The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
The approach to thermal equilibrium in quantized chaotic systems
Open accessAbstract
We consider many-body quantum systems that exhibit quantum chaos, in the sense that the observables of interest act on energy eigenstates like banded random matrices. We study the time-dependent expectation values of these observables, assuming that the system is in a definite (but arbitrary) pure quantum state. We induce a probability distribution for the expectation values by treating the zero of time as a uniformly distributed random variable. We show explicitly that if an observable has a non-equilibrium expectation value at some particular moment, then it is overwhelmingly likely to move towards equilibrium, both forwards and backwards in time. For deviations from equilibrium that are not much larger than a typical quantum or thermal fluctuation, we find that the time dependence of the move towards equilibrium is given by the Kubo correlation function, in agreement with Onsager's postulate. These results are independent of the details of the system's quantum state.
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Cites
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Cited by
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems
Polkovnikov, A., Sengupta, K., Silva, A., & Vengalattore, M. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.863 · Cited by 2,562
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics
D'Alessio, L., Kafri, Y., Polkovnikov, A., & Rigol, M. (2016) · Advances in Physics · doi:10.1080/00018732.2016.1198134 · Cited by 2,330
Time Evolution of Local Observables After Quenching to an Integrable Model
Caux, J.-S., & Essler, F. H. L. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.257203 · Cited by 566
Quantum chaos and thermalization in isolated systems of interacting particles
Borgonovi, F., Izrailev, F. M., Santos, L. F., & Zelevinsky, V. G. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.02.005 · Cited by 386
Periodically driven ergodic and many-body localized quantum systems
Ponte, P., Chandran, A., Papić, Z., & Abanin, D. A. (2015) · Annals of Physics · doi:10.1016/j.aop.2014.11.008 · Cited by 342
Metadata
- Authors
- Srednicki, M.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1999-01-01
- Volume
- 32
- Issue
- 7
- Pages
- 1163-1175
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W1977411678
- Cited by
- 553
- References
- 29
- FWCI
- 0.55
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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