[{"language":[{"iso":"eng"}],"article_number":"23478","user_id":"16199","department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"35"},{"_id":"230"},{"_id":"27"}],"project":[{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"445","name":"Hochleistungsrechner Noctua in Paderborn"}],"_id":"61246","status":"public","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>"}],"type":"journal_article","publication":"Scientific Reports","doi":"10.1038/s41598-025-05660-3","title":"Numerical solution of nonlinear Schrödinger equation by a hybrid pseudospectral-variational quantum algorithm","date_created":"2025-09-12T10:43:29Z","author":[{"last_name":"Köcher","id":"79191","full_name":"Köcher, Nikolas","first_name":"Nikolas"},{"id":"55958","full_name":"Rose, Hendrik","last_name":"Rose","orcid":"0000-0002-3079-5428","first_name":"Hendrik"},{"first_name":"Sachin S.","full_name":"Bharadwaj, Sachin S.","last_name":"Bharadwaj"},{"full_name":"Schumacher, Jörg","last_name":"Schumacher","first_name":"Jörg"},{"full_name":"Schumacher, Stefan","id":"27271","last_name":"Schumacher","orcid":"0000-0003-4042-4951","first_name":"Stefan"}],"volume":15,"publisher":"Springer Science and Business Media LLC","date_updated":"2025-09-12T10:57:22Z","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>","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>.","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>.","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).","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} }","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>"},"intvolume":"        15","year":"2025","issue":"1","publication_status":"published","publication_identifier":{"issn":["2045-2322"]}},{"status":"public","publication":"2024 IEEE 63rd Conference on Decision and Control (CDC)","type":"conference","language":[{"iso":"eng"}],"department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"},{"_id":"623"},{"_id":"35"}],"user_id":"16199","_id":"62913","project":[{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"citation":{"apa":"Hunstig, A., Peitz, S., Rose, H., &#38; Meier, T. (2025). Accelerating the analysis of optical quantum systems using the Koopman operator. <i>2024 IEEE 63rd Conference on Decision and Control (CDC)</i>. <a href=\"https://doi.org/10.1109/cdc56724.2024.10886589\">https://doi.org/10.1109/cdc56724.2024.10886589</a>","mla":"Hunstig, Anna, et al. “Accelerating the Analysis of Optical Quantum Systems Using the Koopman Operator.” <i>2024 IEEE 63rd Conference on Decision and Control (CDC)</i>, IEEE, 2025, doi:<a href=\"https://doi.org/10.1109/cdc56724.2024.10886589\">10.1109/cdc56724.2024.10886589</a>.","bibtex":"@inproceedings{Hunstig_Peitz_Rose_Meier_2025, title={Accelerating the analysis of optical quantum systems using the Koopman operator}, DOI={<a href=\"https://doi.org/10.1109/cdc56724.2024.10886589\">10.1109/cdc56724.2024.10886589</a>}, booktitle={2024 IEEE 63rd Conference on Decision and Control (CDC)}, publisher={IEEE}, author={Hunstig, Anna and Peitz, Sebastian and Rose, Hendrik and Meier, Torsten}, year={2025} }","short":"A. Hunstig, S. Peitz, H. Rose, T. Meier, in: 2024 IEEE 63rd Conference on Decision and Control (CDC), IEEE, 2025.","ieee":"A. Hunstig, S. Peitz, H. Rose, and T. Meier, “Accelerating the analysis of optical quantum systems using the Koopman operator,” 2025, doi: <a href=\"https://doi.org/10.1109/cdc56724.2024.10886589\">10.1109/cdc56724.2024.10886589</a>.","chicago":"Hunstig, Anna, Sebastian Peitz, Hendrik Rose, and Torsten Meier. “Accelerating the Analysis of Optical Quantum Systems Using the Koopman Operator.” In <i>2024 IEEE 63rd Conference on Decision and Control (CDC)</i>. IEEE, 2025. <a href=\"https://doi.org/10.1109/cdc56724.2024.10886589\">https://doi.org/10.1109/cdc56724.2024.10886589</a>.","ama":"Hunstig A, Peitz S, Rose H, Meier T. Accelerating the analysis of optical quantum systems using the Koopman operator. In: <i>2024 IEEE 63rd Conference on Decision and Control (CDC)</i>. IEEE; 2025. doi:<a href=\"https://doi.org/10.1109/cdc56724.2024.10886589\">10.1109/cdc56724.2024.10886589</a>"},"year":"2025","publication_status":"published","doi":"10.1109/cdc56724.2024.10886589","title":"Accelerating the analysis of optical quantum systems using the Koopman operator","date_created":"2025-12-05T09:37:58Z","author":[{"first_name":"Anna","full_name":"Hunstig, Anna","id":"73659","last_name":"Hunstig"},{"last_name":"Peitz","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian","id":"47427","first_name":"Sebastian"},{"id":"55958","full_name":"Rose, Hendrik","last_name":"Rose","orcid":"0000-0002-3079-5428","first_name":"Hendrik"},{"orcid":"0000-0001-8864-2072","last_name":"Meier","full_name":"Meier, Torsten","id":"344","first_name":"Torsten"}],"publisher":"IEEE","date_updated":"2025-12-05T09:40:24Z"},{"doi":"10.1103/528f-7smh","volume":112,"author":[{"last_name":"Rose","orcid":"0000-0002-3079-5428","full_name":"Rose, Hendrik","id":"55958","first_name":"Hendrik"},{"last_name":"Schumacher","orcid":"0000-0003-4042-4951","full_name":"Schumacher, Stefan","id":"27271","first_name":"Stefan"},{"last_name":"Meier","orcid":"0000-0001-8864-2072","id":"344","full_name":"Meier, Torsten","first_name":"Torsten"}],"date_updated":"2025-12-16T15:52:55Z","intvolume":"       112","citation":{"apa":"Rose, H., Schumacher, S., &#38; Meier, T. (2025). Microscopic approach to the quantized light-matter interaction in semiconductor nanostructures: Complex coupled dynamics of excitons, biexcitons, and photons. <i>Physical Review B</i>, <i>112</i>(24), Article 245304. <a href=\"https://doi.org/10.1103/528f-7smh\">https://doi.org/10.1103/528f-7smh</a>","bibtex":"@article{Rose_Schumacher_Meier_2025, title={Microscopic approach to the quantized light-matter interaction in semiconductor nanostructures: Complex coupled dynamics of excitons, biexcitons, and photons}, volume={112}, DOI={<a href=\"https://doi.org/10.1103/528f-7smh\">10.1103/528f-7smh</a>}, number={24245304}, journal={Physical Review B}, publisher={American Physical Society (APS)}, author={Rose, Hendrik and Schumacher, Stefan and Meier, Torsten}, year={2025} }","mla":"Rose, Hendrik, et al. “Microscopic Approach to the Quantized Light-Matter Interaction in Semiconductor Nanostructures: Complex Coupled Dynamics of Excitons, Biexcitons, and Photons.” <i>Physical Review B</i>, vol. 112, no. 24, 245304, American Physical Society (APS), 2025, doi:<a href=\"https://doi.org/10.1103/528f-7smh\">10.1103/528f-7smh</a>.","short":"H. Rose, S. Schumacher, T. Meier, Physical Review B 112 (2025).","ieee":"H. Rose, S. Schumacher, and T. Meier, “Microscopic approach to the quantized light-matter interaction in semiconductor nanostructures: Complex coupled dynamics of excitons, biexcitons, and photons,” <i>Physical Review B</i>, vol. 112, no. 24, Art. no. 245304, 2025, doi: <a href=\"https://doi.org/10.1103/528f-7smh\">10.1103/528f-7smh</a>.","chicago":"Rose, Hendrik, Stefan Schumacher, and Torsten Meier. “Microscopic Approach to the Quantized Light-Matter Interaction in Semiconductor Nanostructures: Complex Coupled Dynamics of Excitons, Biexcitons, and Photons.” <i>Physical Review B</i> 112, no. 24 (2025). <a href=\"https://doi.org/10.1103/528f-7smh\">https://doi.org/10.1103/528f-7smh</a>.","ama":"Rose H, Schumacher S, Meier T. Microscopic approach to the quantized light-matter interaction in semiconductor nanostructures: Complex coupled dynamics of excitons, biexcitons, and photons. <i>Physical Review B</i>. 2025;112(24). doi:<a href=\"https://doi.org/10.1103/528f-7smh\">10.1103/528f-7smh</a>"},"publication_identifier":{"issn":["2469-9950","2469-9969"]},"publication_status":"published","article_number":"245304","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"297"},{"_id":"623"},{"_id":"429"},{"_id":"230"},{"_id":"35"},{"_id":"27"}],"user_id":"16199","_id":"63160","project":[{"name":"TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"name":"TRR 142 - Project Area A","_id":"54"},{"_id":"59","name":"TRR 142; TP A02: Nichtlineare Spektroskopie von Halbleiter-Nanostrukturen mit Quantenlicht"},{"name":"Hochleistungsrechner Noctua in Paderborn","_id":"445"},{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"266","name":"PhoQC: Photonisches Quantencomputing"}],"status":"public","type":"journal_article","title":"Microscopic approach to the quantized light-matter interaction in semiconductor nanostructures: Complex coupled dynamics of excitons, biexcitons, and photons","date_created":"2025-12-16T15:50:42Z","publisher":"American Physical Society (APS)","year":"2025","issue":"24","language":[{"iso":"eng"}],"publication":"Physical Review B"},{"title":"Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light","doi":"10.5281/ZENODO.10817980","date_updated":"2024-08-09T05:15:58Z","publisher":"LibreCat University","date_created":"2024-05-21T14:31:43Z","author":[{"first_name":"Hendrik","full_name":"Rose, Hendrik","id":"55958","last_name":"Rose","orcid":"0000-0002-3079-5428"},{"first_name":"Polina","last_name":"Sharapova","id":"60286","full_name":"Sharapova, Polina"},{"first_name":"Torsten","full_name":"Meier, Torsten","id":"344","last_name":"Meier","orcid":"0000-0001-8864-2072"}],"year":"2024","citation":{"short":"H. Rose, P. Sharapova, T. Meier, Microscopic