, J. Sperling, S. Ober-Blöbaum, Journal of Physics A: Mathematical and Theoretical 59 (2026).","apa":"Offen, C., Wembe Moafo, B. E., Ares, L., Sperling, J., &#38; Ober-Blöbaum, S. (2026). Numerical approaches to entangling dynamics from variational principles. <i>Journal of Physics A: Mathematical and Theoretical</i>, <i>59</i>(22), Article 225303. <a href=\"https://doi.org/10.1088/1751-8121/ae6d51\">https://doi.org/10.1088/1751-8121/ae6d51</a>","ieee":"C. Offen, B. E. Wembe Moafo, L. Ares, J. Sperling, and S. Ober-Blöbaum, “Numerical approaches to entangling dynamics from variational principles,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 59, no. 22, Art. no. 225303, 2026, doi: <a href=\"https://doi.org/10.1088/1751-8121/ae6d51\">10.1088/1751-8121/ae6d51</a>.","ama":"Offen C, Wembe Moafo BE, Ares L, Sperling J, Ober-Blöbaum S. Numerical approaches to entangling dynamics from variational principles. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2026;59(22). doi:<a href=\"https://doi.org/10.1088/1751-8121/ae6d51\">10.1088/1751-8121/ae6d51</a>","bibtex":"@article{Offen_Wembe Moafo_Ares_Sperling_Ober-Blöbaum_2026, title={Numerical approaches to entangling dynamics from variational principles}, volume={59}, DOI={<a href=\"https://doi.org/10.1088/1751-8121/ae6d51\">10.1088/1751-8121/ae6d51</a>}, number={22225303}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing}, author={Offen, Christian and Wembe Moafo, Boris Edgar and Ares, Laura and Sperling, Jan and Ober-Blöbaum, Sina}, year={2026} }","mla":"Offen, Christian, et al. “Numerical Approaches to Entangling Dynamics from Variational Principles.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 59, no. 22, 225303, IOP Publishing, 2026, doi:<a href=\"https://doi.org/10.1088/1751-8121/ae6d51\">10.1088/1751-8121/ae6d51</a>."},"status":"public","_id":"65777","publisher":"IOP Publishing","user_id":"75127","volume":59},{"type":"journal_article","department":[{"_id":"975"},{"_id":"15"},{"_id":"623"},{"_id":"569"},{"_id":"170"},{"_id":"35"},{"_id":"429"},{"_id":"34"},{"_id":"502"}],"date_created":"2026-08-05T11:51:21Z","abstract":[{"text":"Multimode quantum light has promising applications in many areas of physics, such as quantum communications and quantum computing. However, its multimode nature also makes it challenging to measure its properties. Recently [I. Barakat et al., Optica Quantum 3, 36 (2025)], a technique for the simultaneous measurement of squeezing of multiple broadband modes based on a phase-sensitive amplification approach was experimentally implemented using a setup that effectively corresponds to an SU(1,1) interferometer. Here, we aim to provide a complete theoretical analysis of the modal structure of (generally unbalanced) SU(1,1) interferometers and a detailed theoretical formal derivation of the framework for this technique. Utilizing the joint Schmidt decomposition of the transfer functions, we investigate the shape and phase profiles of the modes of the SU(1,1) interferometer and its components [parametric down-conversion (PDC) sections] for different parametric gain regimes. We discover a complicated interplay between the PDC modes and the modes of the entire interferometer, and analyze it by using their overlap coefficients as a similarity measure. Finally, we develop a rigorous processing method for the aforementioned multimode squeezing measurement technique and discuss necessary approximations to make this method experimentally feasible.","lang":"eng"}],"publication":"Physical Review Research","issue":"3","doi":"10.1103/ph64-ts39","article_number":"033139","main_file_link":[{"open_access":"1","url":"https://journals.aps.org/prresearch/pdf/10.1103/ph64-ts39"}],"language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-08-12T14:29:44Z","article_type":"original","intvolume":"         8","year":"2026","title":"Characterization of spatial Schmidt modes in high-gain SU(1,1) interferometers","author":[{"full_name":"Scharwald, Dennis","orcid":"0009-0007-5654-5412","last_name":"Scharwald","first_name":"Dennis","id":"55907"},{"full_name":"Sharapova, Polina","first_name":"Polina","last_name":"Sharapova","id":"60286"}],"publication_identifier":{"issn":["2643-1564"]},"oa":"1","project":[{"name":"TRR 142 - Project Area C","_id":"56"},{"name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"_id":"174","name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse"},{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"citation":{"mla":"Scharwald, Dennis, and Polina Sharapova. “Characterization of Spatial Schmidt Modes in High-Gain SU(1,1) Interferometers.” <i>Physical Review Research</i>, vol. 8, no. 3, 033139, American Physical Society (APS), 2026, doi:<a href=\"https://doi.org/10.1103/ph64-ts39\">10.1103/ph64-ts39</a>.","bibtex":"@article{Scharwald_Sharapova_2026, title={Characterization of spatial Schmidt modes in high-gain SU(1,1) interferometers}, volume={8}, DOI={<a href=\"https://doi.org/10.1103/ph64-ts39\">10.1103/ph64-ts39</a>}, number={3033139}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Scharwald, Dennis and Sharapova, Polina}, year={2026} }","ama":"Scharwald D, Sharapova P. Characterization of spatial Schmidt modes in high-gain SU(1,1) interferometers. <i>Physical Review Research</i>. 2026;8(3). doi:<a href=\"https://doi.org/10.1103/ph64-ts39\">10.1103/ph64-ts39</a>","ieee":"D. Scharwald and P. Sharapova, “Characterization of spatial Schmidt modes in high-gain SU(1,1) interferometers,” <i>Physical Review Research</i>, vol. 8, no. 3, Art. no. 033139, 2026, doi: <a href=\"https://doi.org/10.1103/ph64-ts39\">10.1103/ph64-ts39</a>.","apa":"Scharwald, D., &#38; Sharapova, P. (2026). Characterization of spatial Schmidt modes in high-gain SU(1,1) interferometers. <i>Physical Review Research</i>, <i>8</i>(3), Article 033139. <a href=\"https://doi.org/10.1103/ph64-ts39\">https://doi.org/10.1103/ph64-ts39</a>","chicago":"Scharwald, Dennis, and Polina Sharapova. “Characterization of Spatial Schmidt Modes in High-Gain SU(1,1) Interferometers.” <i>Physical Review Research</i> 8, no. 3 (2026). <a href=\"https://doi.org/10.1103/ph64-ts39\">https://doi.org/10.1103/ph64-ts39</a>.","short":"D. Scharwald, P. Sharapova, Physical Review Research 8 (2026)."},"user_id":"55907","volume":8,"_id":"66665","publisher":"American Physical Society (APS)","status":"public"},{"_id":"60022","language":[{"iso":"eng"}],"user_id":"30525","author":[{"full_name":"Brauckmann, Michael","first_name":"Michael","last_name":"Brauckmann"},{"full_name":"Narvaez Castaneda, Emmanuel","first_name":"Emmanuel","last_name":"Narvaez Castaneda"},{"full_name":"Siebert, Dustin","first_name":"Dustin","last_name":"Siebert"},{"full_name":"Brecht, Benjamin","first_name":"Benjamin","last_name":"Brecht","orcid":"0000-0003-4140-0556 ","id":"27150"},{"last_name":"Förstner","first_name":"Jens","orcid":"0000-0001-7059-9862","full_name":"Förstner, Jens","id":"158"},{"full_name":"Zentgraf, Thomas","last_name":"Zentgraf","first_name":"Thomas","orcid":"0000-0002-8662-1101","id":"30525"}],"conference":{"start_date":"2025-07-22","name":"META 2025 - The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics","location":"Malaga, Spain","end_date":"2025-07-25"},"status":"public","title":"Enhancement Of Light-matter Interaction In Topological Waveguides And Resonators","year":"2025","date_updated":"2025-05-23T06:11:20Z","date_created":"2025-05-23T06:10:53Z","department":[{"_id":"15"},{"_id":"230"},{"_id":"289"},{"_id":"623"}],"type":"conference","citation":{"apa":"Brauckmann, M., Narvaez Castaneda, E., Siebert, D., Brecht, B., Förstner, J., &#38; Zentgraf, T. (2025). Enhancement Of Light-matter Interaction In Topological Waveguides And Resonators. <i>Proceedings of The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics</i>. META 2025 - The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics, Malaga, Spain.","ieee":"M. Brauckmann, E. Narvaez Castaneda, D. Siebert, B. Brecht, J. Förstner, and T. Zentgraf, “Enhancement Of Light-matter Interaction In Topological Waveguides And Resonators,” presented at the META 2025 - The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics, Malaga, Spain, 2025.","chicago":"Brauckmann, Michael, Emmanuel Narvaez Castaneda, Dustin Siebert, Benjamin Brecht, Jens Förstner, and Thomas Zentgraf. “Enhancement Of Light-Matter Interaction In Topological Waveguides And Resonators.” In <i>Proceedings of The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics</i>, 2025.","short":"M. Brauckmann, E. Narvaez Castaneda, D. Siebert, B. Brecht, J. Förstner, T. Zentgraf, in: Proceedings of The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics, 2025.","mla":"Brauckmann, Michael, et al. “Enhancement Of Light-Matter Interaction In Topological Waveguides And Resonators.” <i>Proceedings of