Three-period evolution in a photonic Floquet extended Su-Schrieffer-Heeger waveguide array
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909718853713920 |
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| author | Li, Changsen Zhou, Yujie Wang, Xiumei Zhou, Xingping |
| author_facet | Li, Changsen Zhou, Yujie Wang, Xiumei Zhou, Xingping |
| contents | Periodic driving can induce the emergence of topological pi modes, and their superposition with zero modes leads to two-period dynamics. Introducing long-range couplings enables the realization of larger topological winding numbers, which correspond to multiple pairs of degenerate edge states under open boundary conditions. In this work, we construct a Floquet extended Su-Schrieffer-Heeger (SSH) model by introducing a two-step periodic driving and next-nearest-neighbor coupling into the static SSH chain simultaneously. Remarkably, we identify anomalous edge states with quasienergies -+pi/3T and -+2pi/3T. In order to reveal the dynamical features of these anomalous edge states, we elaborately adjust the optical parameters and ultimately achieve a successful mapping of the model onto a photonic waveguide array. Subsequently, through numerical simulation of the wave equation, we observe the unique behavior of three-period evolution. Our work may serve as a reference for realizing period-multiplied dynamics, and the anomalous edge states discussed here might also find applications in quantum computation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01319 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three-period evolution in a photonic Floquet extended Su-Schrieffer-Heeger waveguide array Li, Changsen Zhou, Yujie Wang, Xiumei Zhou, Xingping Optics Periodic driving can induce the emergence of topological pi modes, and their superposition with zero modes leads to two-period dynamics. Introducing long-range couplings enables the realization of larger topological winding numbers, which correspond to multiple pairs of degenerate edge states under open boundary conditions. In this work, we construct a Floquet extended Su-Schrieffer-Heeger (SSH) model by introducing a two-step periodic driving and next-nearest-neighbor coupling into the static SSH chain simultaneously. Remarkably, we identify anomalous edge states with quasienergies -+pi/3T and -+2pi/3T. In order to reveal the dynamical features of these anomalous edge states, we elaborately adjust the optical parameters and ultimately achieve a successful mapping of the model onto a photonic waveguide array. Subsequently, through numerical simulation of the wave equation, we observe the unique behavior of three-period evolution. Our work may serve as a reference for realizing period-multiplied dynamics, and the anomalous edge states discussed here might also find applications in quantum computation. |
| title | Three-period evolution in a photonic Floquet extended Su-Schrieffer-Heeger waveguide array |
| topic | Optics |
| url | https://arxiv.org/abs/2508.01319 |