Simulations of the Dynamics of Excitonic Many-Body Correlations Coupled to Quantum Light, LibreCat University, 2024.","mla":"Rose, Hendrik, et al. <i>Microscopic Simulations of the Dynamics of Excitonic Many-Body Correlations Coupled to Quantum Light</i>. LibreCat University, 2024, doi:<a href=\"https://doi.org/10.5281/ZENODO.10817980\">10.5281/ZENODO.10817980</a>.","bibtex":"@book{Rose_Sharapova_Meier_2024, title={Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light}, DOI={<a href=\"https://doi.org/10.5281/ZENODO.10817980\">10.5281/ZENODO.10817980</a>}, publisher={LibreCat University}, author={Rose, Hendrik and Sharapova, Polina and Meier, Torsten}, year={2024} }","apa":"Rose, H., Sharapova, P., &#38; Meier, T. (2024). <i>Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light</i>. LibreCat University. <a href=\"https://doi.org/10.5281/ZENODO.10817980\">https://doi.org/10.5281/ZENODO.10817980</a>","ama":"Rose H, Sharapova P, Meier T. <i>Microscopic Simulations of the Dynamics of Excitonic Many-Body Correlations Coupled to Quantum Light</i>. LibreCat University; 2024. doi:<a href=\"https://doi.org/10.5281/ZENODO.10817980\">10.5281/ZENODO.10817980</a>","chicago":"Rose, Hendrik, Polina Sharapova, and Torsten Meier. <i>Microscopic Simulations of the Dynamics of Excitonic Many-Body Correlations Coupled to Quantum Light</i>. LibreCat University, 2024. <a href=\"https://doi.org/10.5281/ZENODO.10817980\">https://doi.org/10.5281/ZENODO.10817980</a>.","ieee":"H. Rose, P. Sharapova, and T. Meier, <i>Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light</i>. LibreCat University, 2024."},"_id":"54405","user_id":"16199","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"}],"abstract":[{"text":"Dataset of the publication \"Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light\" H. Rose, P. R. Sharapova, and T. Meier, Proc. SPIE 12884, Ultrafast Phenomena and Nanophotonics XXVIII, 1288403 (2024). ( https://doi.org/10.1117/12.2690245 ). The zip file includes the data on which the plots shown in figures 1 and 2 are based.","lang":"eng"}],"status":"public","type":"research_data"},{"year":"2024","citation":{"chicago":"Rose, Hendrik, Polina R. Sharapova, and Torsten Meier. “Microscopic Simulations of the Dynamics of Excitonic Many-Body Correlations Coupled to Quantum Light.” In <i>Ultrafast Phenomena and Nanophotonics XXVIII</i>, edited by Markus Betz and Abdulhakem Y. Elezzabi. SPIE, 2024. <a href=\"https://doi.org/10.1117/12.2690245\">https://doi.org/10.1117/12.2690245</a>.","ieee":"H. Rose, P. R. Sharapova, and T. Meier, “Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light,” in <i>Ultrafast Phenomena and Nanophotonics XXVIII</i>, 2024, doi: <a href=\"https://doi.org/10.1117/12.2690245\">10.1117/12.2690245</a>.","ama":"Rose H, Sharapova PR, Meier T. Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light. In: Betz M, Elezzabi AY, eds. <i>Ultrafast Phenomena and Nanophotonics XXVIII</i>. SPIE; 2024. doi:<a href=\"https://doi.org/10.1117/12.2690245\">10.1117/12.2690245</a>","short":"H. Rose, P.R. Sharapova, T. Meier, in: M. Betz, A.Y. Elezzabi (Eds.), Ultrafast Phenomena and Nanophotonics XXVIII, SPIE, 2024.","bibtex":"@inproceedings{Rose_Sharapova_Meier_2024, title={Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light}, DOI={<a href=\"https://doi.org/10.1117/12.2690245\">10.1117/12.2690245</a>}, booktitle={Ultrafast Phenomena and Nanophotonics XXVIII}, publisher={SPIE}, author={Rose, Hendrik and Sharapova, Polina R. and Meier, Torsten}, editor={Betz, Markus and Elezzabi, Abdulhakem Y.}, year={2024} }","mla":"Rose, Hendrik, et al. “Microscopic Simulations of the Dynamics of Excitonic Many-Body Correlations Coupled to Quantum Light.” <i>Ultrafast Phenomena and Nanophotonics XXVIII</i>, edited by Markus Betz and Abdulhakem Y. Elezzabi, SPIE, 2024, doi:<a href=\"https://doi.org/10.1117/12.2690245\">10.1117/12.2690245</a>.","apa":"Rose, H., Sharapova, P. R., &#38; Meier, T. (2024). Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light. In M. Betz &#38; A. Y. Elezzabi (Eds.), <i>Ultrafast Phenomena and Nanophotonics XXVIII</i>. SPIE. <a href=\"https://doi.org/10.1117/12.2690245\">https://doi.org/10.1117/12.2690245</a>"},"publication_status":"published","title":"Microscopic simulations of the dynamics of excitonic many-body correlations coupled to quantum light","doi":"10.1117/12.2690245","date_updated":"2024-08-30T11:59:34Z","publisher":"SPIE","author":[{"full_name":"Rose, Hendrik","id":"55958","orcid":"0000-0002-3079-5428","last_name":"Rose","first_name":"Hendrik"},{"full_name":"Sharapova, Polina R.","id":"60286","last_name":"Sharapova","first_name":"Polina R."},{"full_name":"Meier, Torsten","id":"344","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten"}],"date_created":"2024-07-15T10:26:04Z","editor":[{"last_name":"Betz","full_name":"Betz, Markus","first_name":"Markus"},{"full_name":"Elezzabi, Abdulhakem Y.","last_name":"Elezzabi","first_name":"Abdulhakem Y."}],"status":"public","publication":"Ultrafast Phenomena and Nanophotonics XXVIII","type":"conference","language":[{"iso":"eng"}],"_id":"55268","project":[{"grant_number":"231447078","name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen","_id":"53"},{"_id":"54","name":"TRR 142 - A: TRR 142 - Project Area A"},{"name":"TRR 142 - A02: TRR 142 - Nichtlineare Spektroskopie von Halbleiter-Nanostrukturen mit Quantenlicht (A02)","_id":"59","grant_number":"231447078"}],"department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"},{"_id":"429"},{"_id":"623"}],"user_id":"16199"},{"main_file_link":[{"url":"https://arxiv.org/pdf/2310.16578.pdf","open_access":"1"}],"title":"Accelerating the analysis of optical quantum systems using the Koopman operator","author":[{"orcid":"0000-0002-3389-793X","last_name":"Peitz","full_name":"Peitz, Sebastian","id":"47427","first_name":"Sebastian"},{"first_name":"Anna","full_name":"Hunstig, Anna","last_name":"Hunstig"},{"orcid":"0000-0002-3079-5428","last_name":"Rose","id":"55958","full_name":"Rose, Hendrik","first_name":"Hendrik"},{"orcid":"0000-0001-8864-2072","last_name":"Meier","full_name":"Meier, Torsten","id":"344","first_name":"Torsten"}],"date_created":"2023-10-27T09:40:59Z","date_updated":"2023-10-27T10:05:07Z","oa":"1","citation":{"ama":"Peitz S, Hunstig A, Rose H, Meier T. Accelerating the analysis of optical quantum systems using the Koopman operator. Published online 2023.","chicago":"Peitz, Sebastian, Anna Hunstig, Hendrik Rose, and Torsten Meier. “Accelerating the Analysis of Optical Quantum Systems Using the Koopman Operator,” 2023.","ieee":"S. Peitz, A. Hunstig, H. Rose, and T. Meier, “Accelerating the analysis of optical quantum systems using the Koopman operator.” 2023.","apa":"Peitz, S., Hunstig, A., Rose, H., &#38; Meier, T. (2023). <i>Accelerating the analysis of optical quantum systems using the Koopman operator</i>.","short":"S. Peitz, A. Hunstig, H. Rose, T. Meier, (2023).","bibtex":"@article{Peitz_Hunstig_Rose_Meier_2023, title={Accelerating the analysis of optical quantum systems using the Koopman operator}, author={Peitz, Sebastian and Hunstig, Anna and Rose, Hendrik and Meier, Torsten}, year={2023} }","mla":"Peitz, Sebastian, et al. <i>Accelerating the Analysis of Optical Quantum Systems Using the Koopman Operator</i>. 2023."},"year":"2023","language":[{"iso":"eng"}],"user_id":"47427","department":[{"_id":"655"},{"_id":"623"}],"_id":"48502","status":"public","abstract":[{"lang":"eng","text":"The prediction of photon echoes is an important technique for gaining an understanding of optical quantum systems. However, this requires a large number of simulations with varying parameters and/or input pulses, which renders numerical studies expensive. This article investigates how we can use data-driven surrogate models based on the Koopman operator to accelerate this process. In order to be successful, we require a model that is accurate over a large number of time steps. To this end, we employ a bilinear Koopman model using extended dynamic mode decomposition and simulate the optical Bloch equations for an ensemble of inhomogeneously broadened two-level systems. Such systems are well suited to describe the excitation of excitonic resonances in semiconductor nanostructures, for example, ensembles of semiconductor quantum dots. We perform a detailed study on the required number of system simulations such that the resulting data-driven Koopman model is sufficiently accurate for a wide range of parameter settings. We analyze the L2 error and the relative error of the photon echo peak and investigate how the control positions relate to the stabilization. After proper training, the dynamics of the quantum ensemble can be predicted accurately and numerically very efficiently by our methods."}],"type":"preprint"},{"_id":"54407","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"}],"user_id":"16199","type":"research_data","abstract":[{"lang":"eng","text":"Dataset of the publication \"Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field\" H. Rose, A. N. Vasil’ev, O. V. Tikhonova, T. Meier, and P. R. Sharapova, Phys. Rev. A <strong>107</strong>, 013703 (2023). ( https://doi.org/10.1103/PhysRevA.107.013703 ). The zip file includes the data on which the plots shown in figures 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11 are based."