Enhancing disorder-free localization through dynamically emergent local symmetries

• URL: http://arxiv.org/abs/2111.08715v2
• Date: Tue, 3 May 2022 12:54:07 GMT
• Title: Enhancing disorder-free localization through dynamically emergent local symmetries
• Authors: Jad C. Halimeh, Lukas Homeier, Hongzheng Zhao, Annabelle Bohrdt, Fabian Grusdt, Philipp Hauke, Johannes Knolle
• Abstract summary: We show that disorder-free localization can not only be stabilized, but also textit enhanced by the addition of translation-invariant terms linear in a local $mathbbZ$ textitpseudogenerator We show analytically and numerically how this leads through the quantum Zeno effect to the dynamical emergence of a renormalized gauge theory with an enhanced local symmetry.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Disorder-free localization is a recently discovered phenomenon of nonergodicity that can emerge in quantum many-body systems hosting gauge symmetries when the initial state is prepared in a superposition of gauge superselection sectors. Thermalization is then prevented up to all accessible evolution times despite the model being nonintegrable and translation-invariant. In a recent work [Halimeh, Zhao, Hauke, and Knolle, arXiv:2111.02427], it has been shown that terms linear in the gauge-symmetry generator stabilize disorder-free localization in $\mathrm{U}(1)$ gauge theories against gauge errors that couple different superselection sectors. Here, we show in the case of $\mathbb{Z}_2$ gauge theories that disorder-free localization can not only be stabilized, but also \textit{enhanced} by the addition of translation-invariant terms linear in a local $\mathbb{Z}_2$ \textit{pseudogenerator} that acts identically to the full generator in a single superselection sector, but not necessarily outside of it. We show analytically and numerically how this leads through the quantum Zeno effect to the dynamical emergence of a renormalized gauge theory with an enhanced local symmetry, which contains the $\mathbb{Z}_2$ gauge symmetry of the ideal model, associated with the $\mathbb{Z}_2$ pseudogenerator. The resulting proliferation of superselection sectors due to this dynamically emergent gauge theory creates an effective disorder greater than that in the original model, thereby enhancing disorder-free localization. We demonstrate the experimental feasibility of the $\mathbb{Z}_2$ pseudogenerator by providing a detailed readily implementable experimental proposal for the observation of disorder-free localization in a Rydberg setup.

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