Meier, Felix and Steinhuber, Mathias and Urbina, Juan Diego and Waltner, Daniel and Guhr, Thomas (2023) Signatures of the interplay between chaos and local criticality on the dynamics of scrambling in many-body systems. PHYSICAL REVIEW E, 107 (5): 054202. ISSN 2470-0045, 2470-0053
Full text not available from this repository. (Request a copy)Abstract
Fast scrambling, quantified by the exponential initial growth of out-of-time-ordered correlators (OTOCs), is the ability to efficiently spread quantum correlations among the degrees of freedom of interacting systems and constitutes a characteristic signature of local unstable dynamics. As such, it may equally manifest both in systems displaying chaos or in integrable systems around criticality. Here we go beyond these extreme regimes with an exhaustive study of the interplay between local criticality and chaos right at the intricate phase-space region where the integrability-chaos transition first appears. We address systems with a well-defined classical (mean-field) limit, as coupled large spins and Bose-Hubbard chains, thus allowing for semiclassical analysis. Our aim is to investigate the dependence of the exponential growth of the OTOCs, defining the quantum Lyapunov exponent lambda q on quantities derived from the classical system with mixed phase space, specifically the local stability exponent of a fixed point lambda locas well as the maximal Lyapunov exponent lambda L of the chaotic region around it. By extensive numerical simulations covering a wide range of parameters we give support to a conjectured linear dependence 2 lambda q = a lambda L + b lambda loc, providing a simple route to characterize scrambling at the border between chaos and integrability.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PYTHON FRAMEWORK; QUANTUM; LOCALIZATION; TRANSITION; QUTIP; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 Mar 2024 11:27 |
| Last Modified: | 12 Mar 2024 11:28 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59754 |
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