}],"status":"public","date_updated":"2024-07-15T09:35:42Z","publisher":"LibreCat University","author":[{"first_name":"Hendrik","full_name":"Rose, Hendrik","id":"55958","orcid":"0000-0002-3079-5428","last_name":"Rose"},{"last_name":"Vasil'ev","full_name":"Vasil'ev, Andrey N.","first_name":"Andrey N."},{"last_name":"Tikhonova","full_name":"Tikhonova, Olga V.","first_name":"Olga V."},{"full_name":"Meier, Torsten","id":"344","orcid":"0000-0001-8864-2072","last_name":"Meier","first_name":"Torsten"},{"last_name":"Sharapova","full_name":"Sharapova, Polina","id":"60286","first_name":"Polina"}],"date_created":"2024-05-21T14:34:35Z","title":"Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field","doi":"10.5281/ZENODO.7554556","year":"2023","citation":{"mla":"Rose, Hendrik, et al. <i>Quantum-Optical Excitations of Semiconductor Nanostructures in a Microcavity Using a Two-Band Model and a Single-Mode Quantum Field</i>. LibreCat University, 2023, doi:<a href=\"https://doi.org/10.5281/ZENODO.7554556\">10.5281/ZENODO.7554556</a>.","bibtex":"@book{Rose_Vasil’ev_Tikhonova_Meier_Sharapova_2023, title={Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field}, DOI={<a href=\"https://doi.org/10.5281/ZENODO.7554556\">10.5281/ZENODO.7554556</a>}, publisher={LibreCat University}, author={Rose, Hendrik and Vasil’ev, Andrey N. and Tikhonova, Olga V. and Meier, Torsten and Sharapova, Polina}, year={2023} }","short":"H. Rose, A.N. Vasil’ev, O.V. Tikhonova, T. Meier, P. Sharapova, Quantum-Optical Excitations of Semiconductor Nanostructures in a Microcavity Using a Two-Band Model and a Single-Mode Quantum Field, LibreCat University, 2023.","apa":"Rose, H., Vasil’ev, A. N., Tikhonova, O. V., Meier, T., &#38; Sharapova, P. (2023). <i>Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field</i>. LibreCat University. <a href=\"https://doi.org/10.5281/ZENODO.7554556\">https://doi.org/10.5281/ZENODO.7554556</a>","ama":"Rose H, Vasil’ev AN, Tikhonova OV, Meier T, Sharapova P. <i>Quantum-Optical Excitations of Semiconductor Nanostructures in a Microcavity Using a Two-Band Model and a Single-Mode Quantum Field</i>. LibreCat University; 2023. doi:<a href=\"https://doi.org/10.5281/ZENODO.7554556\">10.5281/ZENODO.7554556</a>","ieee":"H. Rose, A. N. Vasil’ev, O. V. Tikhonova, T. Meier, and P. Sharapova, <i>Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field</i>. LibreCat University, 2023.","chicago":"Rose, Hendrik, Andrey N. Vasil’ev, Olga V. Tikhonova, Torsten Meier, and Polina Sharapova. <i>Quantum-Optical Excitations of Semiconductor Nanostructures in a Microcavity Using a Two-Band Model and a Single-Mode Quantum Field</i>. LibreCat University, 2023. <a href=\"https://doi.org/10.5281/ZENODO.7554556\">https://doi.org/10.5281/ZENODO.7554556</a>."}},{"year":"2023","citation":{"ieee":"H. Rose <i>et al.</i>, <i>Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light</i>. LibreCat University, 2023.","chicago":"Rose, Hendrik, Stefan Grisard, Artur V. Trifonov, Rilana Reichhardt, Matthias Reichelt, Manfred Bayer, Ilya A. Akimov, and Torsten Meier. <i>Theoretical Analysis of Four-Wave Mixing on Semiconductor Quantum Dot Ensembles with Quantum Light</i>. LibreCat University, 2023. <a href=\"https://doi.org/10.5281/ZENODO.7755761\">https://doi.org/10.5281/ZENODO.7755761</a>.","ama":"Rose H, Grisard S, Trifonov AV, et al. <i>Theoretical Analysis of Four-Wave Mixing on Semiconductor Quantum Dot Ensembles with Quantum Light</i>. LibreCat University; 2023. doi:<a href=\"https://doi.org/10.5281/ZENODO.7755761\">10.5281/ZENODO.7755761</a>","bibtex":"@book{Rose_Grisard_Trifonov_Reichhardt_Reichelt_Bayer_Akimov_Meier_2023, title={Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light}, DOI={<a href=\"https://doi.org/10.5281/ZENODO.7755761\">10.5281/ZENODO.7755761</a>}, publisher={LibreCat University}, author={Rose, Hendrik and Grisard, Stefan and Trifonov, Artur V. and Reichhardt, Rilana and Reichelt, Matthias and Bayer, Manfred and Akimov, Ilya A. and Meier, Torsten}, year={2023} }","short":"H. Rose, S. Grisard, A.V. Trifonov, R. Reichhardt, M. Reichelt, M. Bayer, I.A. Akimov, T. Meier, Theoretical Analysis of Four-Wave Mixing on Semiconductor Quantum Dot Ensembles with Quantum Light, LibreCat University, 2023.","mla":"Rose, Hendrik, et al. <i>Theoretical Analysis of Four-Wave Mixing on Semiconductor Quantum Dot Ensembles with Quantum Light</i>. LibreCat University, 2023, doi:<a href=\"https://doi.org/10.5281/ZENODO.7755761\">10.5281/ZENODO.7755761</a>.","apa":"Rose, H., Grisard, S., Trifonov, A. V., Reichhardt, R., Reichelt, M., Bayer, M., Akimov, I. A., &#38; Meier, T. (2023). <i>Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light</i>. LibreCat University. <a href=\"https://doi.org/10.5281/ZENODO.7755761\">https://doi.org/10.5281/ZENODO.7755761</a>"},"title":"Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light","doi":"10.5281/ZENODO.7755761","date_updated":"2024-07-15T09:43:25Z","publisher":"LibreCat University","author":[{"orcid":"0000-0002-3079-5428","last_name":"Rose","full_name":"Rose, Hendrik","id":"55958","first_name":"Hendrik"},{"first_name":"Stefan","full_name":"Grisard, Stefan","last_name":"Grisard"},{"first_name":"Artur V.","full_name":"Trifonov, Artur V.","last_name":"Trifonov"},{"first_name":"Rilana","full_name":"Reichhardt, Rilana","last_name":"Reichhardt"},{"id":"138","full_name":"Reichelt, Matthias","last_name":"Reichelt","first_name":"Matthias"},{"last_name":"Bayer","full_name":"Bayer, Manfred","first_name":"Manfred"},{"first_name":"Ilya A.","full_name":"Akimov, Ilya A.","last_name":"Akimov"},{"orcid":"0000-0001-8864-2072","last_name":"Meier","full_name":"Meier, Torsten","id":"344","first_name":"Torsten"}],"date_created":"2024-04-05T09:54:32Z","abstract":[{"lang":"eng","text":"Dataset of the publication \"Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light\" H. Rose, S. Grisard, A. V. Trifonov, R. Reichhardt, M. Reichelt, M. Bayer, I. A. Akimov, and T. Meier, Proc. SPIE 12419, Ultrafast Phenomena and Nanophotonics XXVII, 124190H (2023). ( https://doi.org/10.1117/12.2647700 ). The zip file includes the data on which the plots shown in figures 1 and 2 are based."}],"status":"public","type":"research_data","_id":"53298","project":[{"name":"TRR 142 - A02: TRR 142 - Nichtlineare Spektroskopie von Halbleiter-Nanostrukturen mit Quantenlicht (A02)","_id":"59","grant_number":"231447078"},{"_id":"165","name":"TRR 142 - A10: TRR 142 - Nichtlinearitäten von atomar dünnen Übergangsmetall-Dichalkogeniden in starken Feldern (A10)","grant_number":"231447078"}],"department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"},{"_id":"429"}],"user_id":"16199"},{"_id":"55901","project":[{"grant_number":"231447078","_id":"53","name":"TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten zu funktionellen Strukturen"},{"name":"TRR 142 - A: TRR 142 - Project Area A","_id":"54"},{"grant_number":"231447078","name":"TRR 142 - A02: TRR 142 - Nichtlineare Spektroskopie von Halbleiter-Nanostrukturen mit Quantenlicht (A02)","_id":"59"},{"_id":"697","name":"PhoQS: PhoQS-Projekt: Quantenunterstützte Sensorsysteme"}],"department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"429"},{"_id":"230"},{"_id":"623"}],"user_id":"16199","language":[{"iso":"eng"}],"publication":"ACS Photonics","type":"journal_article","status":"public","publisher":"American Chemical Society (ACS)","date_updated":"2024-08-30T04:59:47Z","volume":10,"date_created":"2024-08-30T04:57:10Z","author":[{"first_name":"Stefan","last_name":"Grisard","full_name":"Grisard, Stefan"},{"first_name":"Artur V.","full_name":"Trifonov, Artur V.","last_name":"Trifonov"},{"first_name":"Hendrik","full_name":"Rose, Hendrik","id":"55958","last_name":"Rose","orcid":"0000-0002-3079-5428"},{"last_name":"Reichhardt","full_name":"Reichhardt, Rilana","first_name":"Rilana"},{"full_name":"Reichelt, Matthias","id":"138","last_name":"Reichelt","first_name":"Matthias"},{"full_name":"Schneider, Christian","last_name":"Schneider","first_name":"Christian"},{"first_name":"Martin","full_name":"Kamp, Martin","last_name":"Kamp"},{"full_name":"Höfling, Sven","last_name":"Höfling","first_name":"Sven"},{"first_name":"Manfred","full_name":"Bayer, Manfred","last_name":"Bayer"},{"first_name":"Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","id":"344","full_name":"Meier, Torsten"},{"first_name":"Ilya A.","last_name":"Akimov","full_name":"Akimov, Ilya A."}],"title":"Temporal Sorting of Optical Multiwave-Mixing Processes in Semiconductor Quantum Dots","doi":"10.1021/acsphotonics.3c00530","publication_identifier":{"issn":["2330-4022","2330-4022"]},"publication_status":"published","issue":"9","year":"2023","page":"3161-3170","intvolume":"        10","citation":{"short":"S. Grisard, A.V. Trifonov, H. Rose, R. Reichhardt, M. Reichelt, C. Schneider, M. Kamp, S. Höfling, M. Bayer, T. Meier, I.A. Akimov, ACS Photonics 10 (2023) 3161–3170.","mla":"Grisard, Stefan, et al. “Temporal Sorting of Optical Multiwave-Mixing Processes in Semiconductor Quantum Dots.” <i>ACS Photonics</i>, vol. 10, no. 9, American Chemical Society (ACS), 2023, pp. 3161–70, doi:<a href=\"https://doi.org/10.1021/acsphotonics.3c00530\">10.1021/acsphotonics.3c00530</a>.","bibtex":"@article{Grisard_Trifonov_Rose_Reichhardt_Reichelt_Schneider_Kamp_Höfling_Bayer_Meier_et al._2023, title={Temporal Sorting of Optical Multiwave-Mixing Processes in Semiconductor Quantum Dots}, volume={10}, DOI={<a href=\"https://doi.org/10.1021/acsphotonics.3c00530\">10.1021/acsphotonics.3c00530</a>}, number={9}, journal={ACS Photonics}, publisher={American Chemical Society (ACS)}, author={Grisard, Stefan and Trifonov, Artur V. and Rose, Hendrik and Reichhardt, Rilana and Reichelt, Matthias and Schneider, Christian and Kamp, Martin and Höfling, Sven and Bayer, Manfred and Meier, Torsten and et al.