The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Stability of quantum motion in chaotic and regular systems
Abstract
The evolution of a quantum state is altered when a small perturbation is added to the Hamiltonian. As time progresses, the overlap of the perturbed and unperturbed states gives an indication of the stability of quantum motion. It is shown that if a quantum system has a classically chaotic analog, this overlap tends to a very small value, with small fluctuations. On the other hand, if the classical analog is regular, the overlap remains appreciable (on a time average) and its fluctuations are much larger.
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Cites
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Ergodicity and mixing in quantum theory. I
Peres, A. (1984) · Physical Review A · doi:10.1103/physreva.30.504 · Cited by 135
Self-citationQuantum Kolmogorov-Arnol'd-Moser-like Theorem: Fundamentals of Localization in Quantum Theory
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Reversible logic and quantum computers
Peres, A. (1985) · Physical Review A · doi:10.1103/physreva.32.3266 · Cited by 892
Self-citationDynamical quantum phase transitions: a review
Heyl, M. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aaaf9a · Cited by 678
Dynamics of Loschmidt echoes and fidelity decay
Gorin, T., Prosen, T., Seligman, T. H., & Žnidarič, M. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.09.003 · Cited by 623
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Metadata
- Authors
- Peres, A.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1984-10-01
- Volume
- 30
- Issue
- 4
- Pages
- 1610-1615
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2086818467
- Cited by
- 657
- References
- 13
- FWCI
- 2.35
- Type
- journal article
- Language
- en
- Open access
- closed
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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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