Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916034008580096 |
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| author | Cataldi, Giovanni Calajó, Giuseppe Silvi, Pietro Montangero, Simone Halimeh, Jad C. |
| author_facet | Cataldi, Giovanni Calajó, Giuseppe Silvi, Pietro Montangero, Simone Halimeh, Jad C. |
| contents | We investigate how isolated quantum many-body systems dynamically equilibrate 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+1)D $\mathrm{SU}(2)$ 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 gauge superselection sectors preserves spatial matter inhomogeneities in time, as evidenced by distinct temporal scalings of entropy. We highlight the non-Abelian nature of these phases and argue for potential realizations on qudit processors. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_04704 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory Cataldi, Giovanni Calajó, Giuseppe Silvi, Pietro Montangero, Simone Halimeh, Jad C. Quantum Gases High Energy Physics - Lattice Quantum Physics We investigate how isolated quantum many-body systems dynamically equilibrate 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+1)D $\mathrm{SU}(2)$ 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 gauge superselection sectors preserves spatial matter inhomogeneities in time, as evidenced by distinct temporal scalings of entropy. We highlight the non-Abelian nature of these phases and argue for potential realizations on qudit processors. |
| title | Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory |
| topic | Quantum Gases High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2505.04704 |