}, year={2023}, pages={3161–3170} }","apa":"Grisard, S., Trifonov, A. V., Rose, H., Reichhardt, R., Reichelt, M., Schneider, C., Kamp, M., Höfling, S., Bayer, M., Meier, T., &#38; Akimov, I. A. (2023). Temporal Sorting of Optical Multiwave-Mixing Processes in Semiconductor Quantum Dots. <i>ACS Photonics</i>, <i>10</i>(9), 3161–3170. <a href=\"https://doi.org/10.1021/acsphotonics.3c00530\">https://doi.org/10.1021/acsphotonics.3c00530</a>","chicago":"Grisard, Stefan, Artur V. Trifonov, Hendrik Rose, Rilana Reichhardt, Matthias Reichelt, Christian Schneider, Martin Kamp, et al. “Temporal Sorting of Optical Multiwave-Mixing Processes in Semiconductor Quantum Dots.” <i>ACS Photonics</i> 10, no. 9 (2023): 3161–70. <a href=\"https://doi.org/10.1021/acsphotonics.3c00530\">https://doi.org/10.1021/acsphotonics.3c00530</a>.","ieee":"S. Grisard <i>et al.</i>, “Temporal Sorting of Optical Multiwave-Mixing Processes in Semiconductor Quantum Dots,” <i>ACS Photonics</i>, vol. 10, no. 9, pp. 3161–3170, 2023, doi: <a href=\"https://doi.org/10.1021/acsphotonics.3c00530\">10.1021/acsphotonics.3c00530</a>.","ama":"Grisard S, Trifonov AV, Rose H, et al. Temporal Sorting of Optical Multiwave-Mixing Processes in Semiconductor Quantum Dots. <i>ACS Photonics</i>. 2023;10(9):3161-3170. doi:<a href=\"https://doi.org/10.1021/acsphotonics.3c00530\">10.1021/acsphotonics.3c00530</a>"}},{"issue":"1","publication_identifier":{"issn":["2469-9926","2469-9934"]},"publication_status":"published","intvolume":"       107","citation":{"chicago":"Rose, Hendrik, A. N. Vasil’ev, O. V. Tikhonova, Torsten Meier, and Polina Sharapova. “Quantum-Optical Excitations of Semiconductor Nanostructures in a Microcavity Using a Two-Band Model and a Single-Mode Quantum Field.” <i>Physical Review A</i> 107, no. 1 (2023). <a href=\"https://doi.org/10.1103/physreva.107.013703\">https://doi.org/10.1103/physreva.107.013703</a>.","ieee":"H. Rose, A. N. Vasil’ev, O. V. Tikhonova, T. Meier, and P. Sharapova, “Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field,” <i>Physical Review A</i>, vol. 107, no. 1, Art. no. 013703, 2023, doi: <a href=\"https://doi.org/10.1103/physreva.107.013703\">10.1103/physreva.107.013703</a>.","ama":"Rose H, Vasil’ev AN, Tikhonova OV, Meier T, Sharapova P. Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field. <i>Physical Review A</i>. 2023;107(1). doi:<a href=\"https://doi.org/10.1103/physreva.107.013703\">10.1103/physreva.107.013703</a>","bibtex":"@article{Rose_Vasil’ev_Tikhonova_Meier_Sharapova_2023, title={Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field}, volume={107}, DOI={<a href=\"https://doi.org/10.1103/physreva.107.013703\">10.1103/physreva.107.013703</a>}, number={1013703}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Rose, Hendrik and Vasil’ev, A. N. and Tikhonova, O. V. and Meier, Torsten and Sharapova, Polina}, year={2023} }","mla":"Rose, Hendrik, et al. “Quantum-Optical Excitations of Semiconductor Nanostructures in a Microcavity Using a Two-Band Model and a Single-Mode Quantum Field.” <i>Physical Review A</i>, vol. 107, no. 1, 013703, American Physical Society (APS), 2023, doi:<a href=\"https://doi.org/10.1103/physreva.107.013703\">10.1103/physreva.107.013703</a>.","short":"H. Rose, A.N. Vasil’ev, O.V. Tikhonova, T. Meier, P. Sharapova, Physical Review A 107 (2023).","apa":"Rose, H., Vasil’ev, A. N., Tikhonova, O. V., Meier, T., &#38; Sharapova, P. (2023). Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field. <i>Physical Review A</i>, <i>107</i>(1), Article 013703. <a href=\"https://doi.org/10.1103/physreva.107.013703\">https://doi.org/10.1103/physreva.107.013703</a>"},"year":"2023","volume":107,"date_created":"2023-01-18T10:27:21Z","author":[{"first_name":"Hendrik","last_name":"Rose","orcid":"0000-0002-3079-5428","full_name":"Rose, Hendrik","id":"55958"},{"first_name":"A. N.","full_name":"Vasil'ev, A. N.","last_name":"Vasil'ev"},{"full_name":"Tikhonova, O. V.","last_name":"Tikhonova","first_name":"O. V."},{"first_name":"Torsten","full_name":"Meier, Torsten","id":"344","last_name":"Meier","orcid":"0000-0001-8864-2072"},{"first_name":"Polina","full_name":"Sharapova, Polina","id":"60286","last_name":"Sharapova"}],"date_updated":"2023-04-21T11:06:33Z","publisher":"American Physical Society (APS)","doi":"10.1103/physreva.107.013703","title":"Quantum-optical excitations of semiconductor nanostructures in a microcavity using a two-band model and a single-mode quantum field","publication":"Physical Review A","type":"journal_article","status":"public","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"230"},{"_id":"623"},{"_id":"35"}],"user_id":"16199","_id":"37280","project":[{"name":"TRR 142: TRR 142","_id":"53"},{"_id":"54","name":"TRR 142 - A: TRR 142 - Project Area A"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"59","name":"TRR 142 - A02: TRR 142 - Subproject A02"}],"language":[{"iso":"eng"}],"article_number":"013703"},{"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2302.02480"}],"title":"Temporal sorting of optical multi-wave-mixing processes in semiconductor quantum dots","author":[{"last_name":"Meier","orcid":"0000-0001-8864-2072","full_name":"Meier, Torsten","id":"344","first_name":"Torsten"},{"first_name":"S.","full_name":"Grisard, S.","last_name":"Grisard"},{"full_name":"Trifonov, A.V.","last_name":"Trifonov","first_name":"A.V."},{"first_name":"Hendrik","orcid":"0000-0002-3079-5428","last_name":"Rose","full_name":"Rose, Hendrik","id":"55958"},{"first_name":"R.","full_name":"Reichhardt, R.","last_name":"Reichhardt"},{"full_name":"Reichelt, Matthias","id":"138","last_name":"Reichelt","first_name":"Matthias"},{"last_name":"Schneider","full_name":"Schneider, C.","first_name":"C."},{"last_name":"Kamp","full_name":"Kamp, M.","first_name":"M."},{"first_name":"S.","full_name":"Höfling, S.","last_name":"Höfling"},{"first_name":"M.","full_name":"Bayer, M.","last_name":"Bayer"},{"first_name":"I.A","full_name":"Akimov, I.A","last_name":"Akimov"}],"date_created":"2023-03-28T12:45:46Z","date_updated":"2023-04-20T14:45:05Z","oa":"1","citation":{"chicago":"Meier, Torsten, S. Grisard, A.V. Trifonov, Hendrik Rose, R. Reichhardt, Matthias Reichelt, C. Schneider, et al. “Temporal Sorting of Optical Multi-Wave-Mixing Processes in Semiconductor Quantum Dots.” <i>Arxiv:2302.02480</i>, 2023.","ieee":"T. Meier <i>et al.</i>, “Temporal sorting of optical multi-wave-mixing processes in semiconductor quantum dots,” <i>arxiv:2302.02480</i>. 2023.","ama":"Meier T, Grisard S, Trifonov AV, et al. Temporal sorting of optical multi-wave-mixing processes in semiconductor quantum dots. <i>arxiv:230202480</i>. Published online 2023.","apa":"Meier, T., Grisard, S., Trifonov, A. V., Rose, H., Reichhardt, R., Reichelt, M., Schneider, C., Kamp, M., Höfling, S., Bayer, M., &#38; Akimov, I. A. (2023). Temporal sorting of optical multi-wave-mixing processes in semiconductor quantum dots. In <i>arxiv:2302.02480</i>.","short":"T. Meier, S. Grisard, A.V. Trifonov, H. Rose, R. Reichhardt, M. Reichelt, C. Schneider, M. Kamp, S. Höfling, M. Bayer, I.A. Akimov, Arxiv:2302.02480 (2023).","mla":"Meier, Torsten, et al. “Temporal Sorting of Optical Multi-Wave-Mixing Processes in Semiconductor Quantum Dots.” <i>Arxiv:2302.02480</i>, 2023.","bibtex":"@article{Meier_Grisard_Trifonov_Rose_Reichhardt_Reichelt_Schneider_Kamp_Höfling_Bayer_et al._2023, title={Temporal sorting of optical multi-wave-mixing processes in semiconductor quantum dots}, journal={arxiv:2302.02480}, author={Meier, Torsten and Grisard, S. and Trifonov, A.V. and Rose, Hendrik and Reichhardt, R. and Reichelt, Matthias and Schneider, C. and Kamp, M. and Höfling, S. and Bayer, M. and et al.