%0 Journal Article %J Ann. Phys. %D 2019 %T Interaction-induced transition in the quantum chaotic dynamics of a disordered metal %A S. V. Syzranov %A Alexey V. Gorshkov %A V. M. Galitski %X

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.

%B Ann. Phys. %V 405 %8 03/25/2019 %G eng %U https://arxiv.org/abs/1709.09296 %N 1 %R https://doi.org/10.1016/j.aop.2019.03.008