The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Chaos, Quantum Recurrences, and Anderson Localization
Abstract
A periodically kicked quantum rotator is related to the Anderson problem of conduction in a one-dimensional disordered lattice. Classically the second model is always chaotic, while the first is chaotic for some values of the parameters. With use of the Anderson-model result that all states are localized, it is concluded that the local quasienergy spectrum of the rotator problem is discrete and that its wave function is almost periodic in time. This allows one to understand on physical grounds some numerical results recently obtained in the context of the rotator problem.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Cited by
Theory and application of the quantum phase-space distribution functions
Lee, H.-W. (1995) · Physics Reports · doi:10.1016/0370-1573(95)00007-4 · Cited by 773
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
Sacha, K., & Zakrzewski, J. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa8b38 · Cited by 490
Observation of a Localization Transition in Quasiperiodic Photonic Lattices
Lahini, Y., Pugatch, R., Pozzi, F., Sorel, M., Morandotti, R., Davidson, N., & Silberberg, Y. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.013901 · Cited by 473
A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
Abanin, D., De Roeck, W., Ho, W. W., & Huveneers, F. (2017) · Communications in Mathematical Physics · doi:10.1007/s00220-017-2930-x · Cited by 299
Metadata
- Authors
- Fishman, S., Grempel, D. R., & Prange, R. E.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1982-08-23
- Volume
- 49
- Issue
- 8
- Pages
- 509-512
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2012935102
- Cited by
- 976
- References
- 1
- FWCI
- 14.01
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Chaos, Quantum Recurrences, and Anderson Localization. https://app.cochat.ai/papers/10.1103/physrevlett.49.509
- The paper
- Fishman, S., Grempel, D. R., & Prange, R. E. (1982). Chaos, Quantum Recurrences, and Anderson Localization. Physical Review Letters. https://doi.org/10.1103/physrevlett.49.509
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
