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Exceptional classifications of non-Hermitian systems

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Title
Exceptional classifications of non-Hermitian systems
Author(s)
Jung-Wan Ryu; Jae-Ho Han; Chang-Hwan Yi; Park, Moon Jip; Park, Hee Chul
Publication Date
2024-03
Journal
Communications Physics, v.7, no.1
Publisher
NATURE PUBLISHING GROUP
Abstract
Eigenstate coalescence in non-Hermitian systems is widely observed in diverse scientific domains encompassing optics and open quantum systems. Recent investigations have revealed that adiabatic encircling of exceptional points (EPs) leads to a nontrivial Berry phase in addition to an exchange of eigenstates. Based on these phenomena, we propose in this work an exhaustive classification framework for EPs in non-Hermitian physical systems. In contrast to previous classifications that only incorporate the eigenstate exchange effect, our proposed classification gives rise to finer Z 2 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb{Z}}}_{2}$$\end{document} classifications depending on the presence of a pi Berry phase after the encircling of the EPs. Moreover, by mapping arbitrary one-dimensional systems to the adiabatic encircling of EPs, we can classify one-dimensional non-Hermitian systems characterized by topological phase transitions involving EPs. Applying our exceptional classification to various multiband systems, we expect to enhance the understanding of topological phases in non-Hermitian systems. Large efforts have been placed on topological phases in non-Hermitian systems, where the appearance of exceptional points (EPs) and nontrivial Berry phase gather great interest. This study proposes an exhaustive classification framework for EPs, which connects eigenstate switching and Berry phase and reveals topological phase transitions accompanying EPs.
URI
https://pr.ibs.re.kr/handle/8788114/15052
DOI
10.1038/s42005-024-01595-9
ISSN
2399-3650
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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