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  • Letter
  • Open Access

Prethermalization and thermalization in periodically driven many-body systems away from the high-frequency limit

Christoph Fleckenstein1,2,* and Marin Bukov3,4,†

  • 1Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
  • 2Department of Physics, KTH Royal Institute of Technology, SE-106 91 Stockholm, Sweden
  • 3Department of Physics, University of California, Berkeley, California 94720, USA
  • 4Department of Physics, St. Kliment Ohridski University of Sofia, 5 James Bourchier Blvd, 1164 Sofia, Bulgaria

  • *christoph.fleckenstein@physik.uni-wuerzburg.de
  • †mgbukov@phys.uni-sofia.bg
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Phys. Rev. B 103, L140302 – Published 26 April, 2021

DOI: https://doi.org/10.1103/PhysRevB.103.L140302

Abstract

We investigate a class of periodically driven many-body systems that allows us to extend the phenomenon of prethermalization to the vicinity of isolated intermediate-to-low drive frequencies away from the high-frequency limit. We provide numerical evidence for the formation of a parametrically long-lived prethermal plateau, captured by an effective Floquet Hamiltonian computed using the replica inverse-frequency expansion, and demonstrate its stability with respect to random perturbations in the drive period. Considering exclusively nonintegrable Floquet Hamiltonians, we find that heating rates are nonuniversal: we observe Fermi's golden rule scaling, power-law scaling inconsistent with the golden rule, and non-power-law scaling, depending on the drive. Despite the asymptotic character of the inverse-frequency expansion, we show that it describes the thermostatic properties of the state all along the evolution up to infinite temperature, with higher-order terms improving the accuracy. Our results suggest a dynamical mechanism to gradually increase the temperature in isolated quantum simulators, such as ultracold atoms, and open up an alternative possibility to investigate thermal phase transitions and the interplay between thermal and quantum criticality using Floquet drives.

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Thermalization and prethermalization in periodically kicked quantum spin chains

Christoph Fleckenstein and Marin Bukov
Phys. Rev. B 103, 144307 (2021)

Article Text

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Outline

Information

Phys. Rev. B 103, L140302– Published 26 April, 2021
  • Received 13 January 2021
  • Revised 10 March 2021
  • Accepted 9 April 2021
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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. Funded by Bibsam.

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