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Emergence of Quantum Chaos in Finite Interacting Fermi Systems
Open accessAbstract
We study the level spacing statistics $P(s)$ in many-body Fermi systems and determine a critical two-body interaction strength ${U}_{c}$ at which a crossover from Poisson to Wigner-Dyson statistics takes place. Near the Fermi level, the results allow one to find a critical temperature ${T}_{\mathrm{ch}}$ above which quantum chaos and thermalization set in.
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Citations
Cited by
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Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
The statistical theory of quantum dots
Alhassid, Y. (2000) · Reviews of Modern Physics · doi:10.1103/revmodphys.72.895 · Cited by 673
Many-body localization: An introduction and selected topics
Alet, F., & Laflorencie, N. (2018) · Comptes Rendus. Physique · doi:10.1016/j.crhy.2018.03.003 · Cited by 640
The approach to thermal equilibrium in quantized chaotic systems
Srednicki, M. (1999) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/32/7/007 · Cited by 553
Santos, L. F., & Rigol, M. (2010) · Physical Review E · doi:10.1103/physreve.81.036206 · Cited by 368
Metadata
- Authors
- Jacquod, P., & Shepelyansky, D. L.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1997-09-08
- Volume
- 79
- Issue
- 10
- Pages
- 1837-1840
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2069996426
- Cited by
- 216
- References
- 0
- FWCI
- 12.69
- Type
- journal article
- Language
- en
- Open access
- green
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- Jacquod, P., & Shepelyansky, D. L. (1997). Emergence of Quantum Chaos in Finite Interacting Fermi Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.79.1837
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