Activating non-Hermitian skin modes by parity-time symmetry breaking

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Hauptverfasser: Lei, Zhoutao, Lee, Ching Hua, Li, Linhu
Format: Preprint
Veröffentlicht: 2023
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author Lei, Zhoutao
Lee, Ching Hua
Li, Linhu
author_facet Lei, Zhoutao
Lee, Ching Hua
Li, Linhu
contents Parity-time ($\mathcal{PT}$) symmetry is a cornerstone of non-Hermitian physics as it ensures real energies for stable experimental realization of non-Hermitian phenomena. In this work, we propose $\mathcal{PT}$ symmetry as a paradigm for designing rich families of higher-dimensional non-Hermitian states with unique bulk, surface, hinge or corner dynamics. Through systematically breaking or restoring $\mathcal{PT}$ symmetry in different sectors of a system, we can selectively activate or manipulate the non-Hermitian skin effect (NHSE) in both the bulk and topological boundary states. Some fascinating phenomena include the directional toggling of the NHSE, and the flow of boundary states without chiral or dynamical pumping, developed from selective boundary NHSE. Our results extend richly into 3D or higher, with more sophisticated interplay with selective bulk and boundary NHSE and charge-parity ($\mathcal{CP}$) symmetry. Based on non-interacting lattices, $\mathcal{PT}$-activated NHSEs can be observed in various optical, photonic, electric and quantum platforms that admit gain/loss and non-reciprocity.
format Preprint
id arxiv_https___arxiv_org_abs_2304_13955
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Activating non-Hermitian skin modes by parity-time symmetry breaking
Lei, Zhoutao
Lee, Ching Hua
Li, Linhu
Mesoscale and Nanoscale Physics
Optics
Quantum Physics
Parity-time ($\mathcal{PT}$) symmetry is a cornerstone of non-Hermitian physics as it ensures real energies for stable experimental realization of non-Hermitian phenomena. In this work, we propose $\mathcal{PT}$ symmetry as a paradigm for designing rich families of higher-dimensional non-Hermitian states with unique bulk, surface, hinge or corner dynamics. Through systematically breaking or restoring $\mathcal{PT}$ symmetry in different sectors of a system, we can selectively activate or manipulate the non-Hermitian skin effect (NHSE) in both the bulk and topological boundary states. Some fascinating phenomena include the directional toggling of the NHSE, and the flow of boundary states without chiral or dynamical pumping, developed from selective boundary NHSE. Our results extend richly into 3D or higher, with more sophisticated interplay with selective bulk and boundary NHSE and charge-parity ($\mathcal{CP}$) symmetry. Based on non-interacting lattices, $\mathcal{PT}$-activated NHSEs can be observed in various optical, photonic, electric and quantum platforms that admit gain/loss and non-reciprocity.
title Activating non-Hermitian skin modes by parity-time symmetry breaking
topic Mesoscale and Nanoscale Physics
Optics
Quantum Physics
url https://arxiv.org/abs/2304.13955