Non-Hermitian glide-time symmetry

TL;DR

This paper explores the dynamic phenomena in one-dimensional non-Hermitian systems with glide-time reversal symmetry, revealing unique behaviors like dynamic non-Hermitian skin effects and phase-dependent wave control, expanding understanding of non-Hermitian physics.

Contribution

It introduces the concept of glide-time symmetry in non-Hermitian systems and uncovers its role in enabling diverse dynamic phases and phenomena.

Findings

Discovery of dynamic non-Hermitian skin effects across different phases

Tunable bulk and edge wave propagation and amplification

Identification of wave trapping and dynamic boundary patterns

Abstract

Non-Hermitian systems, going beyond conventional Hermitian systems, have brought in intriguing concepts such as exceptional points and complex spectral topology as well as exotic phenomena such as non-Hermitian skin effects (NHSEs). However, previous studies on non-Hermitian systems predominantly focus on the properties of eigenstates, with rather limited discussions on non-Hermitian dynamic phenomena. Here, inspired by the celebrated success of the parity-time symmetry in non-Hermitian physics, we theoretically study a one-dimensional non-Hermitian system with glide-time reversal (GT) symmetry. We discover that the GT symmetry leads to unique physical properties and enables rich dynamic phenomena in non-Hermitian systems. Remarkably, we reveal the dynamic NHSEs that exhibit diverse behaviors across distinct dynamic phases, elucidating the richness of non-Hermitian dynamics. We establish the theoretical frameworks for understanding the rich non-Hermitian dynamic phenomena. We further show that the rich dynamic phases in the GT-symmetric systems enable the remarkable tuning of the dynamics in the bulk as well as at the edge boundaries. These include the directional wave propagation and amplification in the bulk, as well as the wave trapping and the dynamic patterns at the edge boundaries. With both the development in the theoretical framework and the study of the rich non-Hermitian dynamic phases, this work serves as a stepstone for future studies on non-Hermitian dynamics with a special emphasize on the pivotal role of the lattice symmetry.