Estimating ergodization time of a chaotic many-particle system from a time reversal of equilibrium noise

Andrei E. Tarkhov, Boris V. Fine

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    8 Citations (Scopus)

    Abstract

    We propose a method of estimating ergodization time of a chaotic many-particle system by monitoring equilibrium noise before and after time reversal of dynamics (Loschmidt echo). The ergodization time is defined as the characteristic time required to extract the largest Lyapunov exponent from a system's dynamics. We validate the method by numerical simulation of an array of coupled Bose-Einstein condensates in the regime describable by the discrete Gross-Pitaevskii equation. The quantity of interest for the method is a counterpart of out-of-time-order correlators in the quantum regime.

    Original languageEnglish
    Article number123021
    JournalNew Journal of Physics
    Volume20
    Issue number12
    DOIs
    Publication statusPublished - 21 Dec 2018

    Keywords

    • chaotic many-particle systems
    • ergodization time
    • Loschmidt echo
    • Lyapunov exponent
    • out-of-time-order correlators

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