[{"date_updated":"2026-03-10T15:41:18Z","status":"public","title":"Gain-induced spectral non-degeneracy in type-II parametric down-conversion","year":"2026","author":[{"full_name":"Taheri, Behnood","first_name":"Behnood","last_name":"Taheri"},{"id":"98502","last_name":"Kopylov","first_name":"Denis","full_name":"Kopylov, Denis"},{"id":"48077","orcid":"0000-0002-6331-9348","last_name":"Hammer","first_name":"Manfred","full_name":"Hammer, Manfred"},{"orcid":"0000-0001-8864-2072","last_name":"Meier","first_name":"Torsten","full_name":"Meier, Torsten","id":"344"},{"first_name":"Jens","orcid":"0000-0001-7059-9862","last_name":"Förstner","full_name":"Förstner, Jens","id":"158"},{"id":"60286","full_name":"Sharapova, Polina R.","last_name":"Sharapova","first_name":"Polina R."}],"doi":"10.48550/ARXIV.2603.01656","user_id":"16199","_id":"64877","language":[{"iso":"eng"}],"project":[{"name":"TRR 142 - Polaronen-Einfluss auf die optischen Eigenschaften von Lithiumniobat (B07*)","_id":"168"},{"_id":"56","name":"TRR 142 - Project Area C"},{"_id":"174","name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse"}],"publication":"arXiv","citation":{"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).","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>","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>.","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>","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} }","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>."},"type":"journal_article","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"34"},{"_id":"61"},{"_id":"230"},{"_id":"623"},{"_id":"429"}],"date_created":"2026-03-10T15:37:22Z"},{"date_created":"2026-05-07T07:00:08Z","type":"journal_article","department":[{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"706"},{"_id":"429"}],"publication":"Physical Review Applied","issue":"5","abstract":[{"lang":"eng","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>"}],"article_number":"054011","language":[{"iso":"eng"}],"doi":"10.1103/x99y-2sms","year":"2026","title":"Resource-efficient universal photonic processors based on time-multiplexed hybrid architectures","author":[{"full_name":"Lammers, Jonas","first_name":"Jonas","last_name":"Lammers"},{"last_name":"Ares","first_name":"Laura","full_name":"Ares, Laura"},{"id":"88928","last_name":"Pegoraro","first_name":"Federico","full_name":"Pegoraro, Federico"},{"last_name":"Held","first_name":"Philip","full_name":"Held, Philip","id":"68236"},{"full_name":"Brecht, Benjamin","first_name":"Benjamin","orcid":"0000-0003-4140-0556 ","last_name":"Brecht","id":"27150"},{"full_name":"Sperling, Jan","orcid":"0000-0002-5844-3205","first_name":"Jan","last_name":"Sperling","id":"75127"},{"id":"26263","full_name":"Silberhorn, Christine","first_name":"Christine","last_name":"Silberhorn"}],"publication_identifier":{"issn":["2331-7019"]},"date_updated":"2026-05-07T07:01:09Z","publication_status":"published","intvolume":"        25","citation":{"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>","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>.","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>.","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>.","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>","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} }"},"_id":"65575","publisher":"American Physical Society (APS)","user_id":"75127","volume":25,"status":"public"},{"type":"journal_article","department":[{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"706"},{"_id":"429"}],"date_created":"2026-05-07T06:57:10Z","publication":"Physical Review A","issue":"5","doi":"10.1103/vy93-dnc8","article_number":"052413","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2026-05-07T06:58:39Z","intvolume":"       113","year":"2026","title":"Entangling power of nonentangling channels","publication_identifier":{"issn":["2469-9926","2469-9934"]},"author":[{"full_name":"Pinske, Julien","last_name":"Pinske","first_name":"Julien"},{"id":"75127","full_name":"Sperling, Jan","orcid":"0000-0002-5844-3205","first_name":"Jan","last_name":"Sperling"},{"first_name":"Klaus","last_name":"Mølmer","full_name":"Mølmer, Klaus"}],"citation":{"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>.","short":"J. Pinske, J. Sperling, K. Mølmer, Physical Review A 113 (2026).","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>","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} }","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>."},"user_id":"75127","volume":113,"_id":"65574","publisher":"American Physical Society (APS)","status":"public"},{"citation":{"short":"C. Offen, B.E. Wembe Moafo, L. Ares, J. Sperling, S. Ober-Blöbaum, Journal of Physics A: Mathematical and Theoretical 59 (2026).","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>.","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>.","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>","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} }","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>","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>."},"publisher":"IOP Publishing","_id":"65777","volume":59,"user_id":"75127","status":"public","date_created":"2026-06-05T07:37:43Z","department":[{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"706"},{"_id":"429"}],"type":"journal_article","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"}],"language":[{"iso":"eng"}],"article_number":"225303","doi":"10.1088/1751-8121/ae6d51","publication_identifier":{"issn":["1751-8113","1751-8121"]},"author":[{"full_name":"Offen, Christian","last_name":"Offen","first_name":"Christian"},{"id":"95394","full_name":"Wembe Moafo, Boris Edgar","last_name":"Wembe Moafo","orcid":"0000-0002-6085-8071","first_name":"Boris Edgar"},{"last_name":"Ares","first_name":"Laura","full_name":"Ares, Laura"},{"orcid":"0000-0002-5844-3205","first_name":"Jan","last_name":"Sperling","full_name":"Sperling, Jan","id":"75127"},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494"}],"year":"2026","title":"Numerical approaches to entangling dynamics from variational principles","intvolume":"        59","date_updated":"2026-06-05T07:38:44Z","publication_status":"published"},{"article_number":"L032018","language":[{"iso":"eng"}],"doi":"10.1103/mflc-2mzq","title":"Quantum speedup from nonclassical polarization","year":"2026","publication_identifier":{"issn":["2643-1564"]},"author":[{"full_name":"Aßbrock, Tim","last_name":"Aßbrock","first_name":"Tim"},{"id":"75127","first_name":"Jan","orcid":"0000-0002-5844-3205","last_name":"Sperling","full_name":"Sperling, Jan"},{"full_name":"Ares, Laura","first_name":"Laura","last_name":"Ares"}],"date_updated":"2026-08-03T16:28:48Z","publication_status":"published","intvolume":"         8","date_created":"2026-08-03T16:26:49Z","type":"journal_article","department":[{"_id":"623"},{"_id":"15"},{"_id":"170"},{"_id":"706"}],"issue":"3","publication":"Physical Review Research","abstract":[{"lang":"eng","text":"<jats:p>\r\n                    We develop a framework for identifying nonclassical speedups in systems with polarization, likewise spin degrees of freedom. By confining the dynamics to the manifold of angular momentum coherent states, which act as the classical reference in this case, we compute the speed limit that bounds the rate of change of the state achievable without generating quantum coherence. A comparison with the unrestricted quantum speed limit enables the quantitative identification of speedups arising from polarization nonclassicality. We apply this framework to the cross-Kerr interaction, demonstrating a persistent speedup scaling as\r\n                    <a:math xmlns:a=\"http://www.w3.org/1998/Math/MathML\">\r\n                      <a:mrow>\r\n                        <a:mi mathvariant=\"script\">O</a:mi>\r\n                        <a:mo>(</a:mo>\r\n                        <a:msqrt>\r\n                          <a:mi>N</a:mi>\r\n                        </a:msqrt>\r\n                        <a:mo>)</a:mo>\r\n                      </a:mrow>\r\n                    </a:math>\r\n                    with the photon number\r\n                    <c:math xmlns:c=\"http://www.w3.org/1998/Math/MathML\">\r\n                      <c:mi>N</c:mi>\r\n                    </c:math>\r\n                    , with a parity effect in favor of even photon numbers. The results establish polarization nonclassicality as a genuine dynamical resource, linking quantum coherence to quantum-enhanced evolution speeds in nonlinear photonic systems.