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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2407.13789 |
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| _version_ | 1866929427173081088 |
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| author | Zhu, Weiwei |
| author_facet | Zhu, Weiwei |
| contents | We report a new kind of exceptional points in periodically driven system, called Floquet $π$ exceptional points, whose eigenvectors rotate on Bloch sphere and accumulate $π$ geometric phase in one time period. The merging of two such kind exceptional points are constrained by their dynamical structure, meaning two order-1/2 exceptional points with same dynamical structure can merge to one order-1 one while those with opposite dynamical structure can not. We show they exist in Floquet bipartite lattices, and the order-1 Floquet $π$ exceptional points appear at the phase transition point between quasimomentum gap phases and quasienergy gap phases. The scattering properties around the order-1 Floquet $π$ exceptional points is quite novel, which is perfect transparency but detectable in reflection for one of two sides. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13789 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Floquet $π$ Exceptional Points Zhu, Weiwei Mesoscale and Nanoscale Physics We report a new kind of exceptional points in periodically driven system, called Floquet $π$ exceptional points, whose eigenvectors rotate on Bloch sphere and accumulate $π$ geometric phase in one time period. The merging of two such kind exceptional points are constrained by their dynamical structure, meaning two order-1/2 exceptional points with same dynamical structure can merge to one order-1 one while those with opposite dynamical structure can not. We show they exist in Floquet bipartite lattices, and the order-1 Floquet $π$ exceptional points appear at the phase transition point between quasimomentum gap phases and quasienergy gap phases. The scattering properties around the order-1 Floquet $π$ exceptional points is quite novel, which is perfect transparency but detectable in reflection for one of two sides. |
| title | Floquet $π$ Exceptional Points |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2407.13789 |