The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics</i>, 2025.","ama":"Brauckmann M, Narvaez Castaneda E, Siebert D, Brecht B, Förstner J, Zentgraf T. Enhancement Of Light-matter Interaction In Topological Waveguides And Resonators. In: <i>Proceedings of The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics</i>. ; 2025.","bibtex":"@inproceedings{Brauckmann_Narvaez Castaneda_Siebert_Brecht_Förstner_Zentgraf_2025, title={Enhancement Of Light-matter Interaction In Topological Waveguides And Resonators}, booktitle={Proceedings of The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics}, author={Brauckmann, Michael and Narvaez Castaneda, Emmanuel and Siebert, Dustin and Brecht, Benjamin and Förstner, Jens and Zentgraf, Thomas}, year={2025} }"},"publication":"Proceedings of The 15th International Conference on Metamaterials, Photonic Crystals and Plasmonics","project":[{"name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","grant_number":"231447078","_id":"53"},{"_id":"54","name":"TRR 142 - A: TRR 142 - Project Area A"},{"_id":"164","grant_number":"231447078","name":"TRR 142 - A09: TRR 142 - Erzeugung von Drei-Photonen-Zuständen mit On-Chip Pumplichtunterdrückung in topologischen Wellenleitern (A09*)"}]},{"status":"public","user_id":"55907","volume":10,"_id":"63744","publisher":"AIP Publishing","project":[{"name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"name":"TRR 142 - Project Area C","_id":"56"},{"name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse","_id":"174"},{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"citation":{"mla":"Scharwald, Dennis, et al. “Schmidt Modes Carrying Orbital Angular Momentum Generated by Cascaded Systems Pumped with Laguerre–Gaussian Beams.” <i>APL Photonics</i>, vol. 10, no. 1, 016112, AIP Publishing, 2025, doi:<a href=\"https://doi.org/10.1063/5.0229802\">10.1063/5.0229802</a>.","ama":"Scharwald D, Gehse L, Sharapova P. Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian beams. <i>APL Photonics</i>. 2025;10(1). doi:<a href=\"https://doi.org/10.1063/5.0229802\">10.1063/5.0229802</a>","bibtex":"@article{Scharwald_Gehse_Sharapova_2025, title={Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian beams}, volume={10}, DOI={<a href=\"https://doi.org/10.1063/5.0229802\">10.1063/5.0229802</a>}, number={1016112}, journal={APL Photonics}, publisher={AIP Publishing}, author={Scharwald, Dennis and Gehse, Lucas and Sharapova, Polina}, year={2025} }","apa":"Scharwald, D., Gehse, L., &#38; Sharapova, P. (2025). Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian beams. <i>APL Photonics</i>, <i>10</i>(1), Article 016112. <a href=\"https://doi.org/10.1063/5.0229802\">https://doi.org/10.1063/5.0229802</a>","ieee":"D. Scharwald, L. Gehse, and P. Sharapova, “Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian beams,” <i>APL Photonics</i>, vol. 10, no. 1, Art. no. 016112, 2025, doi: <a href=\"https://doi.org/10.1063/5.0229802\">10.1063/5.0229802</a>.","chicago":"Scharwald, Dennis, Lucas Gehse, and Polina Sharapova. “Schmidt Modes Carrying Orbital Angular Momentum Generated by Cascaded Systems Pumped with Laguerre–Gaussian Beams.” <i>APL Photonics</i> 10, no. 1 (2025). <a href=\"https://doi.org/10.1063/5.0229802\">https://doi.org/10.1063/5.0229802</a>.","short":"D. Scharwald, L. Gehse, P. Sharapova, APL Photonics 10 (2025)."},"oa":"1","date_updated":"2026-02-01T13:19:20Z","publication_status":"published","intvolume":"        10","article_type":"original","year":"2025","title":"Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian beams","publication_identifier":{"issn":["2378-0967"]},"author":[{"id":"55907","last_name":"Scharwald","orcid":"0009-0007-5654-5412","first_name":"Dennis","full_name":"Scharwald, Dennis"},{"first_name":"Lucas","last_name":"Gehse","full_name":"Gehse, Lucas"},{"id":"60286","first_name":"Polina","last_name":"Sharapova","full_name":"Sharapova, Polina"}],"doi":"10.1063/5.0229802","main_file_link":[{"url":"https://pubs.aip.org/aip/app/article-pdf/doi/10.1063/5.0229802/20352749/016112_1_5.0229802.pdf","open_access":"1"}],"article_number":"016112","language":[{"iso":"eng"}],"abstract":[{"text":"Orbital angular momentum (OAM) modes are an important resource used in various branches of quantum science and technology due to their unique helical structure and countably infinite basis. Generating light that simultaneously carries high-order orbital angular momenta and exhibits quantum correlations is a challenging task. In this work, we present a theoretical approach to the generation of correlated Schmidt modes carrying OAM via parametric down-conversion (PDC) in cascaded nonlinear systems (nonlinear interferometers) pumped by Laguerre–Gaussian beams. We demonstrate how the number of generated modes and their population can be controlled by varying the pump parameters, the gain of the PDC process, and the distance between the crystals. We investigate the angular displacement measurement uncertainty of these interferometers and demonstrate that it can overcome the classical shot noise limit.","lang":"eng"}],"publication":"APL Photonics","issue":"1","type":"journal_article","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"35"},{"_id":"429"}],"date_created":"2026-01-26T15:48:54Z"},{"status":"public","_id":"63745","publisher":"Optica Publishing Group","user_id":"55907","volume":3,"citation":{"bibtex":"@article{Barakat_Kalash_Scharwald_Sharapova_Lindlein_Chekhova_2025, title={Simultaneous measurement of multimode squeezing through multimode phase-sensitive amplification}, volume={3}, DOI={<a href=\"https://doi.org/10.1364/opticaq.524682\">10.1364/opticaq.524682</a>}, number={136}, journal={Optica Quantum}, publisher={Optica Publishing Group}, author={Barakat, Ismail and Kalash, Mahmoud and Scharwald, Dennis and Sharapova, Polina and Lindlein, Norbert and Chekhova, Maria}, year={2025} }","chicago":"Barakat, Ismail, Mahmoud Kalash, Dennis Scharwald, Polina Sharapova, Norbert Lindlein, and Maria Chekhova. “Simultaneous Measurement of Multimode Squeezing through Multimode Phase-Sensitive Amplification.” <i>Optica Quantum</i> 3, no. 1 (2025). <a href=\"https://doi.org/10.1364/opticaq.524682\">https://doi.org/10.1364/opticaq.524682</a>.","short":"I. Barakat, M. Kalash, D. Scharwald, P. Sharapova, N. Lindlein, M. Chekhova, Optica Quantum 3 (2025).","ama":"Barakat I, Kalash M, Scharwald D, Sharapova P, Lindlein N, Chekhova M. Simultaneous measurement of multimode squeezing through multimode phase-sensitive amplification. <i>Optica Quantum</i>. 2025;3(1). doi:<a href=\"https://doi.org/10.1364/opticaq.524682\">10.1364/opticaq.524682</a>","ieee":"I. Barakat, M. Kalash, D. Scharwald, P. Sharapova, N. Lindlein, and M. Chekhova, “Simultaneous measurement of multimode squeezing through multimode phase-sensitive amplification,” <i>Optica Quantum</i>, vol. 3, no. 1, Art. no. 36, 2025, doi: <a href=\"https://doi.org/10.1364/opticaq.524682\">10.1364/opticaq.524682</a>.","mla":"Barakat, Ismail, et al. “Simultaneous Measurement of Multimode Squeezing through Multimode Phase-Sensitive Amplification.” <i>Optica Quantum</i>, vol. 3, no. 1, 36, Optica Publishing Group, 2025, doi:<a href=\"https://doi.org/10.1364/opticaq.524682\">10.1364/opticaq.524682</a>.","apa":"Barakat, I., Kalash, M., Scharwald, D., Sharapova, P., Lindlein, N., &#38; Chekhova, M. (2025). Simultaneous measurement of multimode squeezing through multimode phase-sensitive amplification. <i>Optica Quantum</i>, <i>3</i>(1), Article 36. <a href=\"https://doi.org/10.1364/opticaq.524682\">https://doi.org/10.1364/opticaq.524682</a>"},"project":[{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"name":"TRR 142 - Project Area C","_id":"56"},{"name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse","_id":"174"},{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"oa":"1","year":"2025","title":"Simultaneous measurement of multimode squeezing through multimode phase-sensitive amplification","author":[{"last_name":"Barakat","first_name":"Ismail","full_name":"Barakat, Ismail"},{"full_name":"Kalash, Mahmoud","first_name":"Mahmoud","last_name":"Kalash"},{"id":"55907","full_name":"Scharwald, Dennis","last_name":"Scharwald","first_name":"Dennis","orcid":"0009-0007-5654-5412"},{"id":"60286","first_name":"Polina","last_name":"Sharapova","full_name":"Sharapova, Polina"},{"last_name":"Lindlein","first_name":"Norbert","full_name":"Lindlein, Norbert"},{"full_name":"Chekhova, Maria","last_name":"Chekhova","first_name":"Maria"}],"publication_identifier":{"issn":["2837-6714"]},"publication_status":"published","date_updated":"2026-02-10T22:44:44Z","article_type":"original","intvolume":"         3","article_number":"36","main_file_link":[{"url":"https://opg.optica.org/opticaq/viewmedia.cfm?uri=opticaq-3-1-36&seq=0","open_access":"1"}],"language":[{"iso":"eng"}],"doi":"10.1364/opticaq.524682","issue":"1","publication":"Optica Quantum","abstract":[{"lang":"eng","text":"Multimode squeezed light is an increasingly popular tool in photonic quantum technologies, including sensing, imaging, and computation. Meanwhile, the existing methods of its characterization are technically complicated, which reduces the level of squeezing, and mostly deal with a single mode at a time. Here, for the first time, to the best of our knowledge, we employ optical parametric amplification to characterize multiple squeezing eigenmodes simultaneously. We retrieve the shapes and squeezing degrees of all modes at once through direct detection followed by modal decomposition. This method is tolerant to inefficient detection and does not require a local oscillator. For a spectrally and spatially multimode squeezed vacuum, we characterize eight strongest spatial modes, obtaining squeezing and anti-squeezing values of up to −5.2 ± 0.2 dB and 8.6 ± 0.3 dB, respectively, despite the 50% detection loss. This work, being the first exploration of an optical parametric amplifier’s multimode capability for squeezing detection, paves the way for the real-time detection of multimode squeezing."