Floquet Topological Phases of Non-Hermitian Systems

Abstract

The non-Hermiticity caused breakdown of the bulk-boundary correspondence (BBC) in topological phase transition was cured by the skin effect for the systems with chiral symmetry and translation invariance. However, periodic driving, as an active tool in engineering exotic topological phases, breaks the chiral symmetry, and the inevitable disorder destroys the translation invariance. Here, we propose a scheme to retrieve the BBC and establish a complete description of the topological phases of the periodically driven non-Hermitian system both with and without the translation invariance. The demonstration of our method in the non-Hermitian Su-Schrieffer-Heeger model shows that exotic non-Hermitian topological phases of widely tunable numbers of edge states and Floquet topological Anderson insulator are induced by the periodic driving and the disorder. Our result supplies a useful way to artificially synthesize exotic phases by periodic driving in the non-Hermitian system.

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• Non-Hermitian Bulk-Boundary Correspondence in Periodically Driven System
• Non-Hermitian Topological Phases: Principles and Prospects
• Floquet second-order topological insulators in non-Hermitian systems
• Non-Hermitian Floquet Topological Matter -- A Review
• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• Topological aspects of periodically driven non-Hermitian Su-Schrieffer-Heeger model
• Floquet topological phase transitions in a periodically quenched dimer
• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Symmetry and topological classification of Floquet non-Hermitian systems
• Properties of the non-Hermitian SSH model: role of PT-symmetry
• Machine learning topological invariants of non-Hermitian systems
• Driving-induced multiple $\mathcal{P}\mathcal{T}$-symmetry breaking transitions and reentrant localization transitions in non-Hermitian Floquet quasicrystals
• Controlling Exceptional Points with Light
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• Deterministic chaos and fractal entropy scaling in Floquet CFT
• Quantized Topological Anderson-Thouless Pump
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• Engineering exotic second-order topological semimetals by periodic driving
• Double exceptional links in a three-dimensional dissipative cold atomic gas
• Non-Hermitian Weyl semimetal and its Floquet engineering
• Realizing exceptional points by Floquet dissipative couplings in thermal atoms
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Quantum Control in Open and Periodically Driven Systems
• Observation of size-dependent boundary effects in non-Hermitian electric circuits
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• Non-Hermitian second-order topological superconductors
• Floquet control of global $PT$ symmetry in 2D arrays of quadrimer waveguides
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• Anomalous topological edge modes in a periodically-driven trimer lattice
• Two-dimensional anisotropic non-Hermitian Lieb lattice
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• Entanglement phase transitions in non-Hermitian Floquet systems
• Floquet Exceptional Topological Insulator
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• Quantum quenches in a pseudo-Hermitian Chern insulator
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• Majorana modes in trapped-ion system and their Floquet engineering
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• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes
• Floquet spin textures in optically pumped non-Hermitian surface states
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• Non-Hermitian second-order topological insulator with point gap
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