Sensitivity to small perturbations in systems of large quantum spins

Tarek A. Elsayed, Boris V. Fine

    Research output: Contribution to journalConference articlepeer-review

    21 Citations (Scopus)

    Abstract

    We investigate the sensitivity of nonintegrable large-spin quantum lattices to small perturbations with a particular focus on the time reversal experiments known in statistical physics as Loschmidt echoes and in nuclear magnetic resonance (NMR) as magic echoes. Our numerical simulations of quantum spin-71/2 clusters indicate that there is a regime where Loschmidt echoes exhibit nearly exponential sensitivity to small perturbations with characteristic onstant approximately equal to twice the value of the largest Lyapunov exponent of the corresponding classical spin clusters. The above theoretical results are verifiable by NMR experiments on solids containing large-spin nuclei.

    Original languageEnglish
    Article number014011
    JournalPhysica Scripta T
    Volume2015
    Issue numberT165
    DOIs
    Publication statusPublished - 7 Oct 2015
    EventFrontiers of Quantum and Mesoscopic Thermodynamics, FQMT 2013 - Prague, Czech Republic
    Duration: 29 Jul 20133 Aug 2013

    Keywords

    • chaos
    • quantum-classical correspondence
    • spin systems

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