The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Nonperturbative expansion method for a quantum system coupled to a harmonic-oscillator bath
Abstract
A method to determine the resolvent of a quantum system coupled to a harmonic-oscillator bath is derived by extending the continued-fraction theory of a Gaussian-Markovian bath that has been presented by Tanimura and Kubo [J. Phys. Soc. Jpn. 58, 101 (1989)]. The results are expressed in terms of continued fractions and apply to an oscillator bath with a general spectral density, corresponding to colored noise, at various temperatures. Exact values of the resolvent can be calculated for arbitrary strength of the system-bath interaction by making use of the convergence properties of the continued fractions. For the weak-interaction case these results agree with the quantum master equation. The physical meaning of the results is also discussed by a diagrammatic method. As an application, the result of the Gaussian-Markovian system is extended to the case of the low-temperature bath. Correlated (unfactorized) initial conditions are also discussed.
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Citations
Cites
Dynamics of the dissipative two-state system
Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A., & Zwerger, W. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.1 · Cited by 5,109
Completely positive dynamical semigroups of N -level systems
Gorini, V., Kossakowski, A., & Sudarshan, E. C. G. (1976) · Journal of Mathematical Physics · doi:10.1063/1.522979 · Cited by 3,998
Kinetic equations from Hamiltonian dynamics: Markovian limits
Spohn, H. (1980) · Reviews of Modern Physics · doi:10.1103/revmodphys.52.569 · Cited by 1,013
Davies, E. B. (1974) · Communications in Mathematical Physics · doi:10.1007/bf01608389 · Cited by 934
The proper form of the generator in the weak coupling limit
D�mcke, R., & Spohn, H. (1979) · Zeitschrift f�r Physik B Condensed Matter and Quanta · doi:10.1007/bf01325208 · Cited by 192
Cited by
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
Self-citationTanaka, M., & Tanimura, Y. (2010) · The Journal of Chemical Physics · doi:10.1063/1.3428674 · Cited by 101
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Metadata
- Authors
- Tanimura, Y.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1990-06-01
- Volume
- 41
- Issue
- 12
- Pages
- 6676-6687
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2088115298
- Cited by
- 335
- References
- 5
- FWCI
- 1.49
- Type
- journal article
- Language
- en
- Open access
- closed
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- Tanimura, Y. (1990). Nonperturbative expansion method for a quantum system coupled to a harmonic-oscillator bath. Physical Review A. https://doi.org/10.1103/physreva.41.6676
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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).
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