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

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Giovanni Cataldi , Giuseppe Calajò , Pietro Silvi , Simone Montangero , Jad C. Halimeh ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2505.04704

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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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2505.04704
PDF: https://arxiv.org/pdf/2505.04704
OA Status: green
OpenAlex ID: https://openalex.org/W4416095708

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DOI: https://doi.org/10.48550/arxiv.2505.04704

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

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Type: preprint

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Language: en

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Publication year: 2025

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Publication date: 2025-05-07

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Authors: Giovanni Cataldi, Giuseppe Calajò, Pietro Silvi, Simone Montangero, Jad C. Halimeh

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Landing page: https://arxiv.org/abs/2505.04704

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PDF URL: https://arxiv.org/pdf/2505.04704

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