Non-Hermitian Quantum Many-Body Scar Phase

Fuente: arXiv
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Main Authors: Omiya, Keita, Nakagawa, Yuya O
Format: Preprint
Published: 2025
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author Omiya, Keita
Nakagawa, Yuya O
author_facet Omiya, Keita
Nakagawa, Yuya O
contents We introduce a novel non-equilibrium phase -- the quantum many-body scar (QMBS) phase -- that emerges in non-Hermitian many-body dynamics when scarred wavefunctions are selectively stabilized via non-Hermitian driving. Projective measurements, or non-Hermitian counterparts, preferentially reinforce QMBS, counteracting the entropy growth that drives thermalization. As a result, atypical, high-energy scarred wavefunctions that are negligible in the long-time dynamics of closed systems become non-equilibrium steady states. We establish the existence of the QMBS phase and its sharp, first-order phase transition from an ergodic thermal phase, through both analytical arguments and numerical simulations of three representative models: a random quantum circuit model, the $SU(q)$ spin model, and the paradigmatic spin-1 XY model.
format Preprint
id arxiv_https___arxiv_org_abs_2507_22583
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Hermitian Quantum Many-Body Scar Phase
Omiya, Keita
Nakagawa, Yuya O
Quantum Physics
Statistical Mechanics
Strongly Correlated Electrons
We introduce a novel non-equilibrium phase -- the quantum many-body scar (QMBS) phase -- that emerges in non-Hermitian many-body dynamics when scarred wavefunctions are selectively stabilized via non-Hermitian driving. Projective measurements, or non-Hermitian counterparts, preferentially reinforce QMBS, counteracting the entropy growth that drives thermalization. As a result, atypical, high-energy scarred wavefunctions that are negligible in the long-time dynamics of closed systems become non-equilibrium steady states. We establish the existence of the QMBS phase and its sharp, first-order phase transition from an ergodic thermal phase, through both analytical arguments and numerical simulations of three representative models: a random quantum circuit model, the $SU(q)$ spin model, and the paradigmatic spin-1 XY model.
title Non-Hermitian Quantum Many-Body Scar Phase
topic Quantum Physics
Statistical Mechanics
Strongly Correlated Electrons
url https://arxiv.org/abs/2507.22583