Geiger, Benjamin and Urbina, Juan Diego and Richter, Klaus (2021) Emergence of a Renormalized 1/N Expansion in Quenched Critical Many-Body Systems. PHYSICAL REVIEW LETTERS, 126 (11): 110602. ISSN 0031-9007, 1079-7114
Full text not available from this repository.Abstract
We consider the fate of 1/N expansions in unstable many-body quantum systems, as realized by a quench across criticality, and show the emergence of e(2 lambda t)/N as a renormalized parameter ruling the quantum-classical transition and accounting nonperturbatively for the local divergence rate lambda of mean-field solutions. In terms of e(2 lambda t)/N, quasiclassical expansions of paradigmatic examples of criticality, like the self-trapping transition in an integrable Bose-Hubbard dimer and the generic instability of attractive bosonic systems toward soliton formation, are pushed to arbitrarily high orders. The agreement with numerical simulations supports the general nature of our results in the appropriately combined long-time lambda t -> infinity quasiclassical N -> infinity regime, out of reach of expansions in the bare parameter 1/N. For scrambling in many-body hyperbolic systems, our results provide formal grounds to a conjectured multiexponential form of out-of-time-ordered correlators.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM PHASE-TRANSITIONS; DYNAMICS; MECHANICS; GASES |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Jul 2022 06:41 |
| Last Modified: | 07 Jul 2022 06:41 |
| URI: | https://pred.uni-regensburg.de/id/eprint/45857 |
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