\r\n                  </jats:p>"}],"_id":"66640","publisher":"American Physical Society (APS)","user_id":"75127","volume":8,"status":"public","citation":{"ieee":"T. Aßbrock, J. Sperling, and L. Ares, “Quantum speedup from nonclassical polarization,” <i>Physical Review Research</i>, vol. 8, no. 3, Art. no. L032018, 2026, doi: <a href=\"https://doi.org/10.1103/mflc-2mzq\">10.1103/mflc-2mzq</a>.","apa":"Aßbrock, T., Sperling, J., &#38; Ares, L. (2026). Quantum speedup from nonclassical polarization. <i>Physical Review Research</i>, <i>8</i>(3), Article L032018. <a href=\"https://doi.org/10.1103/mflc-2mzq\">https://doi.org/10.1103/mflc-2mzq</a>","chicago":"Aßbrock, Tim, Jan Sperling, and Laura Ares. “Quantum Speedup from Nonclassical Polarization.” <i>Physical Review Research</i> 8, no. 3 (2026). <a href=\"https://doi.org/10.1103/mflc-2mzq\">https://doi.org/10.1103/mflc-2mzq</a>.","short":"T. Aßbrock, J. Sperling, L. Ares, Physical Review Research 8 (2026).","mla":"Aßbrock, Tim, et al. “Quantum Speedup from Nonclassical Polarization.” <i>Physical Review Research</i>, vol. 8, no. 3, L032018, American Physical Society (APS), 2026, doi:<a href=\"https://doi.org/10.1103/mflc-2mzq\">10.1103/mflc-2mzq</a>.","bibtex":"@article{Aßbrock_Sperling_Ares_2026, title={Quantum speedup from nonclassical polarization}, volume={8}, DOI={<a href=\"https://doi.org/10.1103/mflc-2mzq\">10.1103/mflc-2mzq</a>}, number={3L032018}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Aßbrock, Tim and Sperling, Jan and Ares, Laura}, year={2026} }","ama":"Aßbrock T, Sperling J, Ares L. Quantum speedup from nonclassical polarization. <i>Physical Review Research</i>. 2026;8(3). doi:<a href=\"https://doi.org/10.1103/mflc-2mzq\">10.1103/mflc-2mzq</a>"}},{"article_type":"original","intvolume":"         8","publication_status":"published","date_updated":"2026-08-12T14:29:44Z","publication_identifier":{"issn":["2643-1564"]},"author":[{"full_name":"Scharwald, Dennis","orcid":"0009-0007-5654-5412","last_name":"Scharwald","first_name":"Dennis","id":"55907"},{"id":"60286","full_name":"Sharapova, Polina","last_name":"Sharapova","first_name":"Polina"}],"title":"Characterization of spatial Schmidt modes in high-gain SU(1,1) interferometers","year":"2026","doi":"10.1103/ph64-ts39","language":[{"iso":"eng"}],"article_number":"033139","main_file_link":[{"open_access":"1","url":"https://journals.aps.org/prresearch/pdf/10.1103/ph64-ts39"}],"abstract":[{"lang":"eng","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."}],"publication":"Physical Review Research","issue":"3","department":[{"_id":"975"},{"_id":"15"},{"_id":"623"},{"_id":"569"},{"_id":"170"},{"_id":"35"},{"_id":"429"},{"_id":"34"},{"_id":"502"}],"type":"journal_article","date_created":"2026-08-05T11:51:21Z","status":"public","volume":8,"user_id":"55907","publisher":"American Physical Society (APS)","_id":"66665","project":[{"name":"TRR 142 - Project Area C","_id":"56"},{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"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"}],"citation":{"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>","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>.","short":"D. Scharwald, P. Sharapova, Physical Review Research 8 (2026).","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>.","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>"},"oa":"1"},{"department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"35"},{"_id":"429"}],"type":"journal_article","date_created":"2026-01-26T15:48:54Z","abstract":[{"lang":"eng","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."}],"issue":"1","publication":"APL Photonics","doi":"10.1063/5.0229802","language":[{"iso":"eng"}],"article_number":"016112","main_file_link":[{"open_access":"1","url":"https://pubs.aip.org/aip/app/article-pdf/doi/10.1063/5.0229802/20352749/016112_1_5.0229802.pdf"}],"article_type":"original","intvolume":"        10","publication_status":"published","date_updated":"2026-02-01T13:19:20Z","author":[{"id":"55907","first_name":"Dennis","orcid":"0009-0007-5654-5412","last_name":"Scharwald","full_name":"Scharwald, Dennis"},{"last_name":"Gehse","first_name":"Lucas","full_name":"Gehse, Lucas"},{"full_name":"Sharapova, Polina","last_name":"Sharapova","first_name":"Polina","id":"60286"}],"publication_identifier":{"issn":["2378-0967"]},"title":"Schmidt modes carrying orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian beams","year":"2025","oa":"1","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"},{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"citation":{"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>.","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>","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).","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>.","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} }","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>"},"volume":10,"user_id":"55907","publisher":"AIP Publishing","_id":"63744","status":"public"},{"oa":"1","citation":{"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>","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} }","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>","short":"I. Barakat, M. Kalash, D. Scharwald, P. Sharapova, N. Lindlein, M. Chekhova, Optica Quantum 3 (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>."},"project":[{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"_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"},{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"publisher":"Optica Publishing Group","_id":"63745","user_id":"55907","volume":3,"status":"public","date_created":"2026-01-26T15:57:13Z","type":"journal_article","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"35"},{"_id":"429"}],"publication":"Optica Quantum","issue":"1","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."