}],"date_created":"2026-01-26T15:57:13Z","type":"journal_article","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"35"},{"_id":"429"}]},{"department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"706"},{"_id":"35"},{"_id":"230"},{"_id":"623"},{"_id":"429"}],"type":"journal_article","date_created":"2025-09-12T10:37:34Z","issue":"3","publication":"Physical Review A","doi":"10.1103/physreva.111.032404","language":[{"iso":"eng"}],"article_number":"032404","intvolume":"       111","date_updated":"2025-09-12T10:42:16Z","publication_status":"published","author":[{"full_name":"Barkhausen, Franziska","first_name":"Franziska","last_name":"Barkhausen","id":"63631"},{"full_name":"Ares Santos, Laura","last_name":"Ares Santos","first_name":"Laura"},{"id":"27271","last_name":"Schumacher","first_name":"Stefan","orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan"},{"full_name":"Sperling, Jan","first_name":"Jan","orcid":"0000-0002-5844-3205","last_name":"Sperling","id":"75127"}],"publication_identifier":{"issn":["2469-9926","2469-9934"]},"title":"Entanglement between dependent degrees of freedom: Quasiparticle correlations","year":"2025","project":[{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"name":"TRR 142 - Project Area A","_id":"54"},{"_id":"56","name":"TRR 142 - Project Area C"},{"_id":"61","name":"TRR 142; TP A04: Nichtlineare Quantenprozesstomographie und Photonik mit Polaritonen in Mikrokavitäten"},{"_id":"174","name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse"},{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"citation":{"short":"F. Barkhausen, L. Ares Santos, S. Schumacher, J. Sperling, Physical Review A 111 (2025).","chicago":"Barkhausen, Franziska, Laura Ares Santos, Stefan Schumacher, and Jan Sperling. “Entanglement between Dependent Degrees of Freedom: Quasiparticle Correlations.” <i>Physical Review A</i> 111, no. 3 (2025). <a href=\"https://doi.org/10.1103/physreva.111.032404\">https://doi.org/10.1103/physreva.111.032404</a>.","ieee":"F. Barkhausen, L. Ares Santos, S. Schumacher, and J. Sperling, “Entanglement between dependent degrees of freedom: Quasiparticle correlations,” <i>Physical Review A</i>, vol. 111, no. 3, Art. no. 032404, 2025, doi: <a href=\"https://doi.org/10.1103/physreva.111.032404\">10.1103/physreva.111.032404</a>.","apa":"Barkhausen, F., Ares Santos, L., Schumacher, S., &#38; Sperling, J. (2025). Entanglement between dependent degrees of freedom: Quasiparticle correlations. <i>Physical Review A</i>, <i>111</i>(3), Article 032404. <a href=\"https://doi.org/10.1103/physreva.111.032404\">https://doi.org/10.1103/physreva.111.032404</a>","bibtex":"@article{Barkhausen_Ares Santos_Schumacher_Sperling_2025, title={Entanglement between dependent degrees of freedom: Quasiparticle correlations}, volume={111}, DOI={<a href=\"https://doi.org/10.1103/physreva.111.032404\">10.1103/physreva.111.032404</a>}, number={3032404}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Barkhausen, Franziska and Ares Santos, Laura and Schumacher, Stefan and Sperling, Jan}, year={2025} }","ama":"Barkhausen F, Ares Santos L, Schumacher S, Sperling J. Entanglement between dependent degrees of freedom: Quasiparticle correlations. <i>Physical Review A</i>. 2025;111(3). doi:<a href=\"https://doi.org/10.1103/physreva.111.032404\">10.1103/physreva.111.032404</a>","mla":"Barkhausen, Franziska, et al. “Entanglement between Dependent Degrees of Freedom: Quasiparticle Correlations.” <i>Physical Review A</i>, vol. 111, no. 3, 032404, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/physreva.111.032404\">10.1103/physreva.111.032404</a>."},"volume":111,"user_id":"16199","publisher":"American Physical Society (APS)","_id":"61245","status":"public"},{"issue":"16","publication":"Advanced Materials Interfaces","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The interaction of water molecules with semiconductor surfaces is relevant to various optoelectronic phenomena and physicochemical processes. Despite advances in fundamental understanding of water‐exposed surfaces, the detailed time‐ and energy‐resolved behavior of excited electrons remains largely unexplored. Here, the effects of water exposure on the near‐surface electron dynamics of phosphorus‐terminated p(2×2)/c(4×2)‐reconstructed indium phosphide (100) (P‐rich InP) are studied experimentally and matched to theoretical calculations. The P‐rich InP surface, consisting of H‐passivated P‐dimers, serves as a model for other P‐containing III‐V semiconductors such as gallium phosphide (GaP) or aluminum indium phosphide (AlInP). Electron dynamics near the surface are probed with femtosecond resolution using time‐resolved two‐photon photoemission (tr‐2PPE), a pump‐probe spectroscopic technique. Pulsed water exposure preserves electronic states and significantly increases lifetimes at the conduction band minimum (CBM). Density‐functional theory (DFT) calculations attribute these findings to suppression of surface vibrational modes in the top P‐layer by water exposure, reducing electronic transition probabilities of near‐band‐gap surface states. The results suggest that many near‐surface state lifetimes reported in ultra‐high vacuum may change significantly upon electrolyte exposure. These states may thus contribute more strongly to surface reactions than traditionally assumed. Demonstrating this effect for the technologically relevant P‐rich InP surface opens new opportunities in this underexplored area of surface electrochemistry.</jats:p>"}],"date_created":"2025-09-18T11:03:16Z","type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"295"},{"_id":"35"},{"_id":"230"},{"_id":"27"},{"_id":"429"}],"year":"2025","title":"Ultrafast Electron Dynamics at the Water‐Modified InP(100) Surface","publication_identifier":{"issn":["2196-7350","2196-7350"]},"author":[{"last_name":"Diederich","first_name":"Jonathan","full_name":"Diederich, Jonathan"},{"last_name":"Paszuk","first_name":"Agnieszka","full_name":"Paszuk, Agnieszka"},{"id":"79462","full_name":"Ruiz Alvarado, Isaac Azahel","orcid":"0000-0002-4710-1170","last_name":"Ruiz Alvarado","first_name":"Isaac Azahel"},{"full_name":"Krenz, Marvin","first_name":"Marvin","last_name":"Krenz"},{"last_name":"Zare Pour","first_name":"Mohammad Amin","full_name":"Zare Pour, Mohammad Amin"},{"first_name":"Diwakar Suresh","last_name":"Babu","full_name":"Babu, Diwakar Suresh"},{"last_name":"Velazquez Rojas","first_name":"Jennifer","full_name":"Velazquez Rojas, Jennifer"},{"first_name":"Christian","last_name":"Höhn","full_name":"Höhn, Christian"},{"full_name":"Gao, Yuying","last_name":"Gao","first_name":"Yuying"},{"first_name":"Klaus","last_name":"Schwarzburg","full_name":"Schwarzburg, Klaus"},{"full_name":"Ostheimer, David","first_name":"David","last_name":"Ostheimer"},{"first_name":"Rainer","last_name":"Eichberger","full_name":"Eichberger, Rainer"},{"id":"468","full_name":"Schmidt, Wolf Gero","first_name":"Wolf Gero","orcid":"0000-0002-2717-5076","last_name":"Schmidt"},{"full_name":"Hannappel, Thomas","first_name":"Thomas","last_name":"Hannappel"},{"full_name":"de Krol, Roel van","first_name":"Roel van","last_name":"de Krol"},{"first_name":"Dennis","last_name":"Friedrich","full_name":"Friedrich, Dennis"}],"date_updated":"2025-09-18T11:06:59Z","publication_status":"published","intvolume":"        12","article_number":"e00463","language":[{"iso":"eng"}],"doi":"10.1002/admi.202500463","citation":{"apa":"Diederich, J., Paszuk, A., Ruiz Alvarado, I. A., Krenz, M., Zare Pour, M. A., Babu, D. S., Velazquez Rojas, J., Höhn, C., Gao, Y., Schwarzburg, K., Ostheimer, D., Eichberger, R., Schmidt, W. G., Hannappel, T., de Krol, R. van, &#38; Friedrich, D. (2025). Ultrafast Electron Dynamics at the Water‐Modified InP(100) Surface. <i>Advanced Materials Interfaces</i>, <i>12</i>(16), Article e00463. <a href=\"https://doi.org/10.1002/admi.202500463\">https://doi.org/10.1002/admi.202500463</a>","ieee":"J. Diederich <i>et al.