Edge-dependent anomalous topology in synthetic photonic lattices subject to discrete step walks
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866910572532989952 |
|---|---|
| author | Sokhen, Rabih El Gómez-León, Álvaro Adiyatullin, Albert F. Randoux, Stéphane Delplace, Pierre Amo, Alberto |
| author_facet | Sokhen, Rabih El Gómez-León, Álvaro Adiyatullin, Albert F. Randoux, Stéphane Delplace, Pierre Amo, Alberto |
| contents | Anomalous topological phases, where edge states coexist with topologically trivial Chern bands, can only appear in periodically driven lattices. When the driving is smooth and continuous, the bulk-edge correspondence is guaranteed by the existence of a bulk invariant known as the winding number. However, in lattices subject to periodic discrete-step walks the existence of edge states does not only depend on bulk invariants but also on the boundary. This is a consequence of the absence of an intrinsic time-dependence or micromotion in discrete-step walks. We report the observation of edge states and a simultaneous measurement of the bulk invariants in anomalous topological phases in a two-dimensional synthetic photonic lattice subject to discrete-step walks. The lattice is implemented using time multiplexing of light pulses in two coupled fibre rings, in which one of the dimensions displays real space dynamics and the other one is parametric. The presence of edge states is inherent to the periodic driving and depends on the properties of the boundary in the implemented two-band model with zero Chern number. We provide a suitable expression for the topological invariants whose calculation does not rely on micromotion dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_10619 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Edge-dependent anomalous topology in synthetic photonic lattices subject to discrete step walks Sokhen, Rabih El Gómez-León, Álvaro Adiyatullin, Albert F. Randoux, Stéphane Delplace, Pierre Amo, Alberto Mesoscale and Nanoscale Physics Optics Anomalous topological phases, where edge states coexist with topologically trivial Chern bands, can only appear in periodically driven lattices. When the driving is smooth and continuous, the bulk-edge correspondence is guaranteed by the existence of a bulk invariant known as the winding number. However, in lattices subject to periodic discrete-step walks the existence of edge states does not only depend on bulk invariants but also on the boundary. This is a consequence of the absence of an intrinsic time-dependence or micromotion in discrete-step walks. We report the observation of edge states and a simultaneous measurement of the bulk invariants in anomalous topological phases in a two-dimensional synthetic photonic lattice subject to discrete-step walks. The lattice is implemented using time multiplexing of light pulses in two coupled fibre rings, in which one of the dimensions displays real space dynamics and the other one is parametric. The presence of edge states is inherent to the periodic driving and depends on the properties of the boundary in the implemented two-band model with zero Chern number. We provide a suitable expression for the topological invariants whose calculation does not rely on micromotion dynamics. |
| title | Edge-dependent anomalous topology in synthetic photonic lattices subject to discrete step walks |
| topic | Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2311.10619 |