}],"main_file_link":[{"open_access":"1","url":"https://opg.optica.org/opticaq/viewmedia.cfm?uri=opticaq-3-1-36&seq=0"}],"article_number":"36","language":[{"iso":"eng"}],"doi":"10.1364/opticaq.524682","title":"Simultaneous measurement of multimode squeezing through multimode phase-sensitive amplification","year":"2025","publication_identifier":{"issn":["2837-6714"]},"author":[{"full_name":"Barakat, Ismail","last_name":"Barakat","first_name":"Ismail"},{"full_name":"Kalash, Mahmoud","last_name":"Kalash","first_name":"Mahmoud"},{"first_name":"Dennis","orcid":"0009-0007-5654-5412","last_name":"Scharwald","full_name":"Scharwald, Dennis","id":"55907"},{"id":"60286","first_name":"Polina","last_name":"Sharapova","full_name":"Sharapova, Polina"},{"first_name":"Norbert","last_name":"Lindlein","full_name":"Lindlein, Norbert"},{"first_name":"Maria","last_name":"Chekhova","full_name":"Chekhova, Maria"}],"date_updated":"2026-02-10T22:44:44Z","publication_status":"published","intvolume":"         3","article_type":"original"},{"issue":"3","publication":"Physical Review A","date_created":"2025-09-12T10:37:34Z","type":"journal_article","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"706"},{"_id":"35"},{"_id":"230"},{"_id":"623"},{"_id":"429"}],"title":"Entanglement between dependent degrees of freedom: Quasiparticle correlations","year":"2025","publication_identifier":{"issn":["2469-9926","2469-9934"]},"author":[{"id":"63631","last_name":"Barkhausen","first_name":"Franziska","full_name":"Barkhausen, Franziska"},{"full_name":"Ares Santos, Laura","last_name":"Ares Santos","first_name":"Laura"},{"id":"27271","full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","first_name":"Stefan","last_name":"Schumacher"},{"id":"75127","first_name":"Jan","orcid":"0000-0002-5844-3205","last_name":"Sperling","full_name":"Sperling, Jan"}],"date_updated":"2025-09-12T10:42:16Z","publication_status":"published","intvolume":"       111","article_number":"032404","language":[{"iso":"eng"}],"doi":"10.1103/physreva.111.032404","citation":{"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>.","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>","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>","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>."},"project":[{"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 - Project Area C","_id":"56"},{"name":"TRR 142; TP A04: Nichtlineare Quantenprozesstomographie und Photonik mit Polaritonen in Mikrokavitäten","_id":"61"},{"name":"TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen Systemen: Eine theoretische Analyse","_id":"174"},{"name":"PhoQC: Photonisches Quantencomputing","_id":"266"}],"status":"public","publisher":"American Physical Society (APS)","_id":"61245","user_id":"16199","volume":111},{"citation":{"ama":"Köcher N, Rose H, Bharadwaj SS, Schumacher J, Schumacher S. Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm. <i>Scientific Reports</i>. 2025;15(1). doi:<a href=\"https://doi.org/10.1038/s41598-025-05660-3\">10.1038/s41598-025-05660-3</a>","bibtex":"@article{Köcher_Rose_Bharadwaj_Schumacher_Schumacher_2025, title={Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm}, volume={15}, DOI={<a href=\"https://doi.org/10.1038/s41598-025-05660-3\">10.1038/s41598-025-05660-3</a>}, number={123478}, journal={Scientific Reports}, publisher={Springer Science and Business Media LLC}, author={Köcher, Nikolas and Rose, Hendrik and Bharadwaj, Sachin S. and Schumacher, Jörg and Schumacher, Stefan}, year={2025} }","mla":"Köcher, Nikolas, et al. “Numerical Solution of Nonlinear Schrödinger Equation by a Hybrid Pseudospectral-Variational Quantum Algorithm.” <i>Scientific Reports</i>, vol. 15, no. 1, 23478, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1038/s41598-025-05660-3\">10.1038/s41598-025-05660-3</a>.","short":"N. Köcher, H. Rose, S.S. Bharadwaj, J. Schumacher, S. Schumacher, Scientific Reports 15 (2025).","chicago":"Köcher, Nikolas, Hendrik Rose, Sachin S. Bharadwaj, Jörg Schumacher, and Stefan Schumacher. “Numerical Solution of Nonlinear Schrödinger Equation by a Hybrid Pseudospectral-Variational Quantum Algorithm.” <i>Scientific Reports</i> 15, no. 1 (2025). <a href=\"https://doi.org/10.1038/s41598-025-05660-3\">https://doi.org/10.1038/s41598-025-05660-3</a>.","apa":"Köcher, N., Rose, H., Bharadwaj, S. S., Schumacher, J., &#38; Schumacher, S. (2025). Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm. <i>Scientific Reports</i>, <i>15</i>(1), Article 23478. <a href=\"https://doi.org/10.1038/s41598-025-05660-3\">https://doi.org/10.1038/s41598-025-05660-3</a>","ieee":"N. Köcher, H. Rose, S. S. Bharadwaj, J. Schumacher, and S. Schumacher, “Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm,” <i>Scientific Reports</i>, vol. 15, no. 1, Art. no. 23478, 2025, doi: <a href=\"https://doi.org/10.1038/s41598-025-05660-3\">10.1038/s41598-025-05660-3</a>."},"project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"name":"Hochleistungsrechner Noctua in Paderborn","_id":"445"}],"status":"public","_id":"61246","publisher":"Springer Science and Business Media LLC","volume":15,"user_id":"16199","publication":"Scientific Reports","issue":"1","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n          <jats:p>The time-dependent one-dimensional nonlinear Schrödinger equation (NLSE) is solved numerically by a hybrid pseudospectral-variational quantum algorithm that connects a pseudospectral step for the Hamiltonian term with a variational step for the nonlinear term. The Hamiltonian term is treated as an integrating factor by forward and backward Fourier transforms, which are here carried out classically. This split allows us to avoid higher-order time integration schemes, to apply a first-order explicit time stepping for the remaining nonlinear NLSE term in a variational algorithm block, and thus to avoid numerical instabilities. We demonstrate that the analytical solution is reproduced with a small root mean square error for a long time interval over which a nonlinear soliton propagates significantly forward in space while keeping its shape. We analyze the accuracy and complexity of the quantum algorithm, the expressibility of the ansatz circuit and compare it with classical approaches. Furthermore, we investigate the influence of algorithm parameters on the accuracy of the results, including the temporal step width and the depth of the quantum circuit.</jats:p>"}],"date_created":"2025-09-12T10:43:29Z","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"35"},{"_id":"230"},{"_id":"27"}],"type":"journal_article","publication_identifier":{"issn":["2045-2322"]},"author":[{"full_name":"Köcher, Nikolas","first_name":"Nikolas","last_name":"Köcher","id":"79191"},{"full_name":"Rose, Hendrik","first_name":"Hendrik","last_name":"Rose","orcid":"0000-0002-3079-5428","id":"55958"},{"last_name":"Bharadwaj","first_name":"Sachin S.","full_name":"Bharadwaj, Sachin S."},{"first_name":"Jörg","last_name":"Schumacher","full_name":"Schumacher, Jörg"},{"id":"27271","last_name":"Schumacher","first_name":"Stefan","orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan"}],"title":"Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm","year":"2025","intvolume":"        15","publication_status":"published","date_updated":"2025-09-12T10:57:22Z","language":[{"iso":"eng"}],"article_number":"23478","doi":"10.1038/s41598-025-05660-3"},{"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"citation":{"short":"Q. Ai, J. Wingenbach, X. Yang, J. Wei, Z. Hatzopoulos, P.G. Savvidis, S. Schumacher, X. Ma, T. Gao, Physical Review Applied 23 (2025).","chicago":"Ai, Qiang, Jan Wingenbach, Xinmiao Yang, Jing Wei, Zaharias Hatzopoulos, Pavlos G. Savvidis, Stefan Schumacher, Xuekai Ma, and Tingge Gao. “Optically and Remotely Controlling Localization of Exciton-Polariton Condensates in a Potential Lattice.” <i>Physical Review Applied</i> 23, no. 2 (2025). <a href=\"https://doi.org/10.1103/physrevapplied.23.024029\">https://doi.org/10.1103/physrevapplied.23.024029</a>.","ieee":"Q. Ai <i>et al.