</i>, “Ultrafast Electron Dynamics at the Water‐Modified InP(100) Surface,” <i>Advanced Materials Interfaces</i>, vol. 12, no. 16, Art. no. e00463, 2025, doi: <a href=\"https://doi.org/10.1002/admi.202500463\">10.1002/admi.202500463</a>.","short":"J. Diederich, A. Paszuk, I.A. Ruiz Alvarado, M. Krenz, M.A. Zare Pour, D.S. Babu, J. Velazquez Rojas, C. Höhn, Y. Gao, K. Schwarzburg, D. Ostheimer, R. Eichberger, W.G. Schmidt, T. Hannappel, R. van de Krol, D. Friedrich, Advanced Materials Interfaces 12 (2025).","chicago":"Diederich, Jonathan, Agnieszka Paszuk, Isaac Azahel Ruiz Alvarado, Marvin Krenz, Mohammad Amin Zare Pour, Diwakar Suresh Babu, Jennifer Velazquez Rojas, et al. “Ultrafast Electron Dynamics at the Water‐Modified InP(100) Surface.” <i>Advanced Materials Interfaces</i> 12, no. 16 (2025). <a href=\"https://doi.org/10.1002/admi.202500463\">https://doi.org/10.1002/admi.202500463</a>.","mla":"Diederich, Jonathan, et al. “Ultrafast Electron Dynamics at the Water‐Modified InP(100) Surface.” <i>Advanced Materials Interfaces</i>, vol. 12, no. 16, e00463, Wiley, 2025, doi:<a href=\"https://doi.org/10.1002/admi.202500463\">10.1002/admi.202500463</a>.","ama":"Diederich J, Paszuk A, Ruiz Alvarado IA, et al. Ultrafast Electron Dynamics at the Water‐Modified InP(100) Surface. <i>Advanced Materials Interfaces</i>. 2025;12(16). doi:<a href=\"https://doi.org/10.1002/admi.202500463\">10.1002/admi.202500463</a>","bibtex":"@article{Diederich_Paszuk_Ruiz Alvarado_Krenz_Zare Pour_Babu_Velazquez Rojas_Höhn_Gao_Schwarzburg_et al._2025, title={Ultrafast Electron Dynamics at the Water‐Modified InP(100) Surface}, volume={12}, DOI={<a href=\"https://doi.org/10.1002/admi.202500463\">10.1002/admi.202500463</a>}, number={16e00463}, journal={Advanced Materials Interfaces}, publisher={Wiley}, author={Diederich, Jonathan and Paszuk, Agnieszka and Ruiz Alvarado, Isaac Azahel and Krenz, Marvin and Zare Pour, Mohammad Amin and Babu, Diwakar Suresh and Velazquez Rojas, Jennifer and Höhn, Christian and Gao, Yuying and Schwarzburg, Klaus and et al.}, year={2025} }"},"project":[{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"name":"TRR 142 - Project Area B","_id":"55"},{"_id":"168","name":"TRR 142 - Polaronen-Einfluss auf die optischen Eigenschaften von Lithiumniobat (B07*)"},{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"status":"public","_id":"61351","publisher":"Wiley","user_id":"16199","volume":12},{"title":"Topological defects in semiconducting carbon nanotubes as triplet exciton traps and single-photon emitters","year":"2025","author":[{"full_name":"Biktagirov, Timur","last_name":"Biktagirov","first_name":"Timur","id":"65612"},{"full_name":"Gerstmann, Uwe","last_name":"Gerstmann","first_name":"Uwe","orcid":"0000-0002-4476-223X","id":"171"},{"full_name":"Schmidt, Wolf Gero","orcid":"0000-0002-2717-5076","last_name":"Schmidt","first_name":"Wolf Gero","id":"468"}],"publication_identifier":{"issn":["2040-3364","2040-3372"]},"date_updated":"2025-09-18T11:26:23Z","publication_status":"published","intvolume":"        17","language":[{"iso":"eng"}],"doi":"10.1039/d4nr03904a","issue":"11","publication":"Nanoscale","abstract":[{"text":"<jats:p>First-principles calculations reveal how topological defects in semiconducting carbon nanotubes trap triplet excitons and enable single-photon emission at telecom wavelengths, offering new insights into their potential for photonic devices.</jats:p>","lang":"eng"}],"date_created":"2025-09-18T11:23:25Z","type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"295"},{"_id":"790"},{"_id":"35"},{"_id":"230"},{"_id":"27"},{"_id":"429"}],"status":"public","page":"6884-6891","publisher":"Royal Society of Chemistry (RSC)","_id":"61356","user_id":"16199","volume":17,"citation":{"chicago":"Biktagirov, Timur, Uwe Gerstmann, and Wolf Gero Schmidt. “Topological Defects in Semiconducting Carbon Nanotubes as Triplet Exciton Traps and Single-Photon Emitters.” <i>Nanoscale</i> 17, no. 11 (2025): 6884–91. <a href=\"https://doi.org/10.1039/d4nr03904a\">https://doi.org/10.1039/d4nr03904a</a>.","short":"T. Biktagirov, U. Gerstmann, W.G. Schmidt, Nanoscale 17 (2025) 6884–6891.","apa":"Biktagirov, T., Gerstmann, U., &#38; Schmidt, W. G. (2025). Topological defects in semiconducting carbon nanotubes as triplet exciton traps and single-photon emitters. <i>Nanoscale</i>, <i>17</i>(11), 6884–6891. <a href=\"https://doi.org/10.1039/d4nr03904a\">https://doi.org/10.1039/d4nr03904a</a>","ieee":"T. Biktagirov, U. Gerstmann, and W. G. Schmidt, “Topological defects in semiconducting carbon nanotubes as triplet exciton traps and single-photon emitters,” <i>Nanoscale</i>, vol. 17, no. 11, pp. 6884–6891, 2025, doi: <a href=\"https://doi.org/10.1039/d4nr03904a\">10.1039/d4nr03904a</a>.","ama":"Biktagirov T, Gerstmann U, Schmidt WG. Topological defects in semiconducting carbon nanotubes as triplet exciton traps and single-photon emitters. <i>Nanoscale</i>. 2025;17(11):6884-6891. doi:<a href=\"https://doi.org/10.1039/d4nr03904a\">10.1039/d4nr03904a</a>","bibtex":"@article{Biktagirov_Gerstmann_Schmidt_2025, title={Topological defects in semiconducting carbon nanotubes as triplet exciton traps and single-photon emitters}, volume={17}, DOI={<a href=\"https://doi.org/10.1039/d4nr03904a\">10.1039/d4nr03904a</a>}, number={11}, journal={Nanoscale}, publisher={Royal Society of Chemistry (RSC)}, author={Biktagirov, Timur and Gerstmann, Uwe and Schmidt, Wolf Gero}, year={2025}, pages={6884–6891} }","mla":"Biktagirov, Timur, et al. “Topological Defects in Semiconducting Carbon Nanotubes as Triplet Exciton Traps and Single-Photon Emitters.” <i>Nanoscale</i>, vol. 17, no. 11, Royal Society of Chemistry (RSC), 2025, pp. 6884–91, doi:<a href=\"https://doi.org/10.1039/d4nr03904a\">10.1039/d4nr03904a</a>."},"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"name":"TRR 142 - Project Area A","_id":"54"},{"_id":"55","name":"TRR 142 - Project Area B"},{"name":"TRR 142 - Polaronen-Einfluss auf die optischen Eigenschaften von Lithiumniobat (B07*)","_id":"168"},{"_id":"166","name":"TRR 142 - Subproject A11"}]},{"file_date_updated":"2025-10-05T11:48:25Z","citation":{"apa":"Hammer, M., Khan, S., Taheri, B., Farheen, H., &#38; Förstner, J. (2025). TFLN channel waveguides of rib and strip type: Properties of guided modes. <i>Optics Continuum</i>, <i>4</i>(10), 2356. <a href=\"https://doi.org/10.1364/optcon.569959\">https://doi.org/10.1364/optcon.569959</a>","ieee":"M. Hammer, S. Khan, B. Taheri, H. Farheen, and J. Förstner, “TFLN channel waveguides of rib and strip type: Properties of guided modes,” <i>Optics Continuum</i>, vol. 4, no. 10, p. 2356, 2025, doi: <a href=\"https://doi.org/10.1364/optcon.569959\">10.1364/optcon.569959</a>.","short":"M. Hammer, S. Khan, B. Taheri, H. Farheen, J. Förstner, Optics Continuum 4 (2025) 2356.","chicago":"Hammer, Manfred, Shahriar Khan, Behnood Taheri, Henna Farheen, and Jens Förstner. “TFLN Channel Waveguides of Rib and Strip Type: Properties of Guided Modes.” <i>Optics Continuum</i> 4, no. 10 (2025): 2356. <a href=\"https://doi.org/10.1364/optcon.569959\">https://doi.org/10.1364/optcon.569959</a>.","mla":"Hammer, Manfred, et al. “TFLN Channel Waveguides of Rib and Strip Type: Properties of Guided Modes.” <i>Optics Continuum</i>, vol. 4, no. 10, Optica Publishing Group, 2025, p. 2356, doi:<a href=\"https://doi.org/10.1364/optcon.569959\">10.1364/optcon.569959</a>.","ama":"Hammer M, Khan S, Taheri B, Farheen H, Förstner J. TFLN channel waveguides of rib and strip type: Properties of guided modes. <i>Optics Continuum</i>. 