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  • Letter
  • Open Access

Localization persisting under aperiodic driving

Hongzheng Zhao1,2, Florian Mintert2, Johannes Knolle3,4,2, and Roderich Moessner1

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden, Germany
  • 2Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
  • 3Department of Physics TQM, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany
  • 4Munich Center for Quantum Science and Technology (MCQST), D-80799 Munich, Germany

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Phys. Rev. B 105, L220202 – Published 6 June, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L220202

Abstract

Localization may survive in periodically driven (Floquet) quantum systems, but is generally unstable for aperiodic drives. In this Letter, we identify a hidden conservation law originating from a chiral symmetry in a disordered spin-12 XX chain. This protects indefinitely long-lived localization for general—even aperiodic—drives. Therefore, rather counterintuitively, adding further potential disorder which spoils the conservation law delocalizes the system, via a controllable parametrically long-lived prethermal regime. This provides an example of persistent single-particle “localization without eigenstates.”

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Outline

Information

Phys. Rev. B 105, L220202– Published 6 June, 2022
  • Received 26 November 2021
  • Revised 5 February 2022
  • Accepted 23 May 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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