01253nas a2200145 4500008004100000245008900041210006900130260001500199490000800214520078100222100002101003700002501024700002101049856003701070 2019 eng d00aInteraction-induced transition in the quantum chaotic dynamics of a disordered metal0 aInteractioninduced transition in the quantum chaotic dynamics of c03/25/20190 v4053 a
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.
1 aSyzranov, S., V.1 aGorshkov, Alexey, V.1 aGalitski, V., M. uhttps://arxiv.org/abs/1709.09296