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arXiv · 2111.13558

Localization persisting under aperiodic driving

Hongzheng Zhao·Florian Mintert·Johannes Knolle·Roderich Moessner
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Abstract

Localization may survive in periodically driven (Floquet) quantum systems, but is generally unstable for aperiodic drives. In this work, we identify a hidden conservation law originating from a chiral symmetry in a disordered spin-1/2 XX chain. This protects indefinitely long-lived localization for general--even aperiodic--drives. Therefore, rather counter-intuitively, adding further potential disorder which spoils the conservation law delocalizes the system, via a controllable parametrically long-lived prethermal regime. This provides a first example of persistent single-particle `localization without eigenstates'.

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cond-mat.dis-nncond-mat.stat-mechcond-mat.str-elquant-ph

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Hongzheng Zhao, Florian Mintert, Johannes Knolle, Roderich Moessner. 2021-11-26. Localization persisting under aperiodic driving. https://doi.org/10.1103/physrevb.105.l220202

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