2025;4(10):2356. doi:<a href=\"https://doi.org/10.1364/optcon.569959\">10.1364/optcon.569959</a>","bibtex":"@article{Hammer_Khan_Taheri_Farheen_Förstner_2025, title={TFLN channel waveguides of rib and strip type: Properties of guided modes}, volume={4}, DOI={<a href=\"https://doi.org/10.1364/optcon.569959\">10.1364/optcon.569959</a>}, number={10}, journal={Optics Continuum}, publisher={Optica Publishing Group}, author={Hammer, Manfred and Khan, Shahriar and Taheri, Behnood and Farheen, Henna and Förstner, Jens}, year={2025}, pages={2356} }"},"has_accepted_license":"1","status":"public","ddc":["530"],"user_id":"158","volume":4,"page":"2356","publisher":"Optica Publishing Group","_id":"60891","abstract":[{"text":"Straight dielectric waveguide channels made from slabs of thin-film lithium niobate (TFLN), or lithium niobate on insulator (LNOI), are investigated in the linear regime, for channels of rib and strip type with common trapezoidal cross sections, in Z-cut and X-cut samples at varying on-chip orientation. We clarify the theoretical basis for the waveguides with potentially non-diagonal core permittivity. Symmetry classes can be distinguished that differ in their consequences for potential modal degeneracy and polarization conversion. Our rigorous numerical analysis by means of a finite-element solver takes the anisotropy of the lithium niobate cores rigorously into account. We discuss extensive data for effective indices, polarization properties, and hybridization of guided modes, in single- and multimode channels. Scans over the waveguide width and orientation as primary parameters are complemented by a series of illustrations of vectorial mode profiles. These turn out to be essentially complex in cases of X-cut channels at non-crystal-axis-aligned orientations.","lang":"eng"}],"publication":"Optics Continuum","issue":"10","type":"journal_article","keyword":["tet_topic_waveguide"],"department":[{"_id":"61"},{"_id":"230"},{"_id":"429"},{"_id":"623"}],"file":[{"file_name":"2025-08 Hammer - Optics Continuum - TFLN channel waveguides of rib and strip type. Properties of guided modes (official version).pdf","file_size":5417636,"access_level":"closed","relation":"main_file","date_updated":"2025-10-05T11:48:25Z","file_id":"61516","success":1,"content_type":"application/pdf","creator":"fossie","date_created":"2025-10-05T11:48:25Z"}],"date_created":"2025-08-06T09:36:30Z","date_updated":"2025-10-05T11:52:55Z","publication_status":"published","intvolume":"         4","title":"TFLN channel waveguides of rib and strip type: Properties of guided modes","year":"2025","publication_identifier":{"issn":["2770-0208"]},"author":[{"full_name":"Hammer, Manfred","first_name":"Manfred","last_name":"Hammer","orcid":"0000-0002-6331-9348","id":"48077"},{"last_name":"Khan","first_name":"Shahriar","full_name":"Khan, Shahriar"},{"full_name":"Taheri, Behnood","first_name":"Behnood","last_name":"Taheri"},{"last_name":"Farheen","orcid":"0000-0001-7730-3489","first_name":"Henna","full_name":"Farheen, Henna","id":"53444"},{"id":"158","orcid":"0000-0001-7059-9862","first_name":"Jens","last_name":"Förstner","full_name":"Förstner, Jens"}],"doi":"10.1364/optcon.569959","language":[{"iso":"eng"}]},{"department":[{"_id":"61"},{"_id":"230"},{"_id":"429"},{"_id":"623"}],"keyword":["tet_topic_waveguide"],"type":"conference","date_created":"2025-10-08T15:20:13Z","abstract":[{"lang":"eng","text":"We present a topology-optimized silicon nitride (Si3N4) coupler designed to enhance the coupling efficiency between integrated single-photon emitters and photonic waveguide modes. By leveraging inverse design techniques, we optimize the coupler’s geometry to maximize power transfer while maintaining fabrication feasibility by improving mode overlap and directional emission, addressing the challenge of low coupling efficiency caused by size mismatch and material incompatibility. Simulations demonstrate a substantial enhancement in photon extraction and waveguide coupling. This approach can be extended to other photonic devices, offering a versatile framework for improving quantum light-matter interactions in integrated photonics."}],"citation":{"short":"H. Farheen, Y. Chen, P. Chen, A. Kryvobok, S. Peana, A. Senichev, V.M. Shalaev, A. Boltasseva, J. Förstner, A.V. Kildishev, in: X. Ni, W. Cai (Eds.), Photonic Computing: From Materials and Devices to Systems and Applications II, SPIE, 2025.","chicago":"Farheen, Henna, Yuheng Chen, Peigang Chen, Artem Kryvobok, Samuel Peana, Alexander Senichev, Vladimir M. Shalaev, Alexandra Boltasseva, Jens Förstner, and Alexander V. Kildishev. “Topology-Optimized Silicon Nitride Coupler for Integrated Single-Photon Emitters.” In <i>Photonic Computing: From Materials and Devices to Systems and Applications II</i>, edited by Xingjie Ni and Wenshan Cai. SPIE, 2025. <a href=\"https://doi.org/10.1117/12.3065734\">https://doi.org/10.1117/12.3065734</a>.","apa":"Farheen, H., Chen, Y., Chen, P., Kryvobok, A., Peana, S., Senichev, A., Shalaev, V. M., Boltasseva, A., Förstner, J., &#38; Kildishev, A. V. (2025). Topology-optimized silicon nitride coupler for integrated single-photon emitters. In X. Ni &#38; W. Cai (Eds.), <i>Photonic Computing: From Materials and Devices to Systems and Applications II</i>. SPIE. <a href=\"https://doi.org/10.1117/12.3065734\">https://doi.org/10.1117/12.3065734</a>","ieee":"H. Farheen <i>et al.</i>, “Topology-optimized silicon nitride coupler for integrated single-photon emitters,” in <i>Photonic Computing: From Materials and Devices to Systems and Applications II</i>, 2025, doi: <a href=\"https://doi.org/10.1117/12.3065734\">10.1117/12.3065734</a>.","ama":"Farheen H, Chen Y, Chen P, et al. Topology-optimized silicon nitride coupler for integrated single-photon emitters. In: Ni X, Cai W, eds. <i>Photonic Computing: From Materials and Devices to Systems and Applications II</i>. SPIE; 2025. doi:<a href=\"https://doi.org/10.1117/12.3065734\">10.1117/12.3065734</a>","bibtex":"@inproceedings{Farheen_Chen_Chen_Kryvobok_Peana_Senichev_Shalaev_Boltasseva_Förstner_Kildishev_2025, title={Topology-optimized silicon nitride coupler for integrated single-photon emitters}, DOI={<a href=\"https://doi.org/10.1117/12.3065734\">10.1117/12.3065734</a>}, booktitle={Photonic Computing: From Materials and Devices to Systems and Applications II}, publisher={SPIE}, author={Farheen, Henna and Chen, Yuheng and Chen, Peigang and Kryvobok, Artem and Peana, Samuel and Senichev, Alexander and Shalaev, Vladimir M. and Boltasseva, Alexandra and Förstner, Jens and Kildishev, Alexander V.}, editor={Ni, Xingjie and Cai, Wenshan}, year={2025} }","mla":"Farheen, Henna, et al. “Topology-Optimized Silicon Nitride Coupler for Integrated Single-Photon Emitters.” <i>Photonic Computing: From Materials and Devices to Systems and Applications II</i>, edited by Xingjie Ni and Wenshan Cai, SPIE, 2025, doi:<a href=\"https://doi.org/10.1117/12.3065734\">10.1117/12.3065734</a>."},"publication":"Photonic Computing: From Materials and Devices to Systems and Applications II","editor":[{"first_name":"Xingjie","last_name":"Ni","full_name":"Ni, Xingjie"},{"first_name":"Wenshan","last_name":"Cai","full_name":"Cai, Wenshan"}],"doi":"10.1117/12.3065734","user_id":"158","language":[{"iso":"eng"}],"_id":"61760","publisher":"SPIE","date_updated":"2025-10-08T15:22:30Z","publication_status":"published","author":[{"full_name":"Farheen, Henna","first_name":"Henna","last_name":"Farheen","orcid":"0000-0001-7730-3489","id":"53444"},{"last_name":"Chen","first_name":"Yuheng","full_name":"Chen, Yuheng"},{"full_name":"Chen, Peigang","first_name":"Peigang","last_name":"Chen"},{"full_name":"Kryvobok, Artem","last_name":"Kryvobok","first_name":"Artem"},{"full_name":"Peana, Samuel","first_name":"Samuel","last_name":"Peana"},{"full_name":"Senichev, Alexander","first_name":"Alexander","last_name":"Senichev"},{"full_name":"Shalaev, Vladimir M.","first_name":"Vladimir M.","last_name":"Shalaev"},{"full_name":"Boltasseva, Alexandra","first_name":"Alexandra","last_name":"Boltasseva"},{"id":"158","last_name":"Förstner","orcid":"0000-0001-7059-9862","first_name":"Jens","full_name":"Förstner, Jens"},{"first_name":"Alexander V.","last_name":"Kildishev","full_name":"Kildishev, Alexander V."}],"title":"Topology-optimized silicon nitride coupler for integrated single-photon emitters","status":"public","year":"2025"},{"status":"public","_id":"62057","publisher":"Springer Science and Business Media LLC","user_id":"30525","volume":15,"citation":{"ama":"Schiller KJ, Sternemann L, Stupar M, et al. Time-resolved momentum microscopy with fs-XUV photons at high repetition rates with flexible energy and time resolution. <i>Scientific Reports</i>. 2025;15(1). doi:<a href=\"https://doi.org/10.1038/s41598-025-86660-1\">10.1038/s41598-025-86660-1</a>","bibtex":"@article{Schiller_Sternemann_Stupar_Omar_Hoffmann_Nitschke_Mischke_Janas_Ponzoni_Zamborlini_et al._2025, title={Time-resolved momentum microscopy with fs-XUV photons at high repetition rates with flexible energy and time resolution}, volume={15}, DOI={<a href=\"https://doi.org/10.1038/s41598-025-86660-1\">10.1038/s41598-025-86660-1</a>}, number={13611}, journal={Scientific Reports}, publisher={Springer Science and Business Media LLC}, author={Schiller, Karl Jakob and Sternemann, Lasse and Stupar, Matija and Omar, Alan and Hoffmann, Martin and Nitschke, Jonah Elias and Mischke, Valentin and Janas, David Maximilian and Ponzoni, Stefano and Zamborlini, Giovanni and et al.