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Stalled response near thermal equilibrium in periodically driven systems

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  • Lennart Dabelow

    (RIKEN Center for Emergent Matter Science (CEMS)
    Queen Mary University of London)

  • Peter Reimann

    (Bielefeld University)

Abstract

The question of how systems respond to perturbations is ubiquitous in physics. Predicting this response for large classes of systems becomes particularly challenging if many degrees of freedom are involved and linear response theory cannot be applied. Here, we consider isolated many-body quantum systems which either start out far from equilibrium and then thermalize, or find themselves near thermal equilibrium from the outset. We show that time-periodic perturbations of moderate strength, in the sense that they do not heat up the system too quickly, give rise to the following phenomenon of stalled response: While the driving usually causes quite considerable reactions as long as the unperturbed system is far from equilibrium, the driving effects are strongly suppressed when the unperturbed system approaches thermal equilibrium. Likewise, for systems prepared near thermal equilibrium, the response to the driving is barely noticeable right from the beginning. Numerical results are complemented by a quantitatively accurate analytical description and by simple qualitative arguments.

Suggested Citation

  • Lennart Dabelow & Peter Reimann, 2024. "Stalled response near thermal equilibrium in periodically driven systems," Nature Communications, Nature, vol. 15(1), pages 1-10, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-023-44487-2
    DOI: 10.1038/s41467-023-44487-2
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    References listed on IDEAS

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    1. Marcos Rigol & Vanja Dunjko & Maxim Olshanii, 2008. "Thermalization and its mechanism for generic isolated quantum systems," Nature, Nature, vol. 452(7189), pages 854-858, April.
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