</i>, “Optically and remotely controlling localization of exciton-polariton condensates in a potential lattice,” <i>Physical Review Applied</i>, vol. 23, no. 2, Art. no. 024029, 2025, doi: <a href=\"https://doi.org/10.1103/physrevapplied.23.024029\">10.1103/physrevapplied.23.024029</a>.","apa":"Ai, Q., Wingenbach, J., Yang, X., Wei, J., Hatzopoulos, Z., Savvidis, P. G., Schumacher, S., Ma, X., &#38; Gao, T. (2025). Optically and remotely controlling localization of exciton-polariton condensates in a potential lattice. <i>Physical Review Applied</i>, <i>23</i>(2), Article 024029. <a href=\"https://doi.org/10.1103/physrevapplied.23.024029\">https://doi.org/10.1103/physrevapplied.23.024029</a>","bibtex":"@article{Ai_Wingenbach_Yang_Wei_Hatzopoulos_Savvidis_Schumacher_Ma_Gao_2025, title={Optically and remotely controlling localization of exciton-polariton condensates in a potential lattice}, volume={23}, DOI={<a href=\"https://doi.org/10.1103/physrevapplied.23.024029\">10.1103/physrevapplied.23.024029</a>}, number={2024029}, journal={Physical Review Applied}, publisher={American Physical Society (APS)}, author={Ai, Qiang and Wingenbach, Jan and Yang, Xinmiao and Wei, Jing and Hatzopoulos, Zaharias and Savvidis, Pavlos G. and Schumacher, Stefan and Ma, Xuekai and Gao, Tingge}, year={2025} }","ama":"Ai Q, Wingenbach J, Yang X, et al. Optically and remotely controlling localization of exciton-polariton condensates in a potential lattice. <i>Physical Review Applied</i>. 2025;23(2). doi:<a href=\"https://doi.org/10.1103/physrevapplied.23.024029\">10.1103/physrevapplied.23.024029</a>","mla":"Ai, Qiang, et al. “Optically and Remotely Controlling Localization of Exciton-Polariton Condensates in a Potential Lattice.” <i>Physical Review Applied</i>, vol. 23, no. 2, 024029, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/physrevapplied.23.024029\">10.1103/physrevapplied.23.024029</a>."},"volume":23,"user_id":"16199","_id":"61249","publisher":"American Physical Society (APS)","status":"public","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"705"},{"_id":"230"},{"_id":"35"},{"_id":"27"}],"type":"journal_article","date_created":"2025-09-12T11:01:17Z","publication":"Physical Review Applied","issue":"2","doi":"10.1103/physrevapplied.23.024029","language":[{"iso":"eng"}],"article_number":"024029","intvolume":"        23","publication_status":"published","date_updated":"2025-09-12T11:02:33Z","publication_identifier":{"issn":["2331-7019"]},"author":[{"full_name":"Ai, Qiang","first_name":"Qiang","last_name":"Ai"},{"full_name":"Wingenbach, Jan","first_name":"Jan","last_name":"Wingenbach","id":"69187"},{"last_name":"Yang","first_name":"Xinmiao","full_name":"Yang, Xinmiao"},{"last_name":"Wei","first_name":"Jing","full_name":"Wei, Jing"},{"last_name":"Hatzopoulos","first_name":"Zaharias","full_name":"Hatzopoulos, Zaharias"},{"full_name":"Savvidis, Pavlos G.","last_name":"Savvidis","first_name":"Pavlos G."},{"full_name":"Schumacher, Stefan","first_name":"Stefan","orcid":"0000-0003-4042-4951","last_name":"Schumacher","id":"27271"},{"first_name":"Xuekai","last_name":"Ma","full_name":"Ma, Xuekai","id":"59416"},{"full_name":"Gao, Tingge","last_name":"Gao","first_name":"Tingge"}],"year":"2025","title":"Optically and remotely controlling localization of exciton-polariton condensates in a potential lattice"},{"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","department":[{"_id":"15"},{"_id":"170"},{"_id":"295"},{"_id":"35"},{"_id":"230"},{"_id":"27"},{"_id":"429"}],"type":"journal_article","author":[{"full_name":"Diederich, Jonathan","last_name":"Diederich","first_name":"Jonathan"},{"last_name":"Paszuk","first_name":"Agnieszka","full_name":"Paszuk, Agnieszka"},{"first_name":"Isaac Azahel","last_name":"Ruiz Alvarado","orcid":"0000-0002-4710-1170","full_name":"Ruiz Alvarado, Isaac Azahel","id":"79462"},{"last_name":"Krenz","first_name":"Marvin","full_name":"Krenz, Marvin"},{"full_name":"Zare Pour, Mohammad Amin","first_name":"Mohammad Amin","last_name":"Zare Pour"},{"full_name":"Babu, Diwakar Suresh","first_name":"Diwakar Suresh","last_name":"Babu"},{"first_name":"Jennifer","last_name":"Velazquez Rojas","full_name":"Velazquez Rojas, Jennifer"},{"full_name":"Höhn, Christian","first_name":"Christian","last_name":"Höhn"},{"first_name":"Yuying","last_name":"Gao","full_name":"Gao, Yuying"},{"full_name":"Schwarzburg, Klaus","first_name":"Klaus","last_name":"Schwarzburg"},{"full_name":"Ostheimer, David","first_name":"David","last_name":"Ostheimer"},{"full_name":"Eichberger, Rainer","first_name":"Rainer","last_name":"Eichberger"},{"id":"468","full_name":"Schmidt, Wolf Gero","first_name":"Wolf Gero","last_name":"Schmidt","orcid":"0000-0002-2717-5076"},{"first_name":"Thomas","last_name":"Hannappel","full_name":"Hannappel, Thomas"},{"full_name":"de Krol, Roel van","last_name":"de Krol","first_name":"Roel van"},{"first_name":"Dennis","last_name":"Friedrich","full_name":"Friedrich, Dennis"}],"publication_identifier":{"issn":["2196-7350","2196-7350"]},"title":"Ultrafast Electron Dynamics at the Water‐Modified InP(100) Surface","year":"2025","intvolume":"        12","date_updated":"2025-09-18T11:06:59Z","publication_status":"published","language":[{"iso":"eng"}],"article_number":"e00463","doi":"10.1002/admi.202500463","citation":{"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} }","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>","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>.","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>.","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>.","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>"},"project":[{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"_id":"55","name":"TRR 142 - Project Area B"},{"name":"TRR 142 - Polaronen-Einfluss auf die optischen Eigenschaften von Lithiumniobat (B07*)","_id":"168"},{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"status":"public","publisher":"Wiley","_id":"61351","volume":12,"user_id":"16199"},{"citation":{"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>.","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} }","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>.","short":"T. Biktagirov, U. Gerstmann, W.G. Schmidt, Nanoscale 17 (2025) 6884–6891.","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>."},"project":[{"_id":"52","name":"Computing Resources Provided by the Paderborn Center for Parallel Computing"},{"_id":"53","name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"_id":"54","name":"TRR 142 - Project Area A"},{"_id":"55","name":"TRR 142 - Project Area B"},{"_id":"168","name":"TRR 142 - Polaronen-Einfluss auf die optischen Eigenschaften von Lithiumniobat (B07*)"},{"_id":"166","name":"TRR 142 - Subproject A11"}],"status":"public","page":"6884-6891","_id":"61356","publisher":"Royal Society of Chemistry (RSC)","user_id":"16199","volume":17,"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"}],"year":"2025","title":"Topological defects in semiconducting carbon nanotubes as triplet exciton traps and single-photon emitters","publication_identifier":{"issn":["2040-3364","2040-3372"]},"author":[{"id":"65612","last_name":"Biktagirov","first_name":"Timur","full_name":"Biktagirov, Timur"},{"id":"171","full_name":"Gerstmann, Uwe","last_name":"Gerstmann","first_name":"Uwe","orcid":"0000-0002-4476-223X"},{"id":"468","full_name":"Schmidt, Wolf Gero","orcid":"0000-0002-2717-5076","last_name":"Schmidt","first_name":"Wolf Gero"}],"publication_status":"published","date_updated":"2025-09-18T11:26:23Z","intvolume":"        17","language":[{"iso":"eng"}],"doi":"10.1039/d4nr03904a"},{"_id":"58519","publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","user_id":"16199","volume":9,"status":"public","citation":{"mla":"Kopylov, Denis A., et al. “Theory of Multimode Squeezed Light Generation in Lossy Media.” <i>Quantum</i>, vol. 9, 1621, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, 2025, doi:<a href=\"https://doi.org/10.22331/q-2025-02-04-1621\">10.22331/q-2025-02-04-1621</a>.","bibtex":"@article{Kopylov_Meier_Sharapova_2025, title={Theory of Multimode Squeezed Light Generation in Lossy Media}, volume={9}, DOI={<a href=\"https://doi.org/10.22331/q-2025-02-04-1621\">10.22331/q-2025-02-04-1621</a>}, number={1621}, journal={Quantum}, publisher={Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften}, author={Kopylov, Denis A. and Meier, Torsten and Sharapova, Polina R.