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Loss-induced Floquet non-Hermitian skin effect

Yaohua Li1, Cuicui Lu2,3, Shuang Zhang3, and Yong-Chun Liu1,4,*

  • 1State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China
  • 2Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurements of Ministry of Education, Beijing Key Laboratory of Nanophotonics and Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology, Beijing 100081, China
  • 3Department of Physics, University of Hong Kong, Hong Kong 999077, China
  • 4Frontier Science Center for Quantum Information, Beijing 100084, China

  • *ycliu@tsinghua.edu.cn

Phys. Rev. B 108, L220301 – Published 12 December, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L220301

Abstract

Non-Hermitian topological systems have attracted much interest due to their unique topological properties when the non-Hermitian skin effect (NHSE) appears. However, the experimental realization of NHSE conventionally requires nonreciprocal 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 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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