}, year={2025} }","mla":"Schiller, Karl Jakob, et al. “Time-Resolved Momentum Microscopy with Fs-XUV Photons at High Repetition Rates with Flexible Energy and Time Resolution.” <i>Scientific Reports</i>, vol. 15, no. 1, 3611, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1038/s41598-025-86660-1\">10.1038/s41598-025-86660-1</a>.","short":"K.J. Schiller, L. Sternemann, M. Stupar, A. Omar, M. Hoffmann, J.E. Nitschke, V. Mischke, D.M. Janas, S. Ponzoni, G. Zamborlini, C.J. Saraceno, M. Cinchetti, Scientific Reports 15 (2025).","chicago":"Schiller, Karl Jakob, Lasse Sternemann, Matija Stupar, Alan Omar, Martin Hoffmann, Jonah Elias Nitschke, Valentin Mischke, et al. “Time-Resolved Momentum Microscopy with Fs-XUV Photons at High Repetition Rates with Flexible Energy and Time Resolution.” <i>Scientific Reports</i> 15, no. 1 (2025). <a href=\"https://doi.org/10.1038/s41598-025-86660-1\">https://doi.org/10.1038/s41598-025-86660-1</a>.","apa":"Schiller, K. J., Sternemann, L., Stupar, M., Omar, A., Hoffmann, M., Nitschke, J. E., Mischke, V., Janas, D. M., Ponzoni, S., Zamborlini, G., Saraceno, C. J., &#38; Cinchetti, M. (2025). Time-resolved momentum microscopy with fs-XUV photons at high repetition rates with flexible energy and time resolution. <i>Scientific Reports</i>, <i>15</i>(1), Article 3611. <a href=\"https://doi.org/10.1038/s41598-025-86660-1\">https://doi.org/10.1038/s41598-025-86660-1</a>","ieee":"K. J. Schiller <i>et al.</i>, “Time-resolved momentum microscopy with fs-XUV photons at high repetition rates with flexible energy and time resolution,” <i>Scientific Reports</i>, vol. 15, no. 1, Art. no. 3611, 2025, doi: <a href=\"https://doi.org/10.1038/s41598-025-86660-1\">10.1038/s41598-025-86660-1</a>."},"project":[{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"name":"TRR 142 - Project Area A","_id":"54"},{"name":"TRR 142; TP A08: Nichtlineare Kopplung von Zwischenschicht-Exzitonen in van der Waals-Heterostrukturen an plasmonische und dielektrische Nanokavitäten","_id":"65"}],"title":"Time-resolved momentum microscopy with fs-XUV photons at high repetition rates with flexible energy and time resolution","year":"2025","author":[{"last_name":"Schiller","first_name":"Karl Jakob","full_name":"Schiller, Karl Jakob"},{"last_name":"Sternemann","first_name":"Lasse","full_name":"Sternemann, Lasse"},{"full_name":"Stupar, Matija","last_name":"Stupar","first_name":"Matija"},{"last_name":"Omar","first_name":"Alan","full_name":"Omar, Alan"},{"last_name":"Hoffmann","first_name":"Martin","full_name":"Hoffmann, Martin"},{"full_name":"Nitschke, Jonah Elias","first_name":"Jonah Elias","last_name":"Nitschke"},{"last_name":"Mischke","first_name":"Valentin","full_name":"Mischke, Valentin"},{"full_name":"Janas, David Maximilian","first_name":"David Maximilian","last_name":"Janas"},{"last_name":"Ponzoni","first_name":"Stefano","full_name":"Ponzoni, Stefano"},{"first_name":"Giovanni","last_name":"Zamborlini","full_name":"Zamborlini, Giovanni"},{"full_name":"Saraceno, Clara Jody","last_name":"Saraceno","first_name":"Clara Jody"},{"full_name":"Cinchetti, Mirko","first_name":"Mirko","last_name":"Cinchetti"}],"publication_identifier":{"issn":["2045-2322"]},"publication_status":"published","date_updated":"2025-11-04T07:48:50Z","intvolume":"        15","article_number":"3611","language":[{"iso":"eng"}],"doi":"10.1038/s41598-025-86660-1","issue":"1","publication":"Scientific Reports","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n          <jats:p>Time-resolved momentum microscopy is an emerging technique based on photoelectron spectroscopy for characterizing ultrafast electron dynamics and the out-of-equilibrium electronic structure of materials in the entire Brillouin zone with high efficiency. In this article, we introduce a setup for time-resolved momentum microscopy based on an energy-filtered momentum microscope coupled to a custom-made high-harmonic generation photon source driven by a multi-100 kHz commercial Yb-ultrafast laser that delivers fs pulses in the extreme ultraviolet range. The laser setup includes a nonlinear pulse compression stage employing spectral broadening in a Herriott-type bulk-based multi-pass cell. This element allows flexible tuning of the driving pulse duration, providing a versatile time-resolved momentum microscopy setup featuring two operational modes designed to enhance either the energy or time resolution. We show the capabilities of the system by tracing ultrafast electron dynamics in the conduction band valleys of a bulk crystal of the 2D semiconductor WS<jats:sub>2</jats:sub>. Using uncompressed driving laser pulses, we demonstrate an energy resolution better than (107 ± 2) meV, while compressed pulses lead to a time resolution better than (48.8 ± 17) fs.</jats:p>","lang":"eng"}],"date_created":"2025-11-04T07:47:28Z","type":"journal_article"},{"citation":{"mla":"Nitschke, Jonah Elias, et al. “Tracing the Ultrafast Buildup and Decay of D-d Transitions in FePS3.” <i>Newton</i>, vol. 1, no. 2, 100019, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.newton.2025.100019\">10.1016/j.newton.2025.100019</a>.","ama":"Nitschke JE, Sternemann L, Gutnikov M, et al. Tracing the ultrafast buildup and decay of d-d transitions in FePS3. <i>Newton</i>. 2025;1(2). doi:<a href=\"https://doi.org/10.1016/j.newton.2025.100019\">10.1016/j.newton.2025.100019</a>","bibtex":"@article{Nitschke_Sternemann_Gutnikov_Schiller_Coronado_Omar_Zamborlini_Saraceno_Stupar_Ruiz_et al._2025, title={Tracing the ultrafast buildup and decay of d-d transitions in FePS3}, volume={1}, DOI={<a href=\"https://doi.org/10.1016/j.newton.2025.100019\">10.1016/j.newton.2025.100019</a>}, number={2100019}, journal={Newton}, publisher={Elsevier BV}, author={Nitschke, Jonah Elias and Sternemann, Lasse and Gutnikov, Michael and Schiller, Karl and Coronado, Eugenio and Omar, Alan and Zamborlini, Giovanni and Saraceno, Clara and Stupar, Matija and Ruiz, Alberto M. and et al.}, year={2025} }","apa":"Nitschke, J. E., Sternemann, L., Gutnikov, M., Schiller, K., Coronado, E., Omar, A., Zamborlini, G., Saraceno, C., Stupar, M., Ruiz, A. M., Esteras, D. L., Baldoví, J. J., Anders, F., &#38; Cinchetti, M. (2025). Tracing the ultrafast buildup and decay of d-d transitions in FePS3. <i>Newton</i>, <i>1</i>(2), Article 100019. <a href=\"https://doi.org/10.1016/j.newton.2025.100019\">https://doi.org/10.1016/j.newton.2025.100019</a>","ieee":"J. E. Nitschke <i>et al.</i>, “Tracing the ultrafast buildup and decay of d-d transitions in FePS3,” <i>Newton</i>, vol. 1, no. 2, Art. no. 100019, 2025, doi: <a href=\"https://doi.org/10.1016/j.newton.2025.100019\">10.1016/j.newton.2025.100019</a>.","chicago":"Nitschke, Jonah Elias, Lasse Sternemann, Michael Gutnikov, Karl Schiller, Eugenio Coronado, Alan Omar, Giovanni Zamborlini, et al. “Tracing the Ultrafast Buildup and Decay of D-d Transitions in FePS3.” <i>Newton</i> 1, no. 2 (2025). <a href=\"https://doi.org/10.1016/j.newton.2025.100019\">https://doi.org/10.1016/j.newton.2025.100019</a>.","short":"J.E. Nitschke, L. Sternemann, M. Gutnikov, K. Schiller, E. Coronado, A. Omar, G. Zamborlini, C. Saraceno, M. Stupar, A.M. Ruiz, D.L. Esteras, J.J. Baldoví, F. Anders, M. Cinchetti, Newton 1 (2025)."},"project":[{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"name":"TRR 142 - Project Area A","_id":"54"},{"name":"TRR 142; TP A08: Nichtlineare Kopplung von Zwischenschicht-Exzitonen in van der Waals-Heterostrukturen an plasmonische und dielektrische Nanokavitäten","_id":"65"}],"_id":"62059","publisher":"Elsevier BV","user_id":"30525","volume":1,"status":"public","date_created":"2025-11-04T07:49:08Z","type":"journal_article","publication":"Newton","issue":"2","article_number":"100019","language":[{"iso":"eng"}],"doi":"10.1016/j.newton.2025.100019","title":"Tracing the ultrafast buildup and decay of d-d transitions in FePS3","year":"2025","author":[{"full_name":"Nitschke, Jonah Elias","first_name":"Jonah Elias","last_name":"Nitschke"},{"first_name":"Lasse","last_name":"Sternemann","full_name":"Sternemann, Lasse"},{"full_name":"Gutnikov, Michael","last_name":"Gutnikov","first_name":"Michael"},{"full_name":"Schiller, Karl","last_name":"Schiller","first_name":"Karl"},{"last_name":"Coronado","first_name":"Eugenio","full_name":"Coronado, Eugenio"},{"full_name":"Omar, Alan","last_name":"Omar","first_name":"Alan"},{"first_name":"Giovanni","last_name":"Zamborlini","full_name":"Zamborlini, Giovanni"},{"last_name":"Saraceno","first_name":"Clara","full_name":"Saraceno, Clara"},{"last_name":"Stupar","first_name":"Matija","full_name":"Stupar, Matija"},{"last_name":"Ruiz","first_name":"Alberto M.","full_name":"Ruiz, Alberto M."},{"full_name":"Esteras, Dorye L.","last_name":"Esteras","first_name":"Dorye L."},{"full_name":"Baldoví, José J.","last_name":"Baldoví","first_name":"José J."