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  • Letter
  • Open Access

Reservoir-induced stabilization of a periodically driven many-body system

Thomas Veness and Kay Brandner

  • School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom

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Phys. Rev. E 108, L042102 – Published 27 October, 2023

DOI: https://doi.org/10.1103/PhysRevE.108.L042102

Abstract

Exploiting the rich phenomenology of periodically driven many-body systems is notoriously hindered by persistent heating in both the classical and the quantum realm. Here, we investigate to what extent coupling to a large thermal reservoir makes stabilization of a nontrivial steady state possible. To this end, we model both the system and the reservoir as classical spin chains where driving is applied through a rotating magnetic field, and we simulate the Hamiltonian dynamics of this setup. We find that the intuitive limits of infinite frequency and vanishing frequency, where the system dynamics is governed by the average and the instantaneous Hamiltonian, respectively, can be smoothly extended into entire regimes separated only by a small crossover region. At high frequencies, the driven system stroboscopically attains a Floquet-type Gibbs state at the reservoir temperature. At low frequencies, a global synchronized Gibbs state emerges, whose temperature may depart significantly from the initial temperature of the reservoir. Although our analysis in some parts relies on the specific properties of our setup, we argue that much of its phenomenology could be generic.

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Reservoir-induced stabilization of a periodically driven classical spin chain: Local versus global relaxation

Thomas Veness and Kay Brandner
Phys. Rev. E 108, 044147 (2023)

Article Text

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Outline

Information

Phys. Rev. E 108, L042102– Published 27 October, 2023
  • Received 30 August 2022
  • Revised 5 October 2023
  • Accepted 5 October 2023
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