}, year={2023} }"},"year":"2023","language":[{"iso":"eng"}],"user_id":"16199","department":[{"_id":"293"},{"_id":"35"},{"_id":"15"},{"_id":"170"},{"_id":"230"},{"_id":"429"}],"project":[{"_id":"53","name":"TRR 142: TRR 142"},{"_id":"54","name":"TRR 142 - A: TRR 142 - Project Area A"},{"_id":"59","name":"TRR 142 - A02: TRR 142 - Subproject A02"},{"_id":"165","name":"TRR 142 - A10: TRR 142 - Subproject A10"}],"_id":"43132","status":"public","type":"preprint","publication":"arxiv:2302.02480"},{"publication":"Ultrafast Phenomena and Nanophotonics XXVII","abstract":[{"lang":"eng","text":"The nonlinear optical response of an ensemble of semiconductor quantum dots is analyzed by wave-mixing processes, where we focus on four-wave mixing with two incident pulses. Wave-mixing experiments are often described with semiclassical models, where the light is modeled classically and the material quantum mechanically. Here, however, we use a fully quantized model, where the light is given by a quantum state of light. Quantum light involves more degrees of freedom than classical light as e.g., its photon statistics and quantum correlations, which is a promising resource for quantum devices, such as quantum memories. The light-matter interaction is treated with a Jaynes-Cummings type model and the quantum field is given by a single mode since the quantum dots are embedded in a microcavity. We present numerical simulations of the four-wave-mixing response of a homogeneous system for pulse sequences and find a significant dependence of the result on the photon statistics of the incident pulses. The model constitutes a problem with a large state space which arises from the frequency distribution of the transition energies of the inhomogeneously broadened quantum dot ensemble that is coupled with a quantum light mode. Here we approximate the dynamics by summing over individual quantum dot-microcavity systems. Photon echoes arising from the excitation with different quantum states of light are simulated and compared."}],"language":[{"iso":"eng"}],"year":"2023","date_created":"2023-03-29T20:28:20Z","publisher":"SPIE","title":"Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light","type":"conference","status":"public","department":[{"_id":"293"},{"_id":"35"},{"_id":"15"},{"_id":"170"},{"_id":"429"},{"_id":"230"},{"_id":"623"}],"series_title":"SPIE Proceedings","user_id":"55958","_id":"43192","project":[{"grant_number":"231447078","name":"TRR 142: TRR 142","_id":"53"},{"_id":"54","name":"TRR 142 - A: TRR 142 - Project Area A"},{"grant_number":"231447078","name":"TRR 142 - A02: TRR 142 - Subproject A02","_id":"59"},{"grant_number":"231447078","_id":"165","name":"TRR 142 - A10: TRR 142 - Subproject A10"}],"article_number":"124190H","publication_status":"published","intvolume":"     12419","citation":{"ama":"Rose H, Grisard S, Trifonov AV, et al. Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light. In: <i>Ultrafast Phenomena and Nanophotonics XXVII</i>. Vol 12419. SPIE Proceedings. SPIE; 2023. doi:<a href=\"https://doi.org/10.1117/12.2647700\">10.1117/12.2647700</a>","apa":"Rose, H., Grisard, S., Trifonov, A. V., Reichhardt, R., Reichelt, M., Bayer, M., Akimov, I. A., &#38; Meier, T. (2023). Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light. <i>Ultrafast Phenomena and Nanophotonics XXVII</i>, <i>12419</i>, Article 124190H. <a href=\"https://doi.org/10.1117/12.2647700\">https://doi.org/10.1117/12.2647700</a>","short":"H. Rose, S. Grisard, A.V. Trifonov, R. Reichhardt, M. Reichelt, M. Bayer, I.A. Akimov, T. Meier, in: Ultrafast Phenomena and Nanophotonics XXVII, SPIE, 2023.","mla":"Rose, Hendrik, et al. “Theoretical Analysis of Four-Wave Mixing on Semiconductor Quantum Dot Ensembles with Quantum Light.” <i>Ultrafast Phenomena and Nanophotonics XXVII</i>, vol. 12419, 124190H, SPIE, 2023, doi:<a href=\"https://doi.org/10.1117/12.2647700\">10.1117/12.2647700</a>.","bibtex":"@inproceedings{Rose_Grisard_Trifonov_Reichhardt_Reichelt_Bayer_Akimov_Meier_2023, series={SPIE Proceedings}, title={Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light}, volume={12419}, DOI={<a href=\"https://doi.org/10.1117/12.2647700\">10.1117/12.2647700</a>}, number={124190H}, booktitle={Ultrafast Phenomena and Nanophotonics XXVII}, publisher={SPIE}, author={Rose, Hendrik and Grisard, S. and Trifonov, A. V. and Reichhardt, R. and Reichelt, Matthias and Bayer, M. and Akimov, I. A.  and Meier, Torsten}, year={2023}, collection={SPIE Proceedings} }","chicago":"Rose, Hendrik, S. Grisard, A. V. Trifonov, R. Reichhardt, Matthias Reichelt, M. Bayer, I. A.  Akimov, and Torsten Meier. “Theoretical Analysis of Four-Wave Mixing on Semiconductor Quantum Dot Ensembles with Quantum Light.” In <i>Ultrafast Phenomena and Nanophotonics XXVII</i>, Vol. 12419. SPIE Proceedings. SPIE, 2023. <a href=\"https://doi.org/10.1117/12.2647700\">https://doi.org/10.1117/12.2647700</a>.","ieee":"H. Rose <i>et al.</i>, “Theoretical analysis of four-wave mixing on semiconductor quantum dot ensembles with quantum light,” in <i>Ultrafast Phenomena and Nanophotonics XXVII</i>, 2023, vol. 12419, doi: <a href=\"https://doi.org/10.1117/12.2647700\">10.1117/12.2647700</a>."},"volume":12419,"author":[{"id":"55958","full_name":"Rose, Hendrik","orcid":"0000-0002-3079-5428","last_name":"Rose","first_name":"Hendrik"},{"first_name":"S.","full_name":"Grisard, S.","last_name":"Grisard"},{"last_name":"Trifonov","full_name":"Trifonov, A. V.","first_name":"A. V."},{"first_name":"R.","full_name":"Reichhardt, R.","last_name":"Reichhardt"},{"first_name":"Matthias","full_name":"Reichelt, Matthias","id":"138","last_name":"Reichelt"},{"last_name":"Bayer","full_name":"Bayer, M.","first_name":"M."},{"last_name":"Akimov","full_name":"Akimov, I. A. ","first_name":"I. A. "},{"first_name":"Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","full_name":"Meier, Torsten","id":"344"}],"date_updated":"2023-06-16T17:54:41Z","doi":"10.1117/12.2647700"},{"publication_identifier":{"issn":["1367-2630"]},"publication_status":"published","issue":"6","year":"2022","intvolume":"        24","citation":{"short":"H. Rose, O.V. Tikhonova, T. Meier, P. Sharapova, New Journal of Physics 24 (2022).","mla":"Rose, Hendrik, et al. “Steady States of Λ-Type Three-Level Systems Excited by Quantum Light with Various Photon Statistics in Lossy Cavities.” <i>New Journal of Physics</i>, vol. 24, no. 6, 063020, IOP Publishing, 2022, doi:<a href=\"https://doi.org/10.1088/1367-2630/ac74d8\">10.1088/1367-2630/ac74d8</a>.","bibtex":"@article{Rose_Tikhonova_Meier_Sharapova_2022, title={Steady states of Λ-type three-level systems excited by quantum light with various photon statistics in lossy cavities}, volume={24}, DOI={<a href=\"https://doi.org/10.1088/1367-2630/ac74d8\">10.1088/1367-2630/ac74d8</a>}, number={6063020}, journal={New Journal of Physics}, publisher={IOP Publishing}, author={Rose, Hendrik and Tikhonova, O V and Meier, Torsten and Sharapova, Polina}, year={2022} }","apa":"Rose, H., Tikhonova, O. V., Meier, T., &#38; Sharapova, P. (2022). Steady states of Λ-type three-level systems excited by quantum light with various photon statistics in lossy cavities. <i>New Journal of Physics</i>, <i>24</i>(6), Article 063020. <a href=\"https://doi.org/10.1088/1367-2630/ac74d8\">https://doi.org/10.1088/1367-2630/ac74d8</a>","ama":"Rose H, Tikhonova OV, Meier T, Sharapova P. Steady states of Λ-type three-level systems excited by quantum light with various photon statistics in lossy cavities. <i>New Journal of Physics</i>. 2022;24(6). doi:<a href=\"https://doi.org/10.1088/1367-2630/ac74d8\">10.1088/1367-2630/ac74d8</a>","ieee":"H. Rose, O. V. Tikhonova, T. Meier, and P. Sharapova, “Steady states of Λ-type three-level systems excited by quantum light with various photon statistics in lossy cavities,” <i>New Journal of Physics</i>, vol. 24, no. 6, Art. no. 063020, 2022, doi: <a href=\"https://doi.org/10.1088/1367-2630/ac74d8\">10.1088/1367-2630/ac74d8</a>.","chicago":"Rose, Hendrik, O V Tikhonova, Torsten Meier, and Polina Sharapova. “Steady States of Λ-Type Three-Level Systems Excited by Quantum Light with Various Photon Statistics in Lossy Cavities.” <i>New Journal of Physics</i> 24, no. 6 (2022). <a href=\"https://doi.org/10.1088/1367-2630/ac74d8\">https://doi.org/10.1088/1367-2630/ac74d8</a>."},"date_updated":"2023-04-20T14:51:09Z","publisher":"IOP Publishing","volume":24,"date_created":"2023-01-18T10:56:13Z","author":[{"first_name":"Hendrik","orcid":"0000-0002-3079-5428","last_name":"Rose","full_name":"Rose, Hendrik","id":"55958"},{"first_name":"O V","full_name":"Tikhonova, O V","last_name":"Tikhonova"},{"first_name":"Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072","id":"344","full_name":"Meier, Torsten"},{"first_name":"Polina","id":"60286","full_name":"Sharapova, Polina","last_name":"Sharapova"}],"title":"Steady states of Λ-type three-level systems excited by quantum light with various photon statistics in lossy cavities","doi":"10.1088/1367-2630/ac74d8","publication":"New Journal of Physics","type":"journal_article","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>The interaction between quantum light and matter is being intensively studied for systems that are enclosed in high-<jats:italic>Q</jats:italic> cavities which strongly enhance the light–matter coupling. Cavities with low <jats:italic>Q</jats:italic>-factors are generally given less attention due to their high losses that quickly destroy quantum systems. However, bad cavities can be utilized for several applications, where lower <jats:italic>Q</jats:italic>-factors are required, e.g., to increase the spectral width of the cavity mode. In this work, we demonstrate that low-<jats:italic>Q</jats:italic> cavities can be beneficial for preparing specific electronic steady states when certain quantum states of light are applied. We investigate the interaction between quantum light with various statistics and matter represented by a Λ-type three-level system in lossy cavities, assuming that cavity losses are the dominant loss mechanism. We show that cavity losses lead to non-trivial electronic steady states that can be controlled by the loss rate and the initial statistics of the quantum fields. We discuss the mechanism of the formation of such steady states on the basis of the equations of motion and present both analytical expressions and numerical simulations for such steady states.