Hummel, Quinn and Geiger, Benjamin and Urbina, Juan Diego and Richter, Klaus (2019) Reversible Quantum Information Spreading in Many-Body Systems near Criticality. PHYSICAL REVIEW LETTERS, 123 (16): 160401. ISSN 0031-9007, 1079-7114
Full text not available from this repository. (Request a copy)Abstract
Quantum chaotic interacting N-particle systems are assumed to show fast and irreversible spreading of quantum information on short (Ehrenfest) time scales similar to log N. Here, we show that, near criticality, certain many-body systems exhibit fast initial scrambling, followed subsequently by oscillatory behavior between reentrant localization and delocalization of information in Hilbert space. We consider both integrable and nonintegrable quantum critical bosonic systems with attractive contact interaction that exhibit locally unstable dynamics in the corresponding many-body phase space of the large-N limit. Semiclassical quantization of the latter accounts for many-body correlations in excellent agreement with simulations. Most notably, it predicts an asymptotically constant local level spacing (h) over bar/tau, again given by tau similar to log N. This unique timescale governs the long-time behavior of out-of-time-order correlators that feature quasiperiodic recurrences indicating reversibility.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PHASE-TRANSITIONS; BOSE-GAS; THERMALIZATION; LOCALIZATION; CHAOS; DYNAMICS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 25 Mar 2020 10:19 |
| Last Modified: | 25 Mar 2020 10:19 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26003 |
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