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  • Letter

Generic Hilbert space fragmentation in Kogut-Susskind lattice gauge theories

Anthony N. Ciavarella1,*, Christian W. Bauer1,2,†, and Jad C. Halimeh3,4,5,‡

  • *Contact author: anciavarella@lbl.gov
  • †Contact author: cwbauer@lbl.gov
  • ‡Contact author: jad.halimeh@physik.lmu.de

Phys. Rev. D 112, L091501 – Published 12 November, 2025

DOI: https://doi.org/10.1103/p4xd-4ngx

Abstract

At the heart of quantum many-body physics lies the understanding of mechanisms that avoid quantum thermalization in an isolated system quenched far from equilibrium. A prominent example is Hilbert space fragmentation, which has recently emerged as an ergodicity-breaking mechanism in constrained spin models. Here, we show that Kogut-Susskind formulations of lattice gauge theories in d+1D (d spatial and one temporal dimensions) give rise to Hilbert space fragmentation, and discuss possible implications for understanding continuum physics. Our findings not only prove that lattice gauge theories are a natural platform for Hilbert space fragmentation, they also serve as a guide to the conditions under which these models can be faithfully used to infer the thermalization properties of quantum chromodynamics.

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