Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates
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 e...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-02-01
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| Series: | Nanophotonics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nanoph-2023-0556 |
| _version_ | 1797258396171239424 |
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| author | Schneider Tobias Gao Wenlong Zentgraf Thomas Schumacher Stefan Ma Xuekai |
| author_facet | Schneider Tobias Gao Wenlong Zentgraf Thomas Schumacher Stefan Ma Xuekai |
| author_sort | Schneider Tobias |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-07T21:33:54Z |
| format | Article |
| id | doaj.art-a8e7ee59805b4915bee91649524ec847 |
| institution | Directory Open Access Journal |
| issn | 2192-8614 |
| language | English |
| last_indexed | 2024-04-24T22:52:52Z |
| publishDate | 2024-02-01 |
| publisher | De Gruyter |
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| series | Nanophotonics |
| spelling | doaj.art-a8e7ee59805b4915bee91649524ec8472024-03-18T10:28:06ZengDe GruyterNanophotonics2192-86142024-02-0113450951810.1515/nanoph-2023-0556Topological edge and corner states in coupled wave lattices in nonlinear polariton condensatesSchneider Tobias0Gao Wenlong1Zentgraf Thomas2Schumacher Stefan3Ma Xuekai4Department of Physics and Center for Optoelectronics and Photonics Paderborn (CeOPP), Paderborn University, 33098Paderborn, GermanyEastern Institute for Advanced Study, Eastern Institute of Technology, Ningbo, Zhejiang, 315200, ChinaDepartment of Physics and Center for Optoelectronics and Photonics Paderborn (CeOPP), Paderborn University, 33098Paderborn, GermanyDepartment of Physics and Center for Optoelectronics and Photonics Paderborn (CeOPP), Paderborn University, 33098Paderborn, GermanyDepartment of Physics and Center for Optoelectronics and Photonics Paderborn (CeOPP), Paderborn University, 33098Paderborn, GermanyTopological 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.https://doi.org/10.1515/nanoph-2023-0556topological edge statestopological corner statesexciton polaritonsoptical multistabilityaah chainshigher-order topological insulators |
| spellingShingle | Schneider Tobias Gao Wenlong Zentgraf Thomas Schumacher Stefan Ma Xuekai Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates Nanophotonics topological edge states topological corner states exciton polaritons optical multistability aah chains higher-order topological insulators |
| title | Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates |
| title_full | Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates |
| title_fullStr | Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates |
| title_full_unstemmed | Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates |
| title_short | Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates |
| title_sort | topological edge and corner states in coupled wave lattices in nonlinear polariton condensates |
| topic | topological edge states topological corner states exciton polaritons optical multistability aah chains higher-order topological insulators |
| url | https://doi.org/10.1515/nanoph-2023-0556 |
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