}, year={2025} }","ama":"Kopylov DA, Meier T, Sharapova PR. Theory of Multimode Squeezed Light Generation in Lossy Media. <i>Quantum</i>. 2025;9. doi:<a href=\"https://doi.org/10.22331/q-2025-02-04-1621\">10.22331/q-2025-02-04-1621</a>","ieee":"D. A. Kopylov, T. Meier, and P. R. Sharapova, “Theory of Multimode Squeezed Light Generation in Lossy Media,” <i>Quantum</i>, vol. 9, Art. no. 1621, 2025, doi: <a href=\"https://doi.org/10.22331/q-2025-02-04-1621\">10.22331/q-2025-02-04-1621</a>.","apa":"Kopylov, D. A., Meier, T., &#38; Sharapova, P. R. (2025). Theory of Multimode Squeezed Light Generation in Lossy Media. <i>Quantum</i>, <i>9</i>, Article 1621. <a href=\"https://doi.org/10.22331/q-2025-02-04-1621\">https://doi.org/10.22331/q-2025-02-04-1621</a>","chicago":"Kopylov, Denis A., Torsten Meier, and Polina R. Sharapova. “Theory of Multimode Squeezed Light Generation in Lossy Media.” <i>Quantum</i> 9 (2025). <a href=\"https://doi.org/10.22331/q-2025-02-04-1621\">https://doi.org/10.22331/q-2025-02-04-1621</a>.","short":"D.A. Kopylov, T. Meier, P.R. Sharapova, Quantum 9 (2025)."},"project":[{"name":"PhoQC: PhoQC: Photonisches Quantencomputing","_id":"266"},{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"article_number":"1621","language":[{"iso":"eng"}],"doi":"10.22331/q-2025-02-04-1621","year":"2025","title":"Theory of Multimode Squeezed Light Generation in Lossy Media","publication_identifier":{"issn":["2521-327X"]},"author":[{"full_name":"Kopylov, Denis A.","first_name":"Denis A.","last_name":"Kopylov"},{"id":"344","full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten"},{"last_name":"Sharapova","first_name":"Polina R.","full_name":"Sharapova, Polina R.","id":"60286"}],"publication_status":"published","date_updated":"2025-09-18T13:22:26Z","intvolume":"         9","date_created":"2025-02-05T12:57:37Z","type":"journal_article","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"},{"_id":"623"},{"_id":"27"}],"publication":"Quantum","abstract":[{"text":"<jats:p>A unified theoretical approach to describe the properties of multimode squeezed light generated in a lossy medium is presented. This approach is valid for Markovian environments and includes both a model of discrete losses based on the beamsplitter approach and a generalized continuous loss model based on the spatial Langevin equation. For an important class of Gaussian states, we derive master equations for the second-order correlation functions and illustrate their solution for both frequency-independent and frequency-dependent losses. Studying the mode structure, we demonstrate that in a lossy environment no broadband basis without quadrature correlations between the different broadband modes exists. Therefore, various techniques and strategies to introduce broadband modes can be considered. We show that the Mercer expansion and the Williamson-Euler decomposition do not provide modes in which the maximal squeezing contained in the system can be measured. In turn, we find a new broadband basis that maximizes squeezing in the lossy system and present an algorithm to construct it.</jats:p>","lang":"eng"}]},{"oa":"1","external_id":{"isi":["001580599300001"]},"quality_controlled":"1","isi":"1","citation":{"ieee":"M. Neugum and A. Schindlmayr, “Ab initio calculations of spin waves: A review of theoretical approaches and applications,” <i>Materials</i>, vol. 18, no. 18, Art. no. 4431, 2025, doi: <a href=\"https://doi.org/10.3390/ma18184431\">10.3390/ma18184431</a>.","mla":"Neugum, Michael, and Arno Schindlmayr. “Ab Initio Calculations of Spin Waves: A Review of Theoretical Approaches and Applications.” <i>Materials</i>, vol. 18, no. 18, 4431, MDPI, 2025, doi:<a href=\"https://doi.org/10.3390/ma18184431\">10.3390/ma18184431</a>.","apa":"Neugum, M., &#38; Schindlmayr, A. (2025). Ab initio calculations of spin waves: A review of theoretical approaches and applications. <i>Materials</i>, <i>18</i>(18), Article 4431. <a href=\"https://doi.org/10.3390/ma18184431\">https://doi.org/10.3390/ma18184431</a>","bibtex":"@article{Neugum_Schindlmayr_2025, title={Ab initio calculations of spin waves: A review of theoretical approaches and applications}, volume={18}, DOI={<a href=\"https://doi.org/10.3390/ma18184431\">10.3390/ma18184431</a>}, number={184431}, journal={Materials}, publisher={MDPI}, author={Neugum, Michael and Schindlmayr, Arno}, year={2025} }","short":"M. Neugum, A. Schindlmayr, Materials 18 (2025).","ama":"Neugum M, Schindlmayr A. Ab initio calculations of spin waves: A review of theoretical approaches and applications. <i>Materials</i>. 2025;18(18). doi:<a href=\"https://doi.org/10.3390/ma18184431\">10.3390/ma18184431</a>","chicago":"Neugum, Michael, and Arno Schindlmayr. “Ab Initio Calculations of Spin Waves: A Review of Theoretical Approaches and Applications.” <i>Materials</i> 18, no. 18 (2025). <a href=\"https://doi.org/10.3390/ma18184431\">https://doi.org/10.3390/ma18184431</a>."},"file_date_updated":"2025-09-24T07:19:36Z","volume":18,"user_id":"458","ddc":["530"],"_id":"61279","publisher":"MDPI","has_accepted_license":"1","status":"public","department":[{"_id":"296"},{"_id":"15"},{"_id":"170"},{"_id":"35"},{"_id":"230"}],"type":"journal_article","date_created":"2025-09-15T16:14:59Z","file":[{"description":"Creative Commons Attribution 4.0 International Public License (CC BY 4.0)","date_created":"2025-09-24T07:19:36Z","creator":"schindlm","title":"Ab initio calculations of spin waves: A review of theoretical approaches and applications","content_type":"application/pdf","file_id":"61422","date_updated":"2025-09-24T07:19:36Z","relation":"main_file","file_size":611341,"access_level":"open_access","file_name":"materials-18-04431.pdf"}],"abstract":[{"lang":"eng","text":"Spin waves represent an important class of low-energy excitations in magnetic solids, which influence the thermodynamic properties and play a major role in technical applications, such as spintronics or magnetic data storage. Despite the enormous advances of ab initio simulations in materials science, quantitative calculations of spin-wave spectra still pose a significant challenge, because the collective nature of the spin dynamics requires an accurate treatment of the Coulomb interaction between the electrons. As a consequence, simple lattice models like the Heisenberg Hamiltonian are still widespread in practical investigations, but modern techniques like time-dependent density-functional theory or many-body perturbation theory also open a route to material-specific spin-wave calculations from first principles. Although both are in principle exact, actual implementations necessarily employ approximations for electronic exchange and correlation as well as additional numerical simplifications. In this review, we recapitulate the theoretical foundations of ab initio spin-wave calculations and analyze the common approximations that underlie present implementations. In addition, we survey the available results for spin-wave dispersions of various magnetic materials and compare the performance of different computational approaches. In this way, we provide an overview of the present state of the art and identify directions for further developments."