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Time Evolution of a Quantum System in Contact with a Nearly Gaussian-Markoffian Noise Bath
Open accessAbstract
A test system is assumed to interact with a heat bath consisting of harmonic oscillators or an equivalent bath with a proper frequency spectrum producing a Gaussian-Markoffian random perturbation. The effect of reaction of the test system to the bath is considered in the high temperature approximation. Elimination of the bath using the influence functional method of Feynman and Vernon yields a continuous fraction expression for the reduced density matrix of the test system. The result affords a basis to clarify the relationship between the stochastic and the dynamical approaches to treat the problem of partial destruction of quantum coherence of a system interacting with its environment.
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Citations
Cites
Macroscopic Quantum Systems and the Quantum Theory of Measurement
Leggett, A. J. (1980) · Progress of Theoretical Physics Supplement · doi:10.1143/ptps.69.80 · Cited by 674
Cited by
Ishizaki, A., & Fleming, G. R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3155372 · Cited by 734
Vibrations, quanta and biology
Huelga, S. F., & Plenio, M. B. (2013) · Contemporary Physics · doi:10.1080/00405000.2013.829687 · Cited by 568
Understanding the Surface Hopping View of Electronic Transitions and Decoherence
Subotnik, J. E., Jain, A., Landry, B., Petit, A., Ouyang, W., & Bellonzi, N. (2016) · Annual Review of Physical Chemistry · doi:10.1146/annurev-physchem-040215-112245 · Cited by 438
Non-classicality of the molecular vibrations assisting exciton energy transfer at room temperature
O’Reilly, E. J., & Olaya-Castro, A. (2014) · Nature Communications · doi:10.1038/ncomms4012 · Cited by 230
Quantum and classical Fokker-Planck equations for a Gaussian-Markovian noise bath
Tanimura, Y., & Wolynes, P. G. (1991) · Physical Review A · doi:10.1103/physreva.43.4131 · Cited by 224
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Metadata
- Authors
- Tanimura, Y., & Kubo, R.
- Venue
- Journal of the Physical Society of Japan
- Publisher
- Physical Society of Japan
- Published
- 1989-01-15
- Volume
- 58
- Issue
- 1
- Pages
- 101-114
- ISSN
- 0031-9015 (ISSN-L)
- 1347-4073
- OpenAlex
- W2090062662
- Cited by
- 1,013
- References
- 1
- FWCI
- 2.28
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- Tanimura, Y., & Kubo, R. (1989). Time Evolution of a Quantum System in Contact with a Nearly Gaussian-Markoffian Noise Bath. Journal of the Physical Society of Japan. https://doi.org/10.1143/jpsj.58.101
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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.
