Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model

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Hauptverfasser: Hu, Yu-Min, Wang, Zijian, Lian, Biao, Wang, Zhong
Format: Preprint
Veröffentlicht: 2025
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author Hu, Yu-Min
Wang, Zijian
Lian, Biao
Wang, Zhong
author_facet Hu, Yu-Min
Wang, Zijian
Lian, Biao
Wang, Zhong
contents We introduce a dissipative lattice gauge model that exhibits the many-body version of the non-Hermitian skin effect. The dissipative couplings between dynamical gauge fields on the lattice links and the surrounding environment generate chiral motions of particles residing on lattice sites. Despite the complexity arising from many-body interactions, the local gauge symmetry enables the exact construction of a steady state that displays the many-body non-Hermitian skin effect. Furthermore, our approach can be generalized to realize a new type of many-body non-Hermitian skin effect, dubbed the hierarchical skin effect, where different subsystem degrees of freedom exhibit boundary accumulation of multiple moments at different orders. Our findings can be readily observed by engineering dissipation in state-of-the-art lattice gauge simulators.
format Preprint
id arxiv_https___arxiv_org_abs_2502_03534
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
Hu, Yu-Min
Wang, Zijian
Lian, Biao
Wang, Zhong
Quantum Physics
Mesoscale and Nanoscale Physics
Quantum Gases
Strongly Correlated Electrons
Optics
We introduce a dissipative lattice gauge model that exhibits the many-body version of the non-Hermitian skin effect. The dissipative couplings between dynamical gauge fields on the lattice links and the surrounding environment generate chiral motions of particles residing on lattice sites. Despite the complexity arising from many-body interactions, the local gauge symmetry enables the exact construction of a steady state that displays the many-body non-Hermitian skin effect. Furthermore, our approach can be generalized to realize a new type of many-body non-Hermitian skin effect, dubbed the hierarchical skin effect, where different subsystem degrees of freedom exhibit boundary accumulation of multiple moments at different orders. Our findings can be readily observed by engineering dissipation in state-of-the-art lattice gauge simulators.
title Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
topic Quantum Physics
Mesoscale and Nanoscale Physics
Quantum Gases
Strongly Correlated Electrons
Optics
url https://arxiv.org/abs/2502.03534