Disorder-Free Localization as a Purely Classical Effect

Fuente: arXiv
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Autori principali: Sala, Pablo, Giudici, Giuliano, Halimeh, Jad C.
Natura: Preprint
Pubblicazione: 2023
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author Sala, Pablo
Giudici, Giuliano
Halimeh, Jad C.
author_facet Sala, Pablo
Giudici, Giuliano
Halimeh, Jad C.
contents Disorder-free localization (DFL) is an ergodicity breaking mechanism that has been shown to occur in lattice gauge theories in the quench dynamics of initial states spanning an extensive number of gauge superselection sectors. Whether DFL is intrinsically a quantum interference effect or can arise classically has hitherto remained an open question whose resolution is pertinent to further understanding the far-from-equilibrium dynamics of gauge theories. In this work, we utilize cellular automaton circuits to model the quench dynamics of large-scale quantum link model (QLM) formulations of $(1+1)$D quantum electrodynamics, showing excellent agreement with the exact quantum case for small system sizes. Our results demonstrate that DFL persists in the thermodynamic limit as a purely classical effect arising from the finite-size regularization of the gauge-field operator in the QLM formulation, and that quantum interference, though not a necessary condition, may be employed to enhance DFL.
format Preprint
id arxiv_https___arxiv_org_abs_2302_00681
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Disorder-Free Localization as a Purely Classical Effect
Sala, Pablo
Giudici, Giuliano
Halimeh, Jad C.
Quantum Gases
Disordered Systems and Neural Networks
Strongly Correlated Electrons
Quantum Physics
Disorder-free localization (DFL) is an ergodicity breaking mechanism that has been shown to occur in lattice gauge theories in the quench dynamics of initial states spanning an extensive number of gauge superselection sectors. Whether DFL is intrinsically a quantum interference effect or can arise classically has hitherto remained an open question whose resolution is pertinent to further understanding the far-from-equilibrium dynamics of gauge theories. In this work, we utilize cellular automaton circuits to model the quench dynamics of large-scale quantum link model (QLM) formulations of $(1+1)$D quantum electrodynamics, showing excellent agreement with the exact quantum case for small system sizes. Our results demonstrate that DFL persists in the thermodynamic limit as a purely classical effect arising from the finite-size regularization of the gauge-field operator in the QLM formulation, and that quantum interference, though not a necessary condition, may be employed to enhance DFL.
title Disorder-Free Localization as a Purely Classical Effect
topic Quantum Gases
Disordered Systems and Neural Networks
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2302.00681