Quantum Recurrence Theorem
Abstract
A recurrence theorem is proved, which is the quantum analog of the recurrence theorem of Poincaré. Some statistical consequences of the theorem are stressed.Received 9 October 1956DOI:https://doi.org/10.1103/PhysRev.107.337©1957 American Physical Society
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For systems strongly perturbed away from equilibrium, the validity of Gaussian decay can extend well beyond the short-time regime.
“Yet, for systems strongly perturbed away from equilibrium, the validity of this Gaussian decay can extend well beyond the short-time regime [25].”
From Scrambling the spectral form factor: Unitarity constraints and exact results (2017) · cites this paper as [25]
Under quite general conditions, a power-law decay holds.
“Under quite general conditions, a power-law decay holds, as has been demonstrated in single-particle [23], few-body [30] and many-body systems [25, 31-33].”
From Scrambling the spectral form factor: Unitarity constraints and exact results (2017) · cites this paper as [25]
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- Authors
- Bocchieri, P., & Loinger, A.
- Affiliations
- Istituto Nazionale di Fisica Nucleare (IT)
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1957-07-15
- Volume
- 107
- Issue
- 2
- Pages
- 337-338
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W1982874713
- Cited by
- 288
- References
- 3
- Citations by year
- 2026: 18 · 2025: 14 · 2024: 13 · 2023: 18 · 2022: 12 · 2021: 14 · 2020: 12 · 2019: 14 · 2018: 19 · 2017: 15 · 2016: 15 · 2015: 9 · 2014: 10 · 2013: 13 · 2012: 11
- FWCI
- 1.40
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- recurrence theorem, Poincaré recurrence, quantum recurrence, quantum statistical mechanics, statistical mechanics
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