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  • Letter
  • Open Access

Temporal disorder in spatiotemporal order

Hongzheng Zhao1, Johannes Knolle2,3,4, and Roderich Moessner1

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

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Phys. Rev. B 108, L100203 – Published 15 September, 2023

DOI: https://doi.org/10.1103/PhysRevB.108.L100203

Abstract

Time-dependent driving holds the promise of realizing dynamical phenomena absent in static systems. Here, we introduce a correlated random driving protocol to realize a spatiotemporal order that cannot be achieved even by periodic driving, thereby extending the discussion of time translation symmetry breaking to randomly driven systems. We find a combination of temporally disordered micromotion with prethermal stroboscopic spatiotemporal long-range order. This spatiotemporal order remains robust against generic perturbations, with an algebraically long prethermal lifetime where the scaling exponent strongly depends on the symmetry of the perturbation, which we account for analytically.

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Information

Phys. Rev. B 108, L100203– Published 15 September, 2023
  • Received 6 December 2022
  • Revised 28 August 2023
  • Accepted 29 August 2023
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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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