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Strong damping and low-temperature anomalies for the harmonic oscillator
Abstract
We consider Ullersma's model of a damped harmonic oscillator interacting with a heat bath. We show that for large damping the oscillator does not undergo Brownian motion at any temperature. For high temperatures non-Markovian effects show up in initial slips only. For low temperatures we find, as further anomalies, power-law decay of time-dependent expectation values as well as a strong squeezing of the displacement and momentum uncertainties; again these anomalies are most strongly pronounced for strong damping.
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Cites
Kubo, R. (1957) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.12.570 · Cited by 9,441
On the Quantum Correction For Thermodynamic Equilibrium
Wigner, E. (1932) · Physical Review · doi:10.1103/physrev.40.749 · Cited by 9,283
The fluctuation-dissipation theorem
Kubo, R. (1966) · Reports on Progress in Physics · doi:10.1088/0034-4885/29/1/306 · Cited by 5,094
On the Theory of the Brownian Motion
Uhlenbeck, G. E., & Ornstein, L. S. (1930) · Physical Review · doi:10.1103/physrev.36.823 · Cited by 4,482
Quantum tunnelling in a dissipative system
Caldeira, A. O., & Leggett, A. J. (1983) · Annals of Physics · doi:10.1016/0003-4916(83)90202-6 · Cited by 3,647
Irreversibility and Generalized Noise
Callen, H. B., & Welton, T. A. (1951) · Physical Review · doi:10.1103/physrev.83.34 · Cited by 3,051
Brownian Motion of a Quantum Oscillator
Schwinger, J. (1961) · Journal of Mathematical Physics · doi:10.1063/1.1703727 · Cited by 2,568
Walls, D. F. (1983) · Nature · doi:10.1038/306141a0 · Cited by 1,934
Kinetic equations from Hamiltonian dynamics: Markovian limits
Spohn, H. (1980) · Reviews of Modern Physics · doi:10.1103/revmodphys.52.569 · Cited by 1,013
Statistical Mechanics of Assemblies of Coupled Oscillators
Ford, G. W., Kac, M., & Mazur, P. (1965) · Journal of Mathematical Physics · doi:10.1063/1.1704304 · Cited by 963
Cited by
Decoherence, einselection, and the quantum origins of the classical
Zurek, W. H. (2003) · Reviews of Modern Physics · doi:10.1103/revmodphys.75.715 · Cited by 4,295
Hu, B. L., Paz, J. P., & Zhang, Y. (1992) · Physical Review D · doi:10.1103/physrevd.45.2843 · Cited by 996
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
Non-Markovian generalization of the Lindblad theory of open quantum systems
Breuer, H.-P. (2007) · Physical Review A · doi:10.1103/physreva.75.022103 · Cited by 196
An open quantum systems approach to proton tunnelling in DNA
Slocombe, L., Sacchi, M., & Al-Khalili, J. (2022) · Communications Physics · doi:10.1038/s42005-022-00881-8 · Cited by 122
Metadata
- Authors
- Haake, F., & Reibold, R.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1985-10-01
- Volume
- 32
- Issue
- 4
- Pages
- 2462-2475
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W2024799247
- Cited by
- 411
- References
- 24
- FWCI
- 10.96
- Type
- journal article
- Language
- en
- Open access
- closed
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