{"user_id":"16199","publisher":"Walter de Gruyter GmbH","title":"Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates","page":"509-518","intvolume":"        13","date_updated":"2025-09-12T11:22:41Z","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"},{"name":"TRR 142 - Project Area B","_id":"55"},{"name":"TRR 142; TP A04: Nichtlineare Quantenprozesstomographie und Photonik mit Polaritonen in Mikrokavitäten","_id":"61"},{"name":"TRR 142; TP B09: Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen","_id":"170"}],"publication_identifier":{"issn":["2192-8614"]},"publication_status":"published","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>Topological states have been widely investigated in different types of systems and lattices. In the present work, we report on topological edge states in double-wave (DW) chains, which can be described by a generalized Aubry-André-Harper (AAH) model. For the specific system of a driven-dissipative exciton polariton system we show that in such potential chains, different types of edge states can form. For resonant optical excitation, we further find that the optical nonlinearity leads to a multistability of different edge states. This includes topologically protected edge states evolved directly from individual linear eigenstates as well as additional edge states that originate from nonlinearity-induced localization of bulk states. Extending the system into two dimensions (2D) by stacking horizontal DW chains in the vertical direction, we also create 2D multi-wave lattices. In such 2D lattices multiple Su–Schrieffer–Heeger (SSH) chains appear along the vertical direction. The combination of DW chains in the horizonal and SSH chains in the vertical direction then results in the formation of higher-order topological insulator corner states. Multistable corner states emerge in the nonlinear regime.</jats:p>"}],"issue":"4","publication":"Nanophotonics","citation":{"bibtex":"@article{Schneider_Gao_Zentgraf_Schumacher_Ma_2024, title={Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates}, volume={13}, DOI={<a href=\"https://doi.org/10.1515/nanoph-2023-0556\">10.1515/nanoph-2023-0556</a>}, number={4}, journal={Nanophotonics}, publisher={Walter de Gruyter GmbH}, author={Schneider, Tobias and Gao, Wenlong and Zentgraf, Thomas and Schumacher, Stefan and Ma, Xuekai}, year={2024}, pages={509–518} }","ieee":"T. Schneider, W. Gao, T. Zentgraf, S. Schumacher, and X. Ma, “Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates,” <i>Nanophotonics</i>, vol. 13, no. 4, pp. 509–518, 2024, doi: <a href=\"https://doi.org/10.1515/nanoph-2023-0556\">10.1515/nanoph-2023-0556</a>.","mla":"Schneider, Tobias, et al. “Topological Edge and Corner States in Coupled Wave Lattices in Nonlinear Polariton Condensates.” <i>Nanophotonics</i>, vol. 13, no. 4, Walter de Gruyter GmbH, 2024, pp. 509–18, doi:<a href=\"https://doi.org/10.1515/nanoph-2023-0556\">10.1515/nanoph-2023-0556</a>.","ama":"Schneider T, Gao W, Zentgraf T, Schumacher S, Ma X. Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates. <i>Nanophotonics</i>. 2024;13(4):509-518. doi:<a href=\"https://doi.org/10.1515/nanoph-2023-0556\">10.1515/nanoph-2023-0556</a>","chicago":"Schneider, Tobias, Wenlong Gao, Thomas Zentgraf, Stefan Schumacher, and Xuekai Ma. “Topological Edge and Corner States in Coupled Wave Lattices in Nonlinear Polariton Condensates.” <i>Nanophotonics</i> 13, no. 4 (2024): 509–18. <a href=\"https://doi.org/10.1515/nanoph-2023-0556\">https://doi.org/10.1515/nanoph-2023-0556</a>.","apa":"Schneider, T., Gao, W., Zentgraf, T., Schumacher, S., &#38; Ma, X. (2024). Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates. <i>Nanophotonics</i>, <i>13</i>(4), 509–518. <a href=\"https://doi.org/10.1515/nanoph-2023-0556\">https://doi.org/10.1515/nanoph-2023-0556</a>","short":"T. Schneider, W. Gao, T. Zentgraf, S. Schumacher, X. Ma, Nanophotonics 13 (2024) 509–518."},"_id":"61255","year":"2024","date_created":"2025-09-12T11:19:22Z","type":"journal_article","volume":13,"status":"public","author":[{"last_name":"Schneider","full_name":"Schneider, Tobias","first_name":"Tobias"},{"full_name":"Gao, Wenlong","last_name":"Gao","first_name":"Wenlong","id":"78853"},{"id":"30525","first_name":"Thomas","last_name":"Zentgraf","full_name":"Zentgraf, Thomas","orcid":"0000-0002-8662-1101"},{"full_name":"Schumacher, Stefan","orcid":"0000-0003-4042-4951","last_name":"Schumacher","first_name":"Stefan","id":"27271"},{"last_name":"Ma","full_name":"Ma, Xuekai","id":"59416","first_name":"Xuekai"}],"department":[{"_id":"15"},{"_id":"170"},{"_id":"297"},{"_id":"705"},{"_id":"35"},{"_id":"230"},{"_id":"429"},{"_id":"27"}],"doi":"10.1515/nanoph-2023-0556","language":[{"iso":"eng"}]}