The DOI matches its Crossref record.
Dissipative Quantum and Classical Liouville Mechanics of the Anharmonic Oscillator
Abstract
We present a solution for the dynamics of an anharmonic oscillator coupled to a zero-temperature heat bath. Comparison of observable properties in a classical and quantum description uses true joint phase-space probability densities. The time evolution of the density in the quantum case is rapidly "reduced" to that given in the classical description. The rate of reduction is proportional to the product of the damping rate and the oscillator's initial energy. Quite rapidly, typical quantum recurrence effects are destroyed and the classical "whorl" structure restored. We point out the close similarity with rapid destruction of quantum coherence through dissipation.
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
Cited by
Coherent states via decoherence.
Zurek, W. H., Habib, S., & Paz, J. P. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1187 · Cited by 679
Reduction of a wave packet in quantum Brownian motion
Unruh, W. G., & Zurek, W. H. (1989) · Physical Review D · doi:10.1103/physrevd.40.1071 · Cited by 599
Decoherence and the Transition from Quantum to Classical — Revisited
Zurek, W. H. (2006) · Quantum Decoherence · doi:10.1007/978-3-7643-7808-0_1 · Cited by 393
Multiphoton quantum optics and quantum state engineering
Dell’Anno, F., De Siena, S., & Illuminati, F. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.004 · Cited by 310
Metadata
- Authors
- Milburn, G. J., & Holmes, C. A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1986-05-26
- Volume
- 56
- Issue
- 21
- Pages
- 2237-2240
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2028710066
- Cited by
- 307
- References
- 0
- FWCI
- 11.07
- 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: Dissipative Quantum and Classical Liouville Mechanics of the Anharmonic Oscillator. https://app.cochat.ai/papers/10.1103/physrevlett.56.2237
- The paper
- Milburn, G. J., & Holmes, C. A. (1986). Dissipative Quantum and Classical Liouville Mechanics of the Anharmonic Oscillator. Physical Review Letters. https://doi.org/10.1103/physrevlett.56.2237
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.
