Disorder-Free Localization as a Purely Classical Effect
- URL: http://arxiv.org/abs/2302.00681v1
- Date: Wed, 1 Feb 2023 19:00:00 GMT
- Title: Disorder-Free Localization as a Purely Classical Effect
- Authors: Pablo Sala, Giuliano Giudici, Jad C. Halimeh
- Abstract summary: Disorder-free localization (DFL) is an ergodicity breaking mechanism in lattice gauge theories.
We show that DFL persists in the thermodynamic limit as a purely classical effect arising from the finite-size regularization of the gauge-field operator.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: 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.
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