},{"full_name":"Anders, Frithjof","last_name":"Anders","first_name":"Frithjof"},{"last_name":"Cinchetti","first_name":"Mirko","full_name":"Cinchetti, Mirko"}],"publication_identifier":{"issn":["2950-6360"]},"date_updated":"2025-11-04T07:49:39Z","publication_status":"published","intvolume":"         1"},{"issue":"3","publication":"Physical Review Research","abstract":[{"lang":"eng","text":"<jats:p>In this paper, we theoretically study the spectral and temporal properties of pulsed spontaneous parametric down-conversion (SPDC) generated in lossy waveguides. Our theoretical approach is based on the formalism of Gaussian states and the Langevin equation, which is elaborated for weak parametric down-conversion and photon-number-unresolved click detection. Using the example of frequency-degenerate type-II SPDC generated under the pump-idler group-velocity-matching condition, we show how the joint-spectral intensity, mode structure, normalized second-order correlation function, and Hong-Ou-Mandel interference pattern depend on internal losses of the SPDC process. We found that the joint-spectral intensity is almost insensitive to internal losses, while the second-order correlation function shows a strong dependence on them, being different for the signal and idler beams in the presence of internal losses. Based on the sensitivity of the normalized second-order correlation function, we show how its measurement can be used to experimentally determine internal losses.</jats:p>"}],"date_created":"2025-12-05T09:33:36Z","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"288"},{"_id":"230"},{"_id":"623"},{"_id":"429"},{"_id":"35"}],"type":"journal_article","publication_identifier":{"issn":["2643-1564"]},"author":[{"full_name":"Kopylov, Denis A.","first_name":"Denis A.","last_name":"Kopylov"},{"last_name":"Stefszky","first_name":"Michael","full_name":"Stefszky, Michael","id":"42777"},{"id":"344","full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten"},{"full_name":"Silberhorn, Christine","first_name":"Christine","last_name":"Silberhorn","id":"26263"},{"full_name":"Sharapova, Polina R.","first_name":"Polina R.","last_name":"Sharapova","id":"60286"}],"title":"Spectral and temporal properties of type-II parametric down-conversion: The impact of losses during state generation","year":"2025","intvolume":"         7","publication_status":"published","date_updated":"2025-12-05T09:55:22Z","language":[{"iso":"eng"}],"article_number":"033122","doi":"10.1103/zp72-7qwl","citation":{"mla":"Kopylov, Denis A., et al. “Spectral and Temporal Properties of Type-II Parametric down-Conversion: The Impact of Losses during State Generation.” <i>Physical Review Research</i>, vol. 7, no. 3, 033122, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/zp72-7qwl\">10.1103/zp72-7qwl</a>.","ama":"Kopylov DA, Stefszky M, Meier T, Silberhorn C, Sharapova PR. Spectral and temporal properties of type-II parametric down-conversion: The impact of losses during state generation. <i>Physical Review Research</i>. 2025;7(3). doi:<a href=\"https://doi.org/10.1103/zp72-7qwl\">10.1103/zp72-7qwl</a>","bibtex":"@article{Kopylov_Stefszky_Meier_Silberhorn_Sharapova_2025, title={Spectral and temporal properties of type-II parametric down-conversion: The impact of losses during state generation}, volume={7}, DOI={<a href=\"https://doi.org/10.1103/zp72-7qwl\">10.1103/zp72-7qwl</a>}, number={3033122}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Kopylov, Denis A. and Stefszky, Michael and Meier, Torsten and Silberhorn, Christine and Sharapova, Polina R.}, year={2025} }","apa":"Kopylov, D. A., Stefszky, M., Meier, T., Silberhorn, C., &#38; Sharapova, P. R. (2025). Spectral and temporal properties of type-II parametric down-conversion: The impact of losses during state generation. <i>Physical Review Research</i>, <i>7</i>(3), Article 033122. <a href=\"https://doi.org/10.1103/zp72-7qwl\">https://doi.org/10.1103/zp72-7qwl</a>","ieee":"D. A. Kopylov, M. Stefszky, T. Meier, C. Silberhorn, and P. R. Sharapova, “Spectral and temporal properties of type-II parametric down-conversion: The impact of losses during state generation,” <i>Physical Review Research</i>, vol. 7, no. 3, Art. no. 033122, 2025, doi: <a href=\"https://doi.org/10.1103/zp72-7qwl\">10.1103/zp72-7qwl</a>.","short":"D.A. Kopylov, M. Stefszky, T. Meier, C. Silberhorn, P.R. Sharapova, Physical Review Research 7 (2025).","chicago":"Kopylov, Denis A., Michael Stefszky, Torsten Meier, Christine Silberhorn, and Polina R. Sharapova. “Spectral and Temporal Properties of Type-II Parametric down-Conversion: The Impact of Losses during State Generation.” <i>Physical Review Research</i> 7, no. 3 (2025). <a href=\"https://doi.org/10.1103/zp72-7qwl\">https://doi.org/10.1103/zp72-7qwl</a>."},"project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"},{"name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"_id":"56","name":"TRR 142 - Project Area C"},{"name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse","_id":"174"}],"status":"public","_id":"62911","publisher":"American Physical Society (APS)","volume":7,"user_id":"16199"},{"publication":"Surface Science","date_created":"2025-07-09T09:23:04Z","department":[{"_id":"15"},{"_id":"2"},{"_id":"230"},{"_id":"295"},{"_id":"790"},{"_id":"302"},{"_id":"429"},{"_id":"35"},{"_id":"170"},{"_id":"27"}],"type":"journal_article","author":[{"id":"58349","last_name":"Bocchini","orcid":"0000-0002-2134-3075","first_name":"Adriana","full_name":"Bocchini, Adriana"},{"last_name":"Kollmann","first_name":"S.","full_name":"Kollmann, S."},{"id":"171","full_name":"Gerstmann, Uwe","first_name":"Uwe","orcid":"0000-0002-4476-223X","last_name":"Gerstmann"},{"orcid":"0000-0002-2717-5076","first_name":"Wolf Gero","last_name":"Schmidt","full_name":"Schmidt, Wolf Gero","id":"468"},{"full_name":"Grundmeier, Guido","last_name":"Grundmeier","first_name":"Guido","id":"194"}],"publication_identifier":{"issn":["0039-6028"]},"year":"2025","title":"Phosphonic acid adsorption on <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si23.svg\" display=\"inline\" id=\"d1e564\"><mml:mi>α</mml:mi></mml:math>-Bi<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si24.svg\" display=\"inline\" id=\"d1e569\"><mml:msub><mml:mrow/><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math>O<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si25.svg\" display=\"inline\" id=\"d1e577\"><mml:msub><mml:mrow/><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:math> surfaces","intvolume":"       760","publication_status":"published","date_updated":"2025-12-05T13:34:10Z","language":[{"iso":"eng"}],"article_number":"122776","main_file_link":[{"url":"https://doi.org/10.1016/j.susc.2025.122776","open_access":"1"}],"doi":"10.1016/j.susc.2025.122776","citation":{"bibtex":"@article{Bocchini_Kollmann_Gerstmann_Schmidt_Grundmeier_2025, title={Phosphonic acid adsorption on &#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si23.svg\" display=\"inline\" id=\"d1e564\"&#62;&#60;mml:mi&#62;α&#60;/mml:mi&#62;&#60;/mml:math&#62;-Bi&#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si24.svg\" display=\"inline\" id=\"d1e569\"&#62;&#60;mml:msub&#62;&#60;mml:mrow/&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msub&#62;&#60;/mml:math&#62;O&#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si25.svg\" display=\"inline\" id=\"d1e577\"&#62;&#60;mml:msub&#62;&#60;mml:mrow/&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;3&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msub&#62;&#60;/mml:math&#62; surfaces}, volume={760}, DOI={<a href=\"https://doi.org/10.1016/j.susc.2025.122776\">10.1016/j.susc.2025.122776</a>}, number={122776}, journal={Surface Science}, publisher={Elsevier BV}, author={Bocchini, Adriana and Kollmann, S. and Gerstmann, Uwe and Schmidt, Wolf Gero and Grundmeier, Guido}, year={2025} }","ama":"Bocchini A, Kollmann S, Gerstmann U, Schmidt WG, Grundmeier G. Phosphonic acid adsorption on &#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si23.svg\" display=\"inline\" id=\"d1e564\"&#62;&#60;mml:mi&#62;α&#60;/mml:mi&#62;&#60;/mml:math&#62;-Bi&#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si24.svg\" display=\"inline\" id=\"d1e569\"&#62;&#60;mml:msub&#62;&#60;mml:mrow/&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msub&#62;&#60;/mml:math&#62;O&#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si25.svg\" display=\"inline\" id=\"d1e577\"&#62;&#60;mml:msub&#62;&#60;mml:mrow/&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;3&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msub&#62;&#60;/mml:math&#62; surfaces. <i>Surface Science</i>. 