</jats:p>"}],"status":"public","_id":"37318","project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"230"},{"_id":"623"},{"_id":"35"}],"user_id":"16199","keyword":["General Physics and Astronomy"],"article_number":"063020","language":[{"iso":"eng"}]},{"citation":{"bibtex":"@article{Grisard_Rose_Trifonov_Reichhardt_Reiter_Reichelt_Schneider_Kamp_Höfling_Bayer_et al._2022, title={Multiple Rabi rotations of trions in InGaAs quantum dots observed by photon echo spectroscopy with spatially shaped laser pulses}, volume={106}, DOI={<a href=\"https://doi.org/10.1103/physrevb.106.205408\">10.1103/physrevb.106.205408</a>}, number={20205408}, journal={Physical Review B}, publisher={American Physical Society (APS)}, author={Grisard, S. and Rose, Hendrik and Trifonov, A. V. and Reichhardt, R. and Reiter, D. E. and Reichelt, Matthias and Schneider, C. and Kamp, M. and Höfling, S. and Bayer, M. and et al.}, year={2022} }","short":"S. Grisard, H. Rose, A.V. Trifonov, R. Reichhardt, D.E. Reiter, M. Reichelt, C. Schneider, M. Kamp, S. Höfling, M. Bayer, T. Meier, I.A. Akimov, Physical Review B 106 (2022).","mla":"Grisard, S., et al. “Multiple Rabi Rotations of Trions in InGaAs Quantum Dots Observed by Photon Echo Spectroscopy with Spatially Shaped Laser Pulses.” <i>Physical Review B</i>, vol. 106, no. 20, 205408, American Physical Society (APS), 2022, doi:<a href=\"https://doi.org/10.1103/physrevb.106.205408\">10.1103/physrevb.106.205408</a>.","apa":"Grisard, S., Rose, H., Trifonov, A. V., Reichhardt, R., Reiter, D. E., Reichelt, M., Schneider, C., Kamp, M., Höfling, S., Bayer, M., Meier, T., &#38; Akimov, I. A. (2022). Multiple Rabi rotations of trions in InGaAs quantum dots observed by photon echo spectroscopy with spatially shaped laser pulses. <i>Physical Review B</i>, <i>106</i>(20), Article 205408. <a href=\"https://doi.org/10.1103/physrevb.106.205408\">https://doi.org/10.1103/physrevb.106.205408</a>","ieee":"S. Grisard <i>et al.</i>, “Multiple Rabi rotations of trions in InGaAs quantum dots observed by photon echo spectroscopy with spatially shaped laser pulses,” <i>Physical Review B</i>, vol. 106, no. 20, Art. no. 205408, 2022, doi: <a href=\"https://doi.org/10.1103/physrevb.106.205408\">10.1103/physrevb.106.205408</a>.","chicago":"Grisard, S., Hendrik Rose, A. V. Trifonov, R. Reichhardt, D. E. Reiter, Matthias Reichelt, C. Schneider, et al. “Multiple Rabi Rotations of Trions in InGaAs Quantum Dots Observed by Photon Echo Spectroscopy with Spatially Shaped Laser Pulses.” <i>Physical Review B</i> 106, no. 20 (2022). <a href=\"https://doi.org/10.1103/physrevb.106.205408\">https://doi.org/10.1103/physrevb.106.205408</a>.","ama":"Grisard S, Rose H, Trifonov AV, et al. Multiple Rabi rotations of trions in InGaAs quantum dots observed by photon echo spectroscopy with spatially shaped laser pulses. <i>Physical Review B</i>. 2022;106(20). doi:<a href=\"https://doi.org/10.1103/physrevb.106.205408\">10.1103/physrevb.106.205408</a>"},"intvolume":"       106","publication_status":"published","publication_identifier":{"issn":["2469-9950","2469-9969"]},"doi":"10.1103/physrevb.106.205408","date_updated":"2023-04-20T14:53:19Z","author":[{"first_name":"S.","full_name":"Grisard, S.","last_name":"Grisard"},{"first_name":"Hendrik","id":"55958","full_name":"Rose, Hendrik","orcid":"0000-0002-3079-5428","last_name":"Rose"},{"first_name":"A. V.","full_name":"Trifonov, A. V.","last_name":"Trifonov"},{"first_name":"R.","last_name":"Reichhardt","full_name":"Reichhardt, R."},{"last_name":"Reiter","full_name":"Reiter, D. E.","first_name":"D. E."},{"last_name":"Reichelt","id":"138","full_name":"Reichelt, Matthias","first_name":"Matthias"},{"full_name":"Schneider, C.","last_name":"Schneider","first_name":"C."},{"first_name":"M.","last_name":"Kamp","full_name":"Kamp, M."},{"first_name":"S.","last_name":"Höfling","full_name":"Höfling, S."},{"full_name":"Bayer, M.","last_name":"Bayer","first_name":"M."},{"full_name":"Meier, Torsten","id":"344","orcid":"0000-0001-8864-2072","last_name":"Meier","first_name":"Torsten"},{"full_name":"Akimov, I. A.","last_name":"Akimov","first_name":"I. A."}],"volume":106,"status":"public","type":"journal_article","article_number":"205408","project":[{"name":"TRR 142: TRR 142","_id":"53"},{"name":"TRR 142 - A: TRR 142 - Project Area A","_id":"54"},{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"_id":"37319","user_id":"16199","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"},{"_id":"623"},{"_id":"35"},{"_id":"429"}],"year":"2022","issue":"20","title":"Multiple Rabi rotations of trions in InGaAs quantum dots observed by photon echo spectroscopy with spatially shaped laser pulses","publisher":"American Physical Society (APS)","date_created":"2023-01-18T10:58:12Z","publication":"Physical Review B","language":[{"iso":"eng"}]},{"publication":"Ultrafast Phenomena and Nanophotonics XXVI","type":"conference","status":"public","editor":[{"first_name":"Markus","full_name":"Betz, Markus","last_name":"Betz"},{"last_name":"Elezzabi","full_name":"Elezzabi, Abdulhakem Y.","first_name":"Abdulhakem Y."}],"department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"230"},{"_id":"623"},{"_id":"35"}],"user_id":"16199","series_title":"SPIE Proceedings","_id":"37327","project":[{"_id":"52","name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing"}],"language":[{"iso":"eng"}],"publication_status":"published","intvolume":"     11999","citation":{"chicago":"Rose, Hendrik, Olga V. Tikhonova, Torsten Meier, and Polina Sharapova. “Theoretical Analysis of Correlations between Two Quantum Fields Exciting a Three-Level System Using the Cluster-Expansion Approach.” In <i>Ultrafast Phenomena and Nanophotonics XXVI</i>, edited by Markus Betz and Abdulhakem Y. Elezzabi, Vol. 11999. SPIE Proceedings, 2022. <a href=\"https://doi.org/10.1117/12.2608528\">https://doi.org/10.1117/12.2608528</a>.","ieee":"H. Rose, O. V. Tikhonova, T. Meier, and P. Sharapova, “Theoretical analysis of correlations between two quantum fields exciting a three-level system using the cluster-expansion approach,” in <i>Ultrafast Phenomena and Nanophotonics XXVI</i>, 2022, vol. 11999, doi: <a href=\"https://doi.org/10.1117/12.2608528\">10.1117/12.2608528</a>.","ama":"Rose H, Tikhonova OV, Meier T, Sharapova P. Theoretical analysis of correlations between two quantum fields exciting a three-level system using the cluster-expansion approach. In: Betz M, Elezzabi AY, eds. <i>Ultrafast Phenomena and Nanophotonics XXVI</i>. Vol 11999. SPIE Proceedings. ; 2022. doi:<a href=\"https://doi.org/10.1117/12.2608528\">10.1117/12.2608528</a>","apa":"Rose, H., Tikhonova, O. V., Meier, T., &#38; Sharapova, P. (2022). Theoretical analysis of correlations between two quantum fields exciting a three-level system using the cluster-expansion approach. In M. Betz &#38; A. Y. Elezzabi (Eds.), <i>Ultrafast Phenomena and Nanophotonics XXVI</i> (Vol. 11999). <a href=\"https://doi.org/10.1117/12.2608528\">https://doi.org/10.1117/12.2608528</a>","short":"H. Rose, O.V. Tikhonova, T. Meier, P. Sharapova, in: M. Betz, A.Y. Elezzabi (Eds.), Ultrafast Phenomena and Nanophotonics XXVI, 2022.","mla":"Rose, Hendrik, et al. “Theoretical Analysis of Correlations between Two Quantum Fields Exciting a Three-Level System Using the Cluster-Expansion Approach.” <i>Ultrafast Phenomena and Nanophotonics XXVI</i>, edited by Markus Betz and Abdulhakem Y. Elezzabi, vol. 11999, 2022, doi:<a href=\"https://doi.org/10.1117/12.2608528\">10.1117/12.2608528</a>.","bibtex":"@inproceedings{Rose_Tikhonova_Meier_Sharapova_2022, series={SPIE Proceedings}, title={Theoretical analysis of correlations between two quantum fields exciting a three-level system using the cluster-expansion approach}, volume={11999}, DOI={<a href=\"https://doi.org/10.1117/12.2608528\">10.1117/12.2608528</a>}, booktitle={Ultrafast Phenomena and Nanophotonics XXVI}, author={Rose, Hendrik and Tikhonova, Olga V. and Meier, Torsten and Sharapova, Polina}, editor={Betz, Markus and Elezzabi, Abdulhakem Y.}, year={2022}, collection={SPIE Proceedings} }"},"year":"2022","volume":11999,"author":[{"first_name":"Hendrik","orcid":"0000-0002-3079-5428","last_name":"Rose","id":"55958","full_name":"Rose, Hendrik"},{"full_name":"Tikhonova, Olga V.","last_name":"Tikhonova","first_name":"Olga V."},{"last_name":"Meier","orcid":"0000-0001-8864-2072","id":"344","full_name":"Meier, Torsten","first_name":"Torsten"},{"last_name":"Sharapova","full_name":"Sharapova, Polina","id":"60286","first_name":"Polina"}],"date_created":"2023-01-18T11:19:54Z","date_updated":"2023-04-20T14:51:31Z","doi":"10.1117/12.2608528","title":"Theoretical analysis of correlations between two quantum fields exciting a three-level system using the cluster-expansion approach"},{"article_number":"115307","language":[{"iso":"eng"}],"project":[{"_id":"53","name":"TRR 142: TRR 142"},{"_id":"54","name":"TRR 142 - A: TRR 142 - Project Area A"},{"name":"PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"},{"_id":"59","name":"TRR 142 - A02: TRR 142 - Subproject A02"}],"_id":"37323","user_id":"16199","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"230"},{"_id":"429"},{"_id":"35"}],"status":"public","type":"journal_article","publication":"Physical Review B","title":"Coherent contributions to population dynamics in a semiconductor microcavity","doi":"10.1103/physrevb.105.115307","date_updated":"2023-04-20T14:50:24Z","publisher":"American Physical Society (APS)","date_created":"2023-01-18T11:10:42Z","author":[{"first_name":"J.","full_name":"Paul, J.","last_name":"Paul"},{"last_name":"Rose","orcid":"0000-0002-3079-5428","full_name":"Rose, Hendrik","id":"55958","first_name":"Hendrik"},{"last_name":"Swagel","full_name":"Swagel, E.","first_name":"E."