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Sharp detection of the onset of Floquet heating using eigenstate sensitivity

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  • Sourav Bhattacharjee

    (ICFO-Institut de Ciéncies Fotòniques, The Barcelona Institute of Science and Technology)

  • Souvik Bandyopadhyay

    (Boston University)

  • Anatoli Polkovnikov

    (Boston University)

Abstract

Chaotic Floquet systems at sufficiently low driving frequencies are known to heat up to an infinite temperature ensemble in the thermodynamic limit. However at high driving frequencies, Floquet systems remain energetically stable in a robust prethermal phase with exponentially long heating times. We propose sensitivity (susceptibility) of Floquet eigenstates against infinitesimal deformations of the drive, as a sharp and sensitive measure to detect this heating transition. It also captures various regimes (timescales) of Floquet thermalization accurately. Particularly, we find that at low frequencies near the onset of unbounded heating, Floquet eigenstates are maximally sensitive to perturbations and consequently the scaled susceptibility develops a sharp maximum. We further connect our results to the relaxation dynamics of local observables to show that near the onset of Floquet heating, the system is nonergodic with slow glassy dynamics despite being nonintegrable at all driving frequencies. Graphical abstract

Suggested Citation

  • Sourav Bhattacharjee & Souvik Bandyopadhyay & Anatoli Polkovnikov, 2024. "Sharp detection of the onset of Floquet heating using eigenstate sensitivity," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(10), pages 1-15, October.
    • Handle: RePEc:spr:eurphb:v:97:y:2024:i:10:d:10.1140_epjb_s10051-024-00773-6
    DOI: 10.1140/epjb/s10051-024-00773-6
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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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    Cited by:

    1. Shraddha Sharma & Tanay Nag & Atanu Rajak & Souvik Bandyopadhyay & Sourav Bhattacharjee & Somnath Maity & Utso Bhattacharya, 2024. "Unquenched—a memoir on non-equilibrium dynamics of quantum many-body systems: honoring Amit Dutta," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(7), pages 1-16, July.

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