}],"issue":"18","publication":"Materials","doi":"10.3390/ma18184431","language":[{"iso":"eng"}],"article_number":"4431","article_type":"review","intvolume":"        18","publication_status":"published","date_updated":"2025-10-10T07:31:23Z","publication_identifier":{"eissn":["1996-1944"]},"author":[{"full_name":"Neugum, Michael","last_name":"Neugum","first_name":"Michael","id":"80813"},{"id":"458","first_name":"Arno","last_name":"Schindlmayr","orcid":"0000-0002-4855-071X","full_name":"Schindlmayr, Arno"}],"title":"Ab initio calculations of spin waves: A review of theoretical approaches and applications","year":"2025"},{"citation":{"apa":"Meyer, M. T., &#38; Schindlmayr, A. (2025). Generalized Miller formulae for quantum anharmonic oscillators. <i>Dynamics</i>, <i>5</i>(3), Article 34. <a href=\"https://doi.org/10.3390/dynamics5030034\">https://doi.org/10.3390/dynamics5030034</a>","ieee":"M. T. Meyer and A. Schindlmayr, “Generalized Miller formulae for quantum anharmonic oscillators,” <i>Dynamics</i>, vol. 5, no. 3, Art. no. 34, 2025, doi: <a href=\"https://doi.org/10.3390/dynamics5030034\">10.3390/dynamics5030034</a>.","chicago":"Meyer, Maximilian Tim, and Arno Schindlmayr. “Generalized Miller Formulae for Quantum Anharmonic Oscillators.” <i>Dynamics</i> 5, no. 3 (2025). <a href=\"https://doi.org/10.3390/dynamics5030034\">https://doi.org/10.3390/dynamics5030034</a>.","short":"M.T. Meyer, A. Schindlmayr, Dynamics 5 (2025).","mla":"Meyer, Maximilian Tim, and Arno Schindlmayr. “Generalized Miller Formulae for Quantum Anharmonic Oscillators.” <i>Dynamics</i>, vol. 5, no. 3, 34, MDPI, 2025, doi:<a href=\"https://doi.org/10.3390/dynamics5030034\">10.3390/dynamics5030034</a>.","ama":"Meyer MT, Schindlmayr A. Generalized Miller formulae for quantum anharmonic oscillators. <i>Dynamics</i>. 2025;5(3). doi:<a href=\"https://doi.org/10.3390/dynamics5030034\">10.3390/dynamics5030034</a>","bibtex":"@article{Meyer_Schindlmayr_2025, title={Generalized Miller formulae for quantum anharmonic oscillators}, volume={5}, DOI={<a href=\"https://doi.org/10.3390/dynamics5030034\">10.3390/dynamics5030034</a>}, number={334}, journal={Dynamics}, publisher={MDPI}, author={Meyer, Maximilian Tim and Schindlmayr, Arno}, year={2025} }"},"isi":"1","file_date_updated":"2025-08-28T12:27:05Z","quality_controlled":"1","external_id":{"isi":["001581270200001"]},"oa":"1","status":"public","has_accepted_license":"1","publisher":"MDPI","_id":"60959","volume":5,"user_id":"458","ddc":["530"],"issue":"3","publication":"Dynamics","abstract":[{"text":"Miller's rule originated as an empirical relation between the nonlinear and linear optical coefficients of materials. It is now accepted as a useful tool for guiding experiments and computational materials discovery, but its theoretical foundation had long been limited to a derivation for the classical Lorentz model with a weak anharmonic perturbation. Recently, we developed a mathematical framework which enabled us to prove that Miller's rule is equally valid for quantum anharmonic oscillators, despite different dynamics due to zero-point fluctuations and further quantum-mechanical effects. However, our previous derivation applied only to one-dimensional oscillators and to the special case of second- and third-harmonic generation in a monochromatic electric field. Here we extend the proof to three-dimensional quantum anharmonic oscillators and also treat all orders of the nonlinear response to an arbitrary multi-frequency field. This makes the results applicable to a much larger range of physical systems and nonlinear optical processes. The obtained generalized Miller formulae rigorously express all tensor elements of the frequency-dependent nonlinear susceptibilities in terms of the linear susceptibility and thus allow a computationally inexpensive quantitative prediction of arbitrary parametric frequency-mixing processes from a small initial dataset.","lang":"eng"}],"date_created":"2025-08-20T09:46:13Z","file":[{"date_updated":"2025-08-28T12:27:05Z","relation":"main_file","access_level":"open_access","file_size":375897,"file_name":"dynamics-05-00034.pdf","title":"Generalized Miller formulae for quantum anharmonic oscillators","content_type":"application/pdf","file_id":"61056","creator":"schindlm","description":"Creative Commons Attribution 4.0 International Public License (CC BY 4.0)","date_created":"2025-08-28T12:23:26Z"}],"department":[{"_id":"296"},{"_id":"230"},{"_id":"15"},{"_id":"170"},{"_id":"35"}],"type":"journal_article","author":[{"id":"77895","full_name":"Meyer, Maximilian Tim","orcid":"0009-0003-4899-0920","first_name":"Maximilian Tim","last_name":"Meyer"},{"full_name":"Schindlmayr, Arno","first_name":"Arno","orcid":"0000-0002-4855-071X","last_name":"Schindlmayr","id":"458"}],"publication_identifier":{"eissn":["2673-8716"]},"year":"2025","title":"Generalized Miller formulae for quantum anharmonic oscillators","article_type":"original","intvolume":"         5","publication_status":"published","date_updated":"2025-10-10T07:29:36Z","language":[{"iso":"eng"}],"article_number":"34","doi":"10.3390/dynamics5030034"},{"abstract":[{"text":"<jats:title>ABSTRACT</jats:title>\r\n                  <jats:p>Effective manipulation of photonic spin–orbit coupling (SOC) in microcavities is of fundamental importance within topological photonics and applications. Anisotropic organic single‐crystalline materials can induce abundant SOC phenomenon due to their flexible tunability of molecular geometries, however, the intrinsic relationship between molecular geometries/orientations in 3D space and photonic SOC is lacking. In this study, we design two kinds of 2D organic polymorphs for the construction of organic microcavities to investigate the structure‐performance relationships. In two polymorphic microcavities, two distinctive photonic SOC phenomena are observed regardless of the in‐plane anisotropy of organic polymorphs. Theoretical analysis indicates that the photonic SOC strength is strongly influenced by the synergies between the crystal anisotropy and the tilted collective molecular transition dipole moment. Our results uncover the correlation mechanism between the structure of molecules and photonic SOC and open an avenue to engineer complex photonic SOC by use of organic microstructures towards the development of diverse integrated photonic devices.</jats:p>","lang":"eng"}],"citation":{"mla":"Ji, Ying, et al. “Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities Filled with 2D Polymorphic Crystals.” <i>Laser &#38;amp; Photonics Reviews</i>, e01874, Wiley, 2025, doi:<a href=\"https://doi.org/10.1002/lpor.202501874\">10.1002/lpor.202501874</a>.","ama":"Ji Y, Ma X, Huang H, et al. Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities Filled with 2D Polymorphic Crystals. <i>Laser &#38;amp; Photonics Reviews</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1002/lpor.202501874\">10.1002/lpor.202501874</a>","bibtex":"@article{Ji_Ma_Huang_Deng_Wang_Long_Li_Zhao_Li_An_et al._2025, title={Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities Filled with 2D Polymorphic Crystals}, DOI={<a href=\"https://doi.org/10.1002/lpor.202501874\">10.1002/lpor.202501874</a>}, number={e01874}, journal={Laser &#38;amp; Photonics Reviews}, publisher={Wiley}, author={Ji, Ying and Ma, Xuekai and Huang, Han and Deng, Yibo and Wang, Pingyang and Long, Teng and Li, Yuan and Zhao, Ruiyang and Li, Yunfei and An, Cunbin and et al.