Quantum dynamical signatures of non-Hermitian boundary modes

Fuente: arXiv
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Main Authors: Yang, Fan, Zelenayova, Maria, Molignini, Paolo, Bergholtz, Emil J.
Format: Preprint
Published: 2025
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author Yang, Fan
Zelenayova, Maria
Molignini, Paolo
Bergholtz, Emil J.
author_facet Yang, Fan
Zelenayova, Maria
Molignini, Paolo
Bergholtz, Emil J.
contents The non-Hermitian bulk-boundary correspondence features an interplay between the non-Hermitian skin effect and anomalous boundary-mode behavior. Whereas the skin effect is known to manifest itself in quantum dynamics in the form of chiral damping, it has remained less clear what impact the boundary modes may have. Here we derive experimentally accessible signatures of the boundary modes. We also establish clear criteria, based on the effective generalized Brillouin zone, that determine when bulk and boundary effects can be dynamically discerned using the Liouvillian separation gap. This leads to telltale signatures in both stable regimes -- where particle number remains finite -- and in the unstable regimes -- where a macroscopic boundary mode population occurs.
format Preprint
id arxiv_https___arxiv_org_abs_2506_16308
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum dynamical signatures of non-Hermitian boundary modes
Yang, Fan
Zelenayova, Maria
Molignini, Paolo
Bergholtz, Emil J.
Mesoscale and Nanoscale Physics
Quantum Gases
Optics
Quantum Physics
The non-Hermitian bulk-boundary correspondence features an interplay between the non-Hermitian skin effect and anomalous boundary-mode behavior. Whereas the skin effect is known to manifest itself in quantum dynamics in the form of chiral damping, it has remained less clear what impact the boundary modes may have. Here we derive experimentally accessible signatures of the boundary modes. We also establish clear criteria, based on the effective generalized Brillouin zone, that determine when bulk and boundary effects can be dynamically discerned using the Liouvillian separation gap. This leads to telltale signatures in both stable regimes -- where particle number remains finite -- and in the unstable regimes -- where a macroscopic boundary mode population occurs.
title Quantum dynamical signatures of non-Hermitian boundary modes
topic Mesoscale and Nanoscale Physics
Quantum Gases
Optics
Quantum Physics
url https://arxiv.org/abs/2506.16308