Loss-induced Floquet non-Hermitian skin effect

Abstract

Non-Hermitian topological systems have attracted lots of interest due to their unique topological properties when the non-Hermitian skin effect (NHSE) appears. However, the experimental realization of NHSE conventionally requires non-reciprocal couplings, which are compatible with limited systems. Here we propose a mechanism of loss-induced Floquet NHSE, where the loss provides the basic source of non-Hermicity and the Floquet engineering brings about the Floquet-induced complex next-nearest-neighbor couplings. We also extend the generalized Brillouin zone theory to nonequilibrium systems to describe the Floquet NHSE. Furthermore, we show that this mechanism can realize the second-order NHSE when generalized to two-dimensional systems. Our proposal can be realized in photonic lattices with helical waveguides and other related systems, which opens the door for the study of topological phases in Floquet non-Hermitian systems.

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Cited by in corpus (13)

• Floquet engineering of point-gapped topological superconductors
• Non-Hermitian Floquet Topological Matter -- A Review
• Generalized bulk-boundary correspondence in periodically driven non-Hermitian systems
• A brief review of hybrid skin-topological effect
• Non-Hermitian Skin Effect in Periodically-Driven Dissipative Ultracold Atoms
• Self-trapping and skin solitons in two-dimensional non-Hermitian lattices
• Kibble-Zurek scaling immune to anti-Kibble-Zurek behavior in driven open systems at the limit of loss difference
• Multiple topological transitions and spectral singularities in non-Hermitian Floquet systems
• Extended unitarity and absence of skin effect in periodically driven systems
• Loss-induced universal one-way transport in periodically driven systems
• Manipulating Spectral Windings and Skin Modes through Nonconservative Couplings
• Defect-driven incoherent skin localization
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits