TY - JOUR T1 - Interaction-induced transition in the quantum chaotic dynamics of a disordered metal JF - Ann. Phys. Y1 - 2019 A1 - S. V. Syzranov A1 - Alexey V. Gorshkov A1 - V. M. Galitski AB -

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.

VL - 405 UR - https://arxiv.org/abs/1709.09296 CP - 1 U5 - https://doi.org/10.1016/j.aop.2019.03.008 ER -