Dynamical suppression of many-body non-Hermitian skin effect in anyonic systems

Abstract The non-Hermitian skin effect (NHSE) is a fascinating phenomenon in nonequilibrium systems where eigenstates massively localize at the systems’ boundaries, pumping (quasi-)particles loaded in these systems unidirectionally to the boundaries. Its interplay with many-body effects has been wid...

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Main Authors: Yi Qin, Ching Hua Lee, Linhu Li
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-025-01935-3
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author Yi Qin
Ching Hua Lee
Linhu Li
author_facet Yi Qin
Ching Hua Lee
Linhu Li
author_sort Yi Qin
collection DOAJ
description Abstract The non-Hermitian skin effect (NHSE) is a fascinating phenomenon in nonequilibrium systems where eigenstates massively localize at the systems’ boundaries, pumping (quasi-)particles loaded in these systems unidirectionally to the boundaries. Its interplay with many-body effects has been widely explored recently, and inter-particle repulsion or Fermi degeneracy pressure have been shown to limit the boundary accumulation induced by the NHSE both in their eigensolutions and dynamics. However, in this work we find that anyonic statistics can even more profoundly affect the NHSE dynamics, suppressing or even reversing the state dynamics against the localizing direction of the NHSE. This phenomenon is found to be more pronounced when more particles are involved. The spreading of quantum information in this system shows even more exotic phenomena, where NHSE affects only the information dynamics for a thermal ensemble, but not that for a single initial state. Our results open up a new avenue on exploring novel non-Hermitian phenomena arisen from the interplay between NHSE and anyonic statistics, and can potentially be demonstrated in ultracold atomic quantum simulators and quantum computers.
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spelling doaj-art-a2d3002d48b445b1b65a8f4b3e7960c92025-01-19T12:26:24ZengNature PortfolioCommunications Physics2399-36502025-01-01811910.1038/s42005-025-01935-3Dynamical suppression of many-body non-Hermitian skin effect in anyonic systemsYi Qin0Ching Hua Lee1Linhu Li2Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing, School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus)Department of Physics, National University of SingaporeGuangdong Provincial Key Laboratory of Quantum Metrology and Sensing, School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus)Abstract The non-Hermitian skin effect (NHSE) is a fascinating phenomenon in nonequilibrium systems where eigenstates massively localize at the systems’ boundaries, pumping (quasi-)particles loaded in these systems unidirectionally to the boundaries. Its interplay with many-body effects has been widely explored recently, and inter-particle repulsion or Fermi degeneracy pressure have been shown to limit the boundary accumulation induced by the NHSE both in their eigensolutions and dynamics. However, in this work we find that anyonic statistics can even more profoundly affect the NHSE dynamics, suppressing or even reversing the state dynamics against the localizing direction of the NHSE. This phenomenon is found to be more pronounced when more particles are involved. The spreading of quantum information in this system shows even more exotic phenomena, where NHSE affects only the information dynamics for a thermal ensemble, but not that for a single initial state. Our results open up a new avenue on exploring novel non-Hermitian phenomena arisen from the interplay between NHSE and anyonic statistics, and can potentially be demonstrated in ultracold atomic quantum simulators and quantum computers.https://doi.org/10.1038/s42005-025-01935-3
spellingShingle Yi Qin
Ching Hua Lee
Linhu Li
Dynamical suppression of many-body non-Hermitian skin effect in anyonic systems
Communications Physics
title Dynamical suppression of many-body non-Hermitian skin effect in anyonic systems
title_full Dynamical suppression of many-body non-Hermitian skin effect in anyonic systems
title_fullStr Dynamical suppression of many-body non-Hermitian skin effect in anyonic systems
title_full_unstemmed Dynamical suppression of many-body non-Hermitian skin effect in anyonic systems
title_short Dynamical suppression of many-body non-Hermitian skin effect in anyonic systems
title_sort dynamical suppression of many body non hermitian skin effect in anyonic systems
url https://doi.org/10.1038/s42005-025-01935-3
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AT chinghualee dynamicalsuppressionofmanybodynonhermitianskineffectinanyonicsystems
AT linhuli dynamicalsuppressionofmanybodynonhermitianskineffectinanyonicsystems