{"citation":{"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>ArXiv:2303.12593</i>, 2023.","mla":"Schneider, Tobias, et al. “Topological Edge and Corner States in Coupled Wave Lattices in Nonlinear  Polariton Condensates.” <i>ArXiv:2303.12593</i>, 2023.","apa":"Schneider, T., Gao, W., Zentgraf, T., Schumacher, S., &#38; Ma, X. (2023). Topological edge and corner states in coupled wave lattices in nonlinear  polariton condensates. In <i>arXiv:2303.12593</i>.","short":"T. Schneider, W. Gao, T. Zentgraf, S. Schumacher, X. Ma, ArXiv:2303.12593 (2023).","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>arXiv:230312593</i>. Published online 2023.","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>arXiv:2303.12593</i>. 2023.","bibtex":"@article{Schneider_Gao_Zentgraf_Schumacher_Ma_2023, title={Topological edge and corner states in coupled wave lattices in nonlinear  polariton condensates}, journal={arXiv:2303.12593}, author={Schneider, Tobias and Gao, Wenlong and Zentgraf, Thomas and Schumacher, Stefan and Ma, Xuekai}, year={2023} }"},"type":"preprint","department":[{"_id":"15"}],"status":"public","_id":"47531","external_id":{"arxiv":["2303.12593"]},"date_created":"2023-09-29T11:28:21Z","user_id":"59416","year":"2023","author":[{"first_name":"Tobias","full_name":"Schneider, Tobias","last_name":"Schneider"},{"full_name":"Gao, Wenlong","last_name":"Gao","first_name":"Wenlong"},{"full_name":"Zentgraf, Thomas","last_name":"Zentgraf","first_name":"Thomas"},{"first_name":"Stefan","last_name":"Schumacher","full_name":"Schumacher, Stefan"},{"first_name":"Xuekai","full_name":"Ma, Xuekai","last_name":"Ma"}],"title":"Topological edge and corner states in coupled wave lattices in nonlinear  polariton condensates","abstract":[{"text":"Topological states have been widely investigated in different types of\r\nsystems and lattices. In the present work, we report on topological edge states\r\nin double-wave (DW) chains, which can be described by a generalized\r\nAubry-Andr\\'e-Harper (AAH) model. For the specific system of a\r\ndriven-dissipative exciton polariton system we show that in such potential\r\nchains, different types of edge states can form. For resonant optical\r\nexcitation, we further find that the optical nonlinearity leads to a\r\nmultistability of different edge states. This includes topologically protected\r\nedge states evolved directly from individual linear eigenstates as well as\r\nadditional edge states that originate from nonlinearity-induced localization of\r\nbulk states. Extending the system into two dimensions (2D) by stacking\r\nhorizontal DW chains in the vertical direction, we also create 2D multi-wave\r\nlattices. In such 2D lattices multiple Su-Schrieffer-Heeger (SSH) chains appear\r\nalong the vertical direction. The combination of DW chains in the horizontal\r\nand SSH chains in the vertical direction then results in the formation of\r\nhigher-order topological insulator corner states.","lang":"eng"}],"publication":"arXiv:2303.12593","language":[{"iso":"eng"}],"date_updated":"2023-09-29T11:29:56Z"}