Floquet $π$ Exceptional Points

Fuente: arXiv
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Autor principal: Zhu, Weiwei
Formato: Preprint
Publicado: 2024
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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