Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory

• URL: http://arxiv.org/abs/2505.04704v1
• Date: Wed, 07 May 2025 18:00:42 GMT
• Title: Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory
• Authors: Giovanni Cataldi, Giuseppe Calajó, Pietro Silvi, Simone Montangero, Jad C. Halimeh,
• Abstract summary: Isolated quantum many-body systems equilibrate when quenched far from equilibrium under non-Abelian gauge-symmetry constraints.<n>We highlight the non-Abelian nature of these phases and argue for potential realizations on qudit processors.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate how isolated quantum many-body systems equilibrate when quenched far from equilibrium under non-Abelian gauge-symmetry constraints. By encoding gauge superselection sectors into static $\mathrm{SU}(2)$ background charges, we map out the dynamical phase diagram of a $1+1D$ $\mathrm{SU}(2)$ lattice gauge theory with dynamical matter. We uncover three distinct regimes: (i) an ergodic phase, (ii) a fragmented phase that is nonthermal but delocalized, and (iii) a disorder-free many-body localized regime. In the latter, a superposition of superselection sectors retains spatial matter inhomogeneities in time, as confirmed by distinctive temporal scalings of entropy. We highlight the non-Abelian nature of these phases and argue for potential realizations on qudit processors.

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