Stabilizing Disorder-Free Localization

• URL: http://arxiv.org/abs/2111.02427v2
• Date: Thu, 6 Jan 2022 16:44:31 GMT
• Title: Stabilizing Disorder-Free Localization
• Authors: Jad C. Halimeh, Hongzheng Zhao, Philipp Hauke, Johannes Knolle
• Abstract summary: Disorder-free localization is a paradigm of nonergodicity in translation-in quantum many-body systems hosting gauge symmetries. We show that translation-invariant textitsingle-body gauge terms induce a quantum Zeno effect that reliably protects disorder-free localization against errors up to times in the protection strength.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Disorder-free localization is a paradigm of nonergodicity in translation-invariant quantum many-body systems hosting gauge symmetries. The quench dynamics starting from simple initial states, which correspond to extensive superpositions of gauge superselection sectors, exhibits many-body localization with the system dynamically inducing its own disorder. An open question concerns the stability of disorder-free localization in the presence of gauge-breaking errors, and whether processes due to the latter can be controllably suppressed. Here, we show that translation-invariant \textit{single-body gauge terms} induce a quantum Zeno effect that reliably protects disorder-free localization against errors up to times at least polynomial in the protection strength. Our experimentally feasible scheme not only shows that disorder-free localization can be reliably stabilized, but also opens promising prospects for its observation in quantum simulators.

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