Quantum bounds from fluctuation-dissipation relations

ORAL

Abstract

One may express the out of time order correlators (OTOC) as two-point functions in a replicated space. The quantum bound to chaos derives then from the usual quantum fluctuation-dissipation relations (FDT). Motivated by this result, I will discuss how the quantum FDT acts as a blurring (on a Planckian timescale) of general two-point functions expressed in the time-domain, thus imposing bounds on their rate of change.

*SP and JK are supported by the Simons Foundation Grant. No 454943. This work is supported by "Investissements d'Avenir" LabEx PALM (ANR-10-LABX-0039-PALM) (EquiDystant project, LF).

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Publication: Quantum bounds and fluctuation-dissipation relations, S Pappalardi, L Foini, J Kurchan - arXiv preprint arXiv:2110.03497, 2021

Presenters

  • Silvia Pappalardi

    • Ecole Normale Superieure
    • Laboratoire de Physique de l'École normale supérieure

Authors

  • Silvia Pappalardi

    • Ecole Normale Superieure
    • Laboratoire de Physique de l'École normale supérieure

  • Laura Foini

    • IPhT, CNRS, CEA, Université Paris Saclay

  • Jorge Kurchan

    • Laboratoire de Physique de l'École normale supérieure
    • Laboratoire de Physique de l'Ecole Normale Supérieure