},{"full_name":"Meier, Torsten","id":"344","last_name":"Meier","orcid":"0000-0001-8864-2072","first_name":"Torsten"},{"first_name":"J. K.","full_name":"Wahlstrand, J. K.","last_name":"Wahlstrand"},{"first_name":"A. D.","full_name":"Bristow, A. D.","last_name":"Bristow"}],"volume":105,"year":"2022","citation":{"ama":"Paul J, Rose H, Swagel E, Meier T, Wahlstrand JK, Bristow AD. Coherent contributions to population dynamics in a semiconductor microcavity. <i>Physical Review B</i>. 2022;105(11). doi:<a href=\"https://doi.org/10.1103/physrevb.105.115307\">10.1103/physrevb.105.115307</a>","chicago":"Paul, J., Hendrik Rose, E. Swagel, Torsten Meier, J. K. Wahlstrand, and A. D. Bristow. “Coherent Contributions to Population Dynamics in a Semiconductor Microcavity.” <i>Physical Review B</i> 105, no. 11 (2022). <a href=\"https://doi.org/10.1103/physrevb.105.115307\">https://doi.org/10.1103/physrevb.105.115307</a>.","ieee":"J. Paul, H. Rose, E. Swagel, T. Meier, J. K. Wahlstrand, and A. D. Bristow, “Coherent contributions to population dynamics in a semiconductor microcavity,” <i>Physical Review B</i>, vol. 105, no. 11, Art. no. 115307, 2022, doi: <a href=\"https://doi.org/10.1103/physrevb.105.115307\">10.1103/physrevb.105.115307</a>.","apa":"Paul, J., Rose, H., Swagel, E., Meier, T., Wahlstrand, J. K., &#38; Bristow, A. D. (2022). Coherent contributions to population dynamics in a semiconductor microcavity. <i>Physical Review B</i>, <i>105</i>(11), Article 115307. <a href=\"https://doi.org/10.1103/physrevb.105.115307\">https://doi.org/10.1103/physrevb.105.115307</a>","bibtex":"@article{Paul_Rose_Swagel_Meier_Wahlstrand_Bristow_2022, title={Coherent contributions to population dynamics in a semiconductor microcavity}, volume={105}, DOI={<a href=\"https://doi.org/10.1103/physrevb.105.115307\">10.1103/physrevb.105.115307</a>}, number={11115307}, journal={Physical Review B}, publisher={American Physical Society (APS)}, author={Paul, J. and Rose, Hendrik and Swagel, E. and Meier, Torsten and Wahlstrand, J. K. and Bristow, A. D.}, year={2022} }","mla":"Paul, J., et al. “Coherent Contributions to Population Dynamics in a Semiconductor Microcavity.” <i>Physical Review B</i>, vol. 105, no. 11, 115307, American Physical Society (APS), 2022, doi:<a href=\"https://doi.org/10.1103/physrevb.105.115307\">10.1103/physrevb.105.115307</a>.","short":"J. Paul, H. Rose, E. Swagel, T. Meier, J.K. Wahlstrand, A.D. Bristow, Physical Review B 105 (2022)."},"intvolume":"       105","publication_status":"published","publication_identifier":{"issn":["2469-9950","2469-9969"]},"issue":"11"},{"department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"}],"user_id":"16199","_id":"54403","type":"research_data","status":"public","abstract":[{"lang":"eng","text":"Dataset of the publication “Theoretical analysis and simulations of two-dimensional Fourier transform spectroscopy performed on exciton-polaritons of a quantum-well microcavity system“, H. Rose, J. Paul, J. K. Wahlstrand, A. Bristow, and T. Meier, Proceedings of the SPIE 11684, 1168414 (2021) ( https://doi.org/10.1117/12.2576696 ). The zip file includes the data on which the plots shown in figure 2 are based."}],"date_created":"2024-05-21T14:29:29Z","author":[{"first_name":"Hendrik","id":"55958","full_name":"Rose, Hendrik","last_name":"Rose","orcid":"0000-0002-3079-5428"},{"last_name":"Paul","full_name":"Paul, Jagannath","first_name":"Jagannath"},{"last_name":"Wahlstrand","full_name":"Wahlstrand, Jared K.","first_name":"Jared K."},{"full_name":"Bristow, Alan D.","last_name":"Bristow","first_name":"Alan D."},{"first_name":"Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","full_name":"Meier, Torsten","id":"344"}],"publisher":"LibreCat University","date_updated":"2024-07-15T09:34:20Z","doi":"10.5281/ZENODO.5153619","title":"Theoretical analysis and simulations of two-dimensional Fourier transform spectroscopy performed on exciton-polaritons of a quantum-well microcavity system","citation":{"ama":"Rose H, Paul J, Wahlstrand JK, Bristow AD, Meier T. <i>Theoretical Analysis and Simulations of Two-Dimensional Fourier Transform Spectroscopy Performed on Exciton-Polaritons of a Quantum-Well Microcavity System</i>. LibreCat University; 2021. doi:<a href=\"https://doi.org/10.5281/ZENODO.5153619\">10.5281/ZENODO.5153619</a>","chicago":"Rose, Hendrik, Jagannath Paul, Jared K. Wahlstrand, Alan D. Bristow, and Torsten Meier. <i>Theoretical Analysis and Simulations of Two-Dimensional Fourier Transform Spectroscopy Performed on Exciton-Polaritons of a Quantum-Well Microcavity System</i>. LibreCat University, 2021. <a href=\"https://doi.org/10.5281/ZENODO.5153619\">https://doi.org/10.5281/ZENODO.5153619</a>.","ieee":"H. Rose, J. Paul, J. K. Wahlstrand, A. D. Bristow, and T. Meier, <i>Theoretical analysis and simulations of two-dimensional Fourier transform spectroscopy performed on exciton-polaritons of a quantum-well microcavity system</i>. LibreCat University, 2021.","bibtex":"@book{Rose_Paul_Wahlstrand_Bristow_Meier_2021, title={Theoretical analysis and simulations of two-dimensional Fourier transform spectroscopy performed on exciton-polaritons of a quantum-well microcavity system}, DOI={<a href=\"https://doi.org/10.5281/ZENODO.5153619\">10.5281/ZENODO.5153619</a>}, publisher={LibreCat University}, author={Rose, Hendrik and Paul, Jagannath and Wahlstrand, Jared K. and Bristow, Alan D. and Meier, Torsten}, year={2021} }","mla":"Rose, Hendrik, et al. <i>Theoretical Analysis and Simulations of Two-Dimensional Fourier Transform Spectroscopy Performed on Exciton-Polaritons of a Quantum-Well Microcavity System</i>. LibreCat University, 2021, doi:<a href=\"https://doi.org/10.5281/ZENODO.5153619\">10.5281/ZENODO.5153619</a>.","short":"H. Rose, J. Paul, J.K. Wahlstrand, A.D. Bristow, T. Meier, Theoretical Analysis and Simulations of Two-Dimensional Fourier Transform Spectroscopy Performed on Exciton-Polaritons of a Quantum-Well Microcavity System, LibreCat University, 2021.","apa":"Rose, H., Paul, J., Wahlstrand, J. K., Bristow, A. D., &#38; Meier, T. (2021). <i>Theoretical analysis and simulations of two-dimensional Fourier transform spectroscopy performed on exciton-polaritons of a quantum-well microcavity system</i>. LibreCat University. <a href=\"https://doi.org/10.5281/ZENODO.5153619\">https://doi.org/10.5281/ZENODO.5153619</a>"},"year":"2021"},{"department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"}],"user_id":"16199","_id":"54408","type":"research_data","status":"public","abstract":[{"lang":"eng","text":"Dataset of the publication “Accurate photon echo timing by optical freezing of exciton dephasing and rephasing in quantum dots“, ( https://doi.org/10.1038/s42005-020-00491-2 ). The zip file includes the data on which the plots shown in figures 2-5 of the main text, and supplementary figures S1-S5 are based."}],"date_created":"2024-05-21T14:35:51Z","author":[{"full_name":"Kosarev, Alexander","last_name":"Kosarev","first_name":"Alexander"},{"full_name":"Rose, Hendrik","id":"55958","orcid":"0000-0002-3079-5428","last_name":"Rose","first_name":"Hendrik"},{"full_name":"Poltavtsev, Sergey","last_name":"Poltavtsev","first_name":"Sergey"},{"first_name":"Matthias","last_name":"Reichelt","id":"138","full_name":"Reichelt, Matthias"},{"first_name":"Christian","full_name":"Schneider, Christian","last_name":"Schneider"},{"first_name":"Martin","last_name":"Kamp","full_name":"Kamp, Martin"},{"last_name":"Höfling","full_name":"Höfling, Sven","first_name":"Sven"},{"full_name":"Bayer, Manfred","last_name":"Bayer","first_name":"Manfred"},{"first_name":"Torsten","full_name":"Meier, Torsten","id":"344","orcid":"0000-0001-8864-2072","last_name":"Meier"},{"first_name":"Ilya","full_name":"Akimov, Ilya","last_name":"Akimov"}],"date_updated":"2024-07-15T09:35:51Z","publisher":"LibreCat University","doi":"10.5281/ZENODO.5226662","title":"Accurate photon echo timing by optical freezing of exciton dephasing and rephasing in quantum dots","citation":{"ama":"Kosarev A, Rose H, Poltavtsev S, et al. <i>Accurate Photon Echo Timing by Optical Freezing of Exciton Dephasing and Rephasing in Quantum Dots</i>. LibreCat University; 2021. doi:<a href=\"https://doi.org/10.5281/ZENODO.5226662\">10.5281/ZENODO.5226662</a>","ieee":"A. Kosarev <i>et al.