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Interaction-induced transition in the quantum chaotic dynamics of a disordered metal

TitleInteraction-induced transition in the quantum chaotic dynamics of a disordered metal
Publication TypeJournal Article
Year of Publication2019
Authors, , and V.. M. Galitski
JournalAnn. Phys.
Volume405
Pagination1-13
Date PublishedJUN
Type of ArticleArticle
ISSN0003-4916
Abstract

We demonstrate that a weakly disordered metal with short-range interactions exhibits a transition in the quantum chaotic dynamics when changing the temperature or the interaction strength. For weak interactions, the system displays exponential growth of the out-of-time-ordered correlator (OTOC) of the current operator. The Lyapunov exponent of this growth is temperature-independent in the limit of vanishing interaction. With increasing the temperature or the interaction strength, the system undergoes a transition to a non-chaotic behaviour, for which the exponential growth of the OTOC is absent. We conjecture that the transition manifests itself in the quasiparticle energy-level statistics and also discuss ways of its explicit observation in cold-atom setups. (C) 2019 Elsevier Inc. All rights reserved.

DOI10.1016/j.aop.2019.03.008