Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems

• URL: http://arxiv.org/abs/2403.18470v1
• Date: Wed, 27 Mar 2024 11:29:30 GMT
• Title: Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Authors: Xiang Ji, Xiaosen Yang,
• Abstract summary: We focus on the non-Bloch band theory of two typical periodically driven non-Hermitian systems. We review novel phenomena in the higher-dimensional periodically driven non-Hermitian systems.
• Score: 6.844618776091758
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: We present a pedagogical review of the periodically driven non-Hermitian systems, particularly on the rich interplay between the non-Hermitian skin effect and the topology. We start by reviewing the non-Bloch band theory of the static non-Hermitian systems and discuss the establishment of its generalized bulk-boundary correspondence. Ultimately, we focus on the non-Bloch band theory of two typical periodically driven non-Hermitian systems: harmonically driven non-Hermitian system and periodically quenched non-Hermitian system. The non-Bloch topological invariants were defined on the generalized Brillouin zone and the real space wave functions to characterize the Floquet non-Hermtian topological phases. Then, the generalized bulk-boundary correspondence was established for the two typical periodically driven non-Hermitian systems. Additionally, we review novel phenomena in the higher-dimensional periodically driven non-Hermitian systems, including Floquet non-Hermitian higher-order topological phases and Floquet hybrid skin-topological modes. The experimental realizations and recent advances have also been surveyed. Finally, we end with a summarization and hope this pedagogical review can motivate further research on Floquet non-Hermtian topological physics.

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