Interaction-induced transition in the quantum chaotic dynamics of a disordered metal
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.
Publication Details
- Authors
- Publication Type
- Journal Article
- Year of Publication
- 2019
- Journal
- Annals of Physics
- Volume
- 405
- Date Published
- 06/2019
- Pagination
- 1-13