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A scheme for realizing nonreciprocal interlayer coupling in bilayer topological systems.

Xiaoxiao Wang1, Ruizhe Gu1, Yandong Li1

  • 1State Key Laboratory for Mesoscopic Physics and Department of Physics, Collaborative Innovation Center of Quantum Matter & Frontiers Science Center for Nano-Optoelectronics, Beijing Academy of Quantum Information Sciences, Peking University, Beijing, 100871, China.

Frontiers of Optoelectronics
|November 27, 2023
PubMed
Summary

Researchers found a method to simplify creating nonreciprocal interlayer coupling in non-Hermitian topological photonics. This technique links systems with coupling to those with gain/loss, aiding the study of non-Hermitian skin effects.

Keywords:
BilayerInterlayer couplingNonreciprocalTopological photonics

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Area of Science:

  • * Condensed matter physics
  • * Topological photonics
  • * Quantum mechanics

Background:

  • * Implementing nonreciprocal interlayer coupling in bilayer non-Hermitian topological photonic systems presents practical challenges.
  • * Understanding non-Hermitian systems is crucial for novel device applications.

Purpose of the Study:

  • * To establish a universal scheme for constructing and analyzing nonreciprocal interlayer coupling in bilayer non-Hermitian topological systems.
  • * To demonstrate the topological equivalence between systems with nonreciprocal interlayer coupling and those with on-site gain/loss.

Main Methods:

  • * Employing a similarity transformation to relate Hamiltonians of different non-Hermitian systems.
  • * Applying the transformation to one- and two-dimensional bilayer topological systems.
  • * Defining topological numbers using gauge-smoothed Wilson loops.

Main Results:

  • * A similarity transformation connects systems with nonreciprocal interlayer coupling to those with on-site gain/loss.
  • * Topological equivalence is shown for bilayer non-Hermitian systems.
  • * A consistent method for defining topological numbers is presented for domain-induced topological interface states.

Conclusions:

  • * The study provides a universal and convenient scheme for studying nonreciprocal interlayer coupling in non-Hermitian topological photonics.
  • * The findings facilitate the observation of the non-Hermitian skin effect in three-dimensional systems.
  • * This work bridges the understanding between different sources of non-Hermiticity.