}, year={2025} }","apa":"Ji, Y., Ma, X., Huang, H., Deng, Y., Wang, P., Long, T., Li, Y., Zhao, R., Li, Y., An, C., Schumacher, S., Gu, C., Liao, B., Fu, H., &#38; Liao, Q. (2025). Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities Filled with 2D Polymorphic Crystals. <i>Laser &#38;amp; Photonics Reviews</i>, Article e01874. <a href=\"https://doi.org/10.1002/lpor.202501874\">https://doi.org/10.1002/lpor.202501874</a>","ieee":"Y. Ji <i>et al.</i>, “Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities Filled with 2D Polymorphic Crystals,” <i>Laser &#38;amp; Photonics Reviews</i>, Art. no. e01874, 2025, doi: <a href=\"https://doi.org/10.1002/lpor.202501874\">10.1002/lpor.202501874</a>.","short":"Y. Ji, X. Ma, H. Huang, Y. Deng, P. Wang, T. Long, Y. Li, R. Zhao, Y. Li, C. An, S. Schumacher, C. Gu, B. Liao, H. Fu, Q. Liao, Laser &#38;amp; Photonics Reviews (2025).","chicago":"Ji, Ying, Xuekai Ma, Han Huang, Yibo Deng, Pingyang Wang, Teng Long, Yuan Li, et al. “Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities Filled with 2D Polymorphic Crystals.” <i>Laser &#38;amp; Photonics Reviews</i>, 2025. <a href=\"https://doi.org/10.1002/lpor.202501874\">https://doi.org/10.1002/lpor.202501874</a>."},"publication":"Laser &amp; Photonics Reviews","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"705"},{"_id":"35"},{"_id":"230"}],"type":"journal_article","date_created":"2025-12-04T12:33:48Z","publication_status":"published","date_updated":"2025-12-04T12:34:45Z","author":[{"last_name":"Ji","first_name":"Ying","full_name":"Ji, Ying"},{"id":"59416","full_name":"Ma, Xuekai","first_name":"Xuekai","last_name":"Ma"},{"first_name":"Han","last_name":"Huang","full_name":"Huang, Han"},{"full_name":"Deng, Yibo","last_name":"Deng","first_name":"Yibo"},{"full_name":"Wang, Pingyang","last_name":"Wang","first_name":"Pingyang"},{"first_name":"Teng","last_name":"Long","full_name":"Long, Teng"},{"full_name":"Li, Yuan","first_name":"Yuan","last_name":"Li"},{"full_name":"Zhao, Ruiyang","first_name":"Ruiyang","last_name":"Zhao"},{"full_name":"Li, Yunfei","first_name":"Yunfei","last_name":"Li"},{"full_name":"An, Cunbin","last_name":"An","first_name":"Cunbin"},{"full_name":"Schumacher, Stefan","first_name":"Stefan","last_name":"Schumacher","orcid":"0000-0003-4042-4951","id":"27271"},{"last_name":"Gu","first_name":"Chunling","full_name":"Gu, Chunling"},{"full_name":"Liao, Bo","first_name":"Bo","last_name":"Liao"},{"last_name":"Fu","first_name":"Hongbing","full_name":"Fu, Hongbing"},{"first_name":"Qing","last_name":"Liao","full_name":"Liao, Qing"}],"publication_identifier":{"issn":["1863-8880","1863-8899"]},"status":"public","year":"2025","title":"Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities Filled with 2D Polymorphic Crystals","user_id":"16199","doi":"10.1002/lpor.202501874","_id":"62867","publisher":"Wiley","language":[{"iso":"eng"}],"article_number":"e01874"},{"publication_identifier":{"issn":["0003-6951","1077-3118"]},"author":[{"full_name":"Ai, Qiang","last_name":"Ai","first_name":"Qiang"},{"first_name":"Xuekai","last_name":"Ma","full_name":"Ma, Xuekai","id":"59416"},{"full_name":"Barkhausen, Franziska","last_name":"Barkhausen","first_name":"Franziska","id":"63631"},{"last_name":"Zhai","first_name":"Xiaokun","full_name":"Zhai, Xiaokun"},{"last_name":"Xing","first_name":"Chunzi","full_name":"Xing, Chunzi"},{"full_name":"Yang, Xinmiao","first_name":"Xinmiao","last_name":"Yang"},{"first_name":"Peilin","last_name":"Wang","full_name":"Wang, Peilin"},{"last_name":"Liu","first_name":"Tianyu","full_name":"Liu, Tianyu"},{"last_name":"Zhang","first_name":"Yong","full_name":"Zhang, Yong"},{"first_name":"Yazhou","last_name":"Gu","full_name":"Gu, Yazhou"},{"full_name":"Li, Peigang","first_name":"Peigang","last_name":"Li"},{"first_name":"Zhitong","last_name":"Li","full_name":"Li, Zhitong"},{"last_name":"Hatzopoulos","first_name":"Zacharias","full_name":"Hatzopoulos, Zacharias"},{"first_name":"Pavlos G.","last_name":"Savvidis","full_name":"Savvidis, Pavlos G."},{"id":"27271","full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","first_name":"Stefan","last_name":"Schumacher"},{"first_name":"Tingge","last_name":"Gao","full_name":"Gao, Tingge"}],"year":"2025","title":"Tuning polariton vortices in an asymmetric ring potential","intvolume":"       127","date_updated":"2025-12-04T12:27:02Z","publication_status":"published","language":[{"iso":"eng"}],"article_number":"121103","doi":"10.1063/5.0287076","publication":"Applied Physics Letters","issue":"12","abstract":[{"lang":"eng","text":"<jats:p>Exciton polariton condensates are macroscopic coherent states in which topological excitations can be observed. In this work, we observe the excitation of the vortices and realize tuning the topological charge by manipulating the pumping configurations. Using a digital micromirror device, we constructed an annular pumping pattern where the inner and outer rings can be easily tuned. Both the number and the topological charge of the vortices can be changed by slightly tuning the inner ring position against the outer ring. The experimental results can be reproduced in theory by the Gross–Pitaevskii equation. Our work offers to generate and manipulate vortices in exciton polariton condensates using a straightforward optical method.</jats:p>"}],"date_created":"2025-12-04T12:25:12Z","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"705"},{"_id":"35"},{"_id":"230"},{"_id":"27"}],"type":"journal_article","status":"public","_id":"62862","publisher":"AIP Publishing","volume":127,"user_id":"16199","citation":{"apa":"Ai, Q., Ma, X., Barkhausen, F., Zhai, X., Xing, C., Yang, X., Wang, P., Liu, T., Zhang, Y., Gu, Y., Li, P., Li, Z., Hatzopoulos, Z., Savvidis, P. G., Schumacher, S., &#38; Gao, T. (2025). Tuning polariton vortices in an asymmetric ring potential. <i>Applied Physics Letters</i>, <i>127</i>(12), Article 121103. <a href=\"https://doi.org/10.1063/5.0287076\">https://doi.org/10.1063/5.0287076</a>","ieee":"Q. Ai <i>et al.</i>, “Tuning polariton vortices in an asymmetric ring potential,” <i>Applied Physics Letters</i>, vol. 127, no. 12, Art. no. 121103, 2025, doi: <a href=\"https://doi.org/10.1063/5.0287076\">10.1063/5.0287076</a>.","chicago":"Ai, Qiang, Xuekai Ma, Franziska Barkhausen, Xiaokun Zhai, Chunzi Xing, Xinmiao Yang, Peilin Wang, et al. “Tuning Polariton Vortices in an Asymmetric Ring Potential.” <i>Applied Physics Letters</i> 127, no. 12 (2025). <a href=\"https://doi.org/10.1063/5.0287076\">https://doi.org/10.1063/5.0287076</a>.","short":"Q. Ai, X. Ma, F. Barkhausen, X. Zhai, C. Xing, X. Yang, P. Wang, T. Liu, Y. Zhang, Y. Gu, P. Li, Z. Li, Z. Hatzopoulos, P.G. Savvidis, S. Schumacher, T. Gao, Applied Physics Letters 127 (2025).","mla":"Ai, Qiang, et al. “Tuning Polariton Vortices in an Asymmetric Ring Potential.” <i>Applied Physics Letters</i>, vol. 127, no. 12, 121103, AIP Publishing, 2025, doi:<a href=\"https://doi.org/10.1063/5.0287076\">10.1063/5.0287076</a>.","ama":"Ai Q, Ma X, Barkhausen F, et al. Tuning polariton vortices in an asymmetric ring potential. <i>Applied Physics Letters</i>. 