2025;760. doi:<a href=\"https://doi.org/10.1016/j.susc.2025.122776\">10.1016/j.susc.2025.122776</a>","mla":"Bocchini, Adriana, et al. “Phosphonic Acid Adsorption on &#60;mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\" Altimg=\"si23.Svg\" Display=\"inline\" Id=\"d1e564\"&#62;&#60;mml:Mi&#62;α&#60;/Mml:Mi&#62;&#60;/Mml:Math&#62;-Bi&#60;mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\" Altimg=\"si24.Svg\" Display=\"inline\" Id=\"d1e569\"&#62;&#60;mml:Msub&#62;&#60;mml:Mrow/&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;2&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msub&#62;&#60;/Mml:Math&#62;O&#60;mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\" Altimg=\"si25.Svg\" Display=\"inline\" Id=\"d1e577\"&#62;&#60;mml:Msub&#62;&#60;mml:Mrow/&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;3&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msub&#62;&#60;/Mml:Math&#62; Surfaces.” <i>Surface Science</i>, vol. 760, 122776, Elsevier BV, 2025, doi:<a href=\"https://doi.org/10.1016/j.susc.2025.122776\">10.1016/j.susc.2025.122776</a>.","short":"A. Bocchini, S. Kollmann, U. Gerstmann, W.G. Schmidt, G. Grundmeier, Surface Science 760 (2025).","chicago":"Bocchini, Adriana, S. Kollmann, Uwe Gerstmann, Wolf Gero Schmidt, and Guido Grundmeier. “Phosphonic Acid Adsorption on &#60;mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\" Altimg=\"si23.Svg\" Display=\"inline\" Id=\"d1e564\"&#62;&#60;mml:Mi&#62;α&#60;/Mml:Mi&#62;&#60;/Mml:Math&#62;-Bi&#60;mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\" Altimg=\"si24.Svg\" Display=\"inline\" Id=\"d1e569\"&#62;&#60;mml:Msub&#62;&#60;mml:Mrow/&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;2&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msub&#62;&#60;/Mml:Math&#62;O&#60;mml:Math Xmlns:Mml=\"http://Www.W3.Org/1998/Math/MathML\" Altimg=\"si25.Svg\" Display=\"inline\" Id=\"d1e577\"&#62;&#60;mml:Msub&#62;&#60;mml:Mrow/&#62;&#60;mml:Mrow&#62;&#60;mml:Mn&#62;3&#60;/Mml:Mn&#62;&#60;/Mml:Mrow&#62;&#60;/Mml:Msub&#62;&#60;/Mml:Math&#62; Surfaces.” <i>Surface Science</i> 760 (2025). <a href=\"https://doi.org/10.1016/j.susc.2025.122776\">https://doi.org/10.1016/j.susc.2025.122776</a>.","ieee":"A. Bocchini, S. Kollmann, U. Gerstmann, W. G. Schmidt, and G. Grundmeier, “Phosphonic acid adsorption on &#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si23.svg\" display=\"inline\" id=\"d1e564\"&#62;&#60;mml:mi&#62;α&#60;/mml:mi&#62;&#60;/mml:math&#62;-Bi&#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si24.svg\" display=\"inline\" id=\"d1e569\"&#62;&#60;mml:msub&#62;&#60;mml:mrow/&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msub&#62;&#60;/mml:math&#62;O&#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si25.svg\" display=\"inline\" id=\"d1e577\"&#62;&#60;mml:msub&#62;&#60;mml:mrow/&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;3&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msub&#62;&#60;/mml:math&#62; surfaces,” <i>Surface Science</i>, vol. 760, Art. no. 122776, 2025, doi: <a href=\"https://doi.org/10.1016/j.susc.2025.122776\">10.1016/j.susc.2025.122776</a>.","apa":"Bocchini, A., Kollmann, S., Gerstmann, U., Schmidt, W. G., &#38; Grundmeier, G. (2025). Phosphonic acid adsorption on &#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si23.svg\" display=\"inline\" id=\"d1e564\"&#62;&#60;mml:mi&#62;α&#60;/mml:mi&#62;&#60;/mml:math&#62;-Bi&#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si24.svg\" display=\"inline\" id=\"d1e569\"&#62;&#60;mml:msub&#62;&#60;mml:mrow/&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;2&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msub&#62;&#60;/mml:math&#62;O&#60;mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si25.svg\" display=\"inline\" id=\"d1e577\"&#62;&#60;mml:msub&#62;&#60;mml:mrow/&#62;&#60;mml:mrow&#62;&#60;mml:mn&#62;3&#60;/mml:mn&#62;&#60;/mml:mrow&#62;&#60;/mml:msub&#62;&#60;/mml:math&#62; surfaces. <i>Surface Science</i>, <i>760</i>, Article 122776. <a href=\"https://doi.org/10.1016/j.susc.2025.122776\">https://doi.org/10.1016/j.susc.2025.122776</a>"},"project":[{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"_id":"55","name":"TRR 142 - B: TRR 142 - Project Area B"},{"_id":"54","name":"TRR 142 - A: TRR 142 - Project Area A"},{"_id":"168","name":"TRR 142 - B07: TRR 142 - Polaronen-Einfluss auf die optischen Eigenschaften von Lithiumniobat (B07*)"},{"name":"TRR 142 - A11: TRR 142 - Subproject A11","_id":"166"}],"oa":"1","status":"public","publisher":"Elsevier BV","_id":"60568","volume":760,"user_id":"16199"},{"doi":"10.1088/1742-6596/3027/1/012001","article_number":"012001","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2025-12-05T13:32:45Z","intvolume":"      3027","title":"Finite-size and relativistic effects onto hyperfine interaction of muonic hydrogen","year":"2025","publication_identifier":{"issn":["1742-6588","1742-6596"]},"author":[{"last_name":"Franzke","first_name":"Katharina L.","full_name":"Franzke, Katharina L."},{"first_name":"Wolf Gero","orcid":"0000-0002-2717-5076","last_name":"Schmidt","full_name":"Schmidt, Wolf Gero","id":"468"},{"id":"171","first_name":"Uwe","last_name":"Gerstmann","orcid":"0000-0002-4476-223X","full_name":"Gerstmann, Uwe"}],"type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"295"},{"_id":"35"},{"_id":"230"},{"_id":"429"},{"_id":"27"},{"_id":"790"}],"date_created":"2025-09-18T11:17:05Z","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>Muonic hydrogen is an exotic atom where a muon instead of an electron is bound to a proton. The comparably high mass of the muon (≈ 207 · <jats:italic>m<jats:sub>e</jats:sub>\r\n                  </jats:italic>) has two important effects, (i) the reduced mass of the system becomes more important, and (ii) the muon is localized much closer to the nucleus. Thus, muonic hydrogen is not only excellently suitable for evaluating highly precise quantum electrodynamic (QED) calculations, but may also be used for assessing new approaches including finite nuclear size (FNS) effects to evaluate the proton structure and improve calculation schemes for the hyperfine splittings of many-particle systems, as e.g. to be implemented in density functional theory (DFT) software packages. Here, starting from Dirac’s equation we calculate the relativistic hyperfine splitting of the ground state and several excited states of muonic hydrogen analytically for different charge and magnetization models. The FNS related hyperfine shifts are compared with the differences between QED calculations and experimental measurements. This comparison also allows to unravel the role of the reduced mass, which is on one hand crucial in case of muonic atoms, but on the other hand is by no means well defined in relativistic quantum mechanics.</jats:p>","lang":"eng"}],"publication":"Journal of Physics: Conference Series","issue":"1","user_id":"16199","volume":3027,"_id":"61353","publisher":"IOP Publishing","status":"public","project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"_id":"54","name":"TRR 142 - Project Area A"},{"name":"TRR 142 - Subproject A11","_id":"166"}],"citation":{"apa":"Franzke, K. L., Schmidt, W. G., &#38; Gerstmann, U. (2025). Finite-size and relativistic effects onto hyperfine interaction of muonic hydrogen. <i>Journal of Physics: Conference Series</i>, <i>3027</i>(1), Article 012001. <a href=\"https://doi.org/10.1088/1742-6596/3027/1/012001\">https://doi.org/10.1088/1742-6596/3027/1/012001</a>","ieee":"K. L. Franzke, W. G. Schmidt, and U. Gerstmann, “Finite-size and relativistic effects onto hyperfine interaction of muonic hydrogen,” <i>Journal of Physics: Conference Series</i>, vol. 3027, no. 1, Art. no. 012001, 2025, doi: <a href=\"https://doi.org/10.1088/1742-6596/3027/1/012001\">10.1088/1742-6596/3027/1/012001</a>.","short":"K.L. Franzke, W.G. Schmidt, U. Gerstmann, Journal of Physics: Conference Series 3027 (2025).","chicago":"Franzke, Katharina L., Wolf Gero Schmidt, and Uwe Gerstmann. “Finite-Size and Relativistic Effects onto Hyperfine Interaction of Muonic Hydrogen.” <i>Journal of Physics: Conference Series</i> 3027, no. 1 (2025). <a href=\"https://doi.org/10.1088/1742-6596/3027/1/012001\">https://doi.org/10.1088/1742-6596/3027/1/012001</a>.","mla":"Franzke, Katharina L., et al. “Finite-Size and Relativistic Effects onto Hyperfine Interaction of Muonic Hydrogen.” <i>Journal of Physics: Conference Series</i>, vol. 3027, no. 1, 012001, IOP Publishing, 2025, doi:<a href=\"https://doi.org/10.1088/1742-6596/3027/1/012001\">10.1088/1742-6596/3027/1/012001</a>.","ama":"Franzke KL, Schmidt WG, Gerstmann U. Finite-size and relativistic effects onto hyperfine interaction of muonic hydrogen. <i>Journal of Physics: Conference Series</i>. 2025;3027(1). doi:<a href=\"https://doi.org/10.1088/1742-6596/3027/1/012001\">10.1088/1742-6596/3027/1/012001</a>","bibtex":"@article{Franzke_Schmidt_Gerstmann_2025, title={Finite-size and relativistic effects onto hyperfine interaction of muonic hydrogen}, volume={3027}, DOI={<a href=\"https://doi.org/10.1088/1742-6596/3027/1/012001\">10.1088/1742-6596/3027/1/012001</a>}, number={1012001}, journal={Journal of Physics: Conference Series}, publisher={IOP Publishing}, author={Franzke, Katharina L. and Schmidt, Wolf Gero and Gerstmann, Uwe}, year={2025} }"}}]