</i>, <i>Accurate photon echo timing by optical freezing of exciton dephasing and rephasing in quantum dots</i>. LibreCat University, 2021.","chicago":"Kosarev, Alexander, Hendrik Rose, Sergey Poltavtsev, Matthias Reichelt, Christian Schneider, Martin Kamp, Sven Höfling, Manfred Bayer, Torsten Meier, and Ilya Akimov. <i>Accurate Photon Echo Timing by Optical Freezing of Exciton Dephasing and Rephasing in Quantum Dots</i>. LibreCat University, 2021. <a href=\"https://doi.org/10.5281/ZENODO.5226662\">https://doi.org/10.5281/ZENODO.5226662</a>.","mla":"Kosarev, Alexander, et al. <i>Accurate Photon Echo Timing by Optical Freezing of Exciton Dephasing and Rephasing in Quantum Dots</i>. LibreCat University, 2021, doi:<a href=\"https://doi.org/10.5281/ZENODO.5226662\">10.5281/ZENODO.5226662</a>.","short":"A. Kosarev, H. Rose, S. Poltavtsev, M. Reichelt, C. Schneider, M. Kamp, S. Höfling, M. Bayer, T. Meier, I. Akimov, Accurate Photon Echo Timing by Optical Freezing of Exciton Dephasing and Rephasing in Quantum Dots, LibreCat University, 2021.","bibtex":"@book{Kosarev_Rose_Poltavtsev_Reichelt_Schneider_Kamp_Höfling_Bayer_Meier_Akimov_2021, title={Accurate photon echo timing by optical freezing of exciton dephasing and rephasing in quantum dots}, DOI={<a href=\"https://doi.org/10.5281/ZENODO.5226662\">10.5281/ZENODO.5226662</a>}, publisher={LibreCat University}, author={Kosarev, Alexander and Rose, Hendrik and Poltavtsev, Sergey and Reichelt, Matthias and Schneider, Christian and Kamp, Martin and Höfling, Sven and Bayer, Manfred and Meier, Torsten and Akimov, Ilya}, year={2021} }","apa":"Kosarev, A., Rose, H., Poltavtsev, S., Reichelt, M., Schneider, C., Kamp, M., Höfling, S., Bayer, M., Meier, T., &#38; Akimov, I. (2021). <i>Accurate photon echo timing by optical freezing of exciton dephasing and rephasing in quantum dots</i>. LibreCat University. <a href=\"https://doi.org/10.5281/ZENODO.5226662\">https://doi.org/10.5281/ZENODO.5226662</a>"},"year":"2021"},{"type":"research_data","abstract":[{"lang":"eng","text":"Dataset of the publication “Controlling the emission time of photon echoes by optical freezing of exciton dephasing and rephasing in quantum-dot ensembles“, Proc. SPIE 11684,116840X (2021) ( https://doi.org/10.1117/12.2576887 ). The zip file includes the data on which the figures are based, the gnuplot files for the figures, and an explaining readme.txt."}],"status":"public","project":[{"name":"TRR 142 - A: TRR 142 - Project Area A","_id":"54"}],"_id":"54401","user_id":"16199","department":[{"_id":"15"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"},{"_id":"429"}],"year":"2021","citation":{"chicago":"Reichelt, Matthias, Hendrik Rose, Alexander N. Kosarev, Sergey V. Poltavtsev, Manfred Bayer, Ilya A. Akimov, Christian Schneider, Martin Kamp, Sven Höfling, and Torsten Meier. <i>Controlling the Emission Time of Photon Echoes by Optical Freezing of Exciton Dephasing and Rephasing in Quantum-Dot Ensembles</i>. LibreCat University, 2021. <a href=\"https://doi.org/10.5281/ZENODO.5226911\">https://doi.org/10.5281/ZENODO.5226911</a>.","ieee":"M. Reichelt <i>et al.</i>, <i>Controlling the emission time of photon echoes by optical freezing of exciton dephasing and rephasing in quantum-dot ensembles</i>. LibreCat University, 2021.","ama":"Reichelt M, Rose H, Kosarev AN, et al. <i>Controlling the Emission Time of Photon Echoes by Optical Freezing of Exciton Dephasing and Rephasing in Quantum-Dot Ensembles</i>. LibreCat University; 2021. doi:<a href=\"https://doi.org/10.5281/ZENODO.5226911\">10.5281/ZENODO.5226911</a>","mla":"Reichelt, Matthias, et al. <i>Controlling the Emission Time of Photon Echoes by Optical Freezing of Exciton Dephasing and Rephasing in Quantum-Dot Ensembles</i>. LibreCat University, 2021, doi:<a href=\"https://doi.org/10.5281/ZENODO.5226911\">10.5281/ZENODO.5226911</a>.","bibtex":"@book{Reichelt_Rose_Kosarev_Poltavtsev_Bayer_Akimov_Schneider_Kamp_Höfling_Meier_2021, title={Controlling the emission time of photon echoes by optical freezing of exciton dephasing and rephasing in quantum-dot ensembles}, DOI={<a href=\"https://doi.org/10.5281/ZENODO.5226911\">10.5281/ZENODO.5226911</a>}, publisher={LibreCat University}, author={Reichelt, Matthias and Rose, Hendrik and Kosarev, Alexander N. and Poltavtsev, Sergey V. and Bayer, Manfred and Akimov, Ilya A. and Schneider, Christian and Kamp, Martin and Höfling, Sven and Meier, Torsten}, year={2021} }","short":"M. Reichelt, H. Rose, A.N. Kosarev, S.V. Poltavtsev, M. Bayer, I.A. Akimov, C. Schneider, M. Kamp, S. Höfling, T. Meier, Controlling the Emission Time of Photon Echoes by Optical Freezing of Exciton Dephasing and Rephasing in Quantum-Dot Ensembles, LibreCat University, 2021.","apa":"Reichelt, M., Rose, H., Kosarev, A. N., Poltavtsev, S. V., Bayer, M., Akimov, I. A., Schneider, C., Kamp, M., Höfling, S., &#38; Meier, T. (2021). <i>Controlling the emission time of photon echoes by optical freezing of exciton dephasing and rephasing in quantum-dot ensembles</i>. LibreCat University. <a href=\"https://doi.org/10.5281/ZENODO.5226911\">https://doi.org/10.5281/ZENODO.5226911</a>"},"date_updated":"2024-07-15T09:36:00Z","publisher":"LibreCat University","author":[{"last_name":"Reichelt","full_name":"Reichelt, Matthias","id":"138","first_name":"Matthias"},{"first_name":"Hendrik","orcid":"0000-0002-3079-5428","last_name":"Rose","full_name":"Rose, Hendrik","id":"55958"},{"first_name":"Alexander N.","full_name":"Kosarev, Alexander N.","last_name":"Kosarev"},{"full_name":"Poltavtsev, Sergey V.","last_name":"Poltavtsev","first_name":"Sergey V."},{"first_name":"Manfred","full_name":"Bayer, Manfred","last_name":"Bayer"},{"first_name":"Ilya A.","full_name":"Akimov, Ilya A.","last_name":"Akimov"},{"full_name":"Schneider, Christian","last_name":"Schneider","first_name":"Christian"},{"last_name":"Kamp","full_name":"Kamp, Martin","first_name":"Martin"},{"last_name":"Höfling","full_name":"Höfling, Sven","first_name":"Sven"},{"first_name":"Torsten","id":"344","full_name":"Meier, Torsten","last_name":"Meier","orcid":"0000-0001-8864-2072"}],"date_created":"2024-05-21T14:25:20Z","title":"Controlling the emission time of photon echoes by optical freezing of exciton dephasing and rephasing in quantum-dot ensembles","doi":"10.5281/ZENODO.5226911"},{"doi":"10.5281/ZENODO.5774986","title":"Excitation of an electronic band structure by a single-photon Fock state","date_created":"2024-08-07T09:36:02Z","author":[{"last_name":"Rose","orcid":"0000-0002-3079-5428","id":"55958","full_name":"Rose, Hendrik","first_name":"Hendrik"},{"last_name":"Vasil'ev","full_name":"Vasil'ev, A.N.","first_name":"A.N."},{"full_name":"Tikhonova, O.V.","last_name":"Tikhonova","first_name":"O.V."},{"id":"344","full_name":"Meier, Torsten","orcid":"0000-0001-8864-2072","last_name":"Meier","first_name":"Torsten"},{"last_name":"Sharapova","full_name":"Sharapova, Polina R.","id":"60286","first_name":"Polina R."}],"date_updated":"2024-08-07T09:37:18Z","publisher":"LibreCat University","citation":{"ieee":"H. Rose, A. N. Vasil’ev, O. V. Tikhonova, T. Meier, and P. R. Sharapova, <i>Excitation of an electronic band structure by a single-photon Fock state</i>. LibreCat University, 2021.","chicago":"Rose, Hendrik, A.N. Vasil’ev, O.V. Tikhonova, Torsten Meier, and Polina R. Sharapova. <i>Excitation of an Electronic Band Structure by a Single-Photon Fock State</i>. LibreCat University, 2021. <a href=\"https://doi.org/10.5281/ZENODO.5774986\">https://doi.org/10.5281/ZENODO.5774986</a>.","ama":"Rose H, Vasil’ev AN, Tikhonova OV, Meier T, Sharapova PR. <i>Excitation of an Electronic Band Structure by a Single-Photon Fock State</i>. LibreCat University; 2021. doi:<a href=\"https://doi.org/10.5281/ZENODO.5774986\">10.5281/ZENODO.5774986</a>","apa":"Rose, H., Vasil’ev, A. N., Tikhonova, O. V., Meier, T., &#38; Sharapova, P. R. (2021). <i>Excitation of an electronic band structure by a single-photon Fock state</i>. LibreCat University. <a href=\"https://doi.org/10.5281/ZENODO.5774986\">https://doi.org/10.5281/ZENODO.5774986</a>","short":"H. Rose, A.N. Vasil’ev, O.V. Tikhonova, T. Meier, P.R. Sharapova, Excitation of an Electronic Band Structure by a Single-Photon Fock State, LibreCat University, 2021.","mla":"Rose, Hendrik, et al. <i>Excitation of an Electronic Band Structure by a Single-Photon Fock State</i>. LibreCat University, 2021, doi:<a href=\"https://doi.org/10.5281/ZENODO.5774986\">10.5281/ZENODO.5774986</a>.","bibtex":"@book{Rose_Vasil’ev_Tikhonova_Meier_Sharapova_2021, title={Excitation of an electronic band structure by a single-photon Fock state}, DOI={<a href=\"https://doi.org/10.5281/ZENODO.5774986\">10.5281/ZENODO.5774986</a>}, publisher={LibreCat University}, author={Rose, Hendrik and Vasil’ev, A.N. and Tikhonova, O.V. and Meier, Torsten and Sharapova, Polina R.}, year={2021} }"},"year":"2021","department":[{"_id":"15"},{"_id":"569"},{"_id":"170"},{"_id":"293"},{"_id":"35"},{"_id":"230"}],"user_id":"16199","_id":"55559","status":"public","abstract":[{"text":"In this report, we consider a semiconductor nanostructure in an optical cavity that is coupled to quantum light. We describe the semiconductor nanostructure with a parabolic band structure in a 1D k-space, while we assume a single-mode quantum field. The 1D<br> system is chosen for simplicity in both the analytical and the numerical treatment and paves the way for the description of 2D structures in the future. Therefore, instead of using parameters which are realistic for 1D systems, we rather use parameters which qualitatively correspond to 2D GaAs structures.","lang":"eng"}],"type":"research_data"}]