2025;127(12). doi:<a href=\"https://doi.org/10.1063/5.0287076\">10.1063/5.0287076</a>","bibtex":"@article{Ai_Ma_Barkhausen_Zhai_Xing_Yang_Wang_Liu_Zhang_Gu_et al._2025, title={Tuning polariton vortices in an asymmetric ring potential}, volume={127}, DOI={<a href=\"https://doi.org/10.1063/5.0287076\">10.1063/5.0287076</a>}, number={12121103}, journal={Applied Physics Letters}, publisher={AIP Publishing}, author={Ai, Qiang and Ma, Xuekai and Barkhausen, Franziska and Zhai, Xiaokun and Xing, Chunzi and Yang, Xinmiao and Wang, Peilin and Liu, Tianyu and Zhang, Yong and Gu, Yazhou and et al.}, year={2025} }"},"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}]},{"citation":{"mla":"Sun, Jinming, et al. “Higher-Order Dark Solitons and Control Dynamics in Microcavity Polariton Condensates.” <i>Physical Review B</i>, vol. 112, no. 11, 115305, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/p357-vyq8\">10.1103/p357-vyq8</a>.","bibtex":"@article{Sun_Chen_Schumacher_Hu_Ma_2025, title={Higher-order dark solitons and control dynamics in microcavity polariton condensates}, volume={112}, DOI={<a href=\"https://doi.org/10.1103/p357-vyq8\">10.1103/p357-vyq8</a>}, number={11115305}, journal={Physical Review B}, publisher={American Physical Society (APS)}, author={Sun, Jinming and Chen, Manna and Schumacher, Stefan and Hu, Wei and Ma, Xuekai}, year={2025} }","ama":"Sun J, Chen M, Schumacher S, Hu W, Ma X. Higher-order dark solitons and control dynamics in microcavity polariton condensates. <i>Physical Review B</i>. 2025;112(11). doi:<a href=\"https://doi.org/10.1103/p357-vyq8\">10.1103/p357-vyq8</a>","ieee":"J. Sun, M. Chen, S. Schumacher, W. Hu, and X. Ma, “Higher-order dark solitons and control dynamics in microcavity polariton condensates,” <i>Physical Review B</i>, vol. 112, no. 11, Art. no. 115305, 2025, doi: <a href=\"https://doi.org/10.1103/p357-vyq8\">10.1103/p357-vyq8</a>.","apa":"Sun, J., Chen, M., Schumacher, S., Hu, W., &#38; Ma, X. (2025). Higher-order dark solitons and control dynamics in microcavity polariton condensates. <i>Physical Review B</i>, <i>112</i>(11), Article 115305. <a href=\"https://doi.org/10.1103/p357-vyq8\">https://doi.org/10.1103/p357-vyq8</a>","chicago":"Sun, Jinming, Manna Chen, Stefan Schumacher, Wei Hu, and Xuekai Ma. “Higher-Order Dark Solitons and Control Dynamics in Microcavity Polariton Condensates.” <i>Physical Review B</i> 112, no. 11 (2025). <a href=\"https://doi.org/10.1103/p357-vyq8\">https://doi.org/10.1103/p357-vyq8</a>.","short":"J. Sun, M. Chen, S. Schumacher, W. Hu, X. Ma, Physical Review B 112 (2025)."},"_id":"62865","publisher":"American Physical Society (APS)","volume":112,"user_id":"16199","status":"public","date_created":"2025-12-04T12:28:52Z","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"705"},{"_id":"35"},{"_id":"230"}],"type":"journal_article","publication":"Physical Review B","issue":"11","language":[{"iso":"eng"}],"article_number":"115305","doi":"10.1103/p357-vyq8","publication_identifier":{"issn":["2469-9950","2469-9969"]},"author":[{"first_name":"Jinming","last_name":"Sun","full_name":"Sun, Jinming"},{"first_name":"Manna","last_name":"Chen","full_name":"Chen, Manna"},{"id":"27271","orcid":"0000-0003-4042-4951","last_name":"Schumacher","first_name":"Stefan","full_name":"Schumacher, Stefan"},{"last_name":"Hu","first_name":"Wei","full_name":"Hu, Wei"},{"id":"59416","full_name":"Ma, Xuekai","last_name":"Ma","first_name":"Xuekai"}],"title":"Higher-order dark solitons and control dynamics in microcavity polariton condensates","year":"2025","intvolume":"       112","publication_status":"published","date_updated":"2025-12-04T12:29:37Z"},{"status":"public","publisher":"American Physical Society (APS)","_id":"62912","volume":7,"user_id":"16199","citation":{"ieee":"U. Ali, M. Holthaus, and T. Meier, “Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling,” <i>Physical Review Research</i>, vol. 7, no. 1, Art. no. 013141, 2025, doi: <a href=\"https://doi.org/10.1103/physrevresearch.7.013141\">10.1103/physrevresearch.7.013141</a>.","apa":"Ali, U., Holthaus, M., &#38; Meier, T. (2025). Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling. <i>Physical Review Research</i>, <i>7</i>(1), Article 013141. <a href=\"https://doi.org/10.1103/physrevresearch.7.013141\">https://doi.org/10.1103/physrevresearch.7.013141</a>","mla":"Ali, Usman, et al. “Wave Packet Dynamics in Parabolic Optical Lattices: From Bloch Oscillations to Long-Range Dynamical Tunneling.” <i>Physical Review Research</i>, vol. 7, no. 1, 013141, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/physrevresearch.7.013141\">10.1103/physrevresearch.7.013141</a>.","bibtex":"@article{Ali_Holthaus_Meier_2025, title={Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling}, volume={7}, DOI={<a href=\"https://doi.org/10.1103/physrevresearch.7.013141\">10.1103/physrevresearch.7.013141</a>}, number={1013141}, journal={Physical Review Research}, publisher={American Physical Society (APS)}, author={Ali, Usman and Holthaus, Martin and Meier, Torsten}, year={2025} }","ama":"Ali U, Holthaus M, Meier T. Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling. <i>Physical Review Research</i>. 2025;7(1). doi:<a href=\"https://doi.org/10.1103/physrevresearch.7.013141\">10.1103/physrevresearch.7.013141</a>","short":"U. Ali, M. Holthaus, T. Meier, Physical Review Research 7 (2025).","chicago":"Ali, Usman, Martin Holthaus, and Torsten Meier. “Wave Packet Dynamics in Parabolic Optical Lattices: From Bloch Oscillations to Long-Range Dynamical Tunneling.” <i>Physical Review Research</i> 7, no. 1 (2025). <a href=\"https://doi.org/10.1103/physrevresearch.7.013141\">https://doi.org/10.1103/physrevresearch.7.013141</a>."},"author":[{"first_name":"Usman","last_name":"Ali","full_name":"Ali, Usman"},{"full_name":"Holthaus, Martin","first_name":"Martin","last_name":"Holthaus"},{"full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten","id":"344"}],"publication_identifier":{"issn":["2643-1564"]},"year":"2025","title":"Wave packet dynamics in parabolic optical lattices: From Bloch oscillations to long-range dynamical tunneling","intvolume":"         7","date_updated":"2025-12-05T09:37:10Z","publication_status":"published","language":[{"iso":"eng"}],"article_number":"013141","doi":"10.1103/physrevresearch.7.013141","publication":"Physical Review Research","issue":"1","abstract":[{"lang":"eng","text":"<jats:p>We investigate the dynamics of wave packets in a parabolic optical lattice formed by combining an optical lattice with a global parabolic trap. Our study examines the phase space representation of the system's eigenstates by comparing them to the classical phase space of a pendulum, to which the system effectively maps. The analysis reveals that quantum states can exhibit mixed dynamics by straddling the separatrix. A key finding is that the dynamics around the separatrix enables the controlled creation of highly nonclassical states, distinguishing them from the classical oscillatory or rotational dynamics of the pendulum. By considering a finite momentum of the initial wave packet, we demonstrate various dynamical regimes. Furthermore, a slight energy mismatch between nearly degenerate states localized at opposite turning points of the trap potential results in controlled long-range dynamical tunneling. These results can be interpreted as quantum beating between a clockwise rotating and a counterclockwise rotating pendulum.</jats:p>"}],"date_created":"2025-12-05T09:36:31Z","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"},{"_id":"35"}],"type":"journal_article"}]
