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
AuthorsSyzranov, SV, Gorshkov, AV, Galitski, VM
JournalAnn. Phys.
Volume405
Issue1
Date Published03/25/2019
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.

URLhttps://arxiv.org/abs/1709.09296