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QUANTUM MECHANICS OF DISSIPATIVE SYSTEMS
Abstract
▪ Abstract Quantum dissipation involves both energy relaxation and decoherence, leading toward quantum thermal equilibrium. There are several theoretical prescriptions of quantum dissipation but none of them is simple enough to be treated exactly in real applications. As a result, formulations in different prescriptions are practically used with different approximation schemes. This review examines both theoretical and application aspects on various perturbative formulations, especially those that are exact up to second-order but nonequivalent in high-order system-bath coupling contributions. Discrimination is made in favor of an unconventional formulation that in a sense combines the merits of both the conventional time-local and memory-kernel prescriptions, where the latter is least favorite in terms of the applicability range of parameters for system-bath coupling, non-Markovian, and temperature. Also highlighted is the importance of correlated driving and disspation effects, not only on the dynamics under strong external field driving, but also in the calculation of field-free correlation and response functions.
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Cites
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548
Reaction-rate theory: fifty years after Kramers
Hänggi, P., Talkner, P., & Borkovec, M. (1990) · Reviews of Modern Physics · doi:10.1103/revmodphys.62.251 · Cited by 6,154
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938
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
Description of States in Quantum Mechanics by Density Matrix and Operator Techniques
Fano, U. (1957) · Reviews of Modern Physics · doi:10.1103/revmodphys.29.74 · Cited by 1,975
Density Matrix Theory and Applications
Blum, K. (2012) · Springer Series on Atomic, Optical, and Plasma Physics · doi:10.1007/978-3-642-20561-3 · Cited by 1,936
Quantum Dynamical Semigroups and Applications
(2007) · Lecture Notes in Physics · doi:10.1007/3-540-70861-8 · Cited by 1,182
Hu, B. L., Paz, J. P., & Zhang, Y. (1992) · Physical Review D · doi:10.1103/physrevd.45.2843 · Cited by 996
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
Metadata
- Authors
- Yan, Y., & Xu, R.
- Venue
- Annual Review of Physical Chemistry
- Publisher
- Annual Reviews
- Published
- 2005-05-05
- Volume
- 56
- Issue
- 1
- Pages
- 187-219
- ISSN
- 0066-426X (ISSN-L)
- 1545-1593
- OpenAlex
- W2117524707
- Cited by
- 190
- References
- 10
- FWCI
- 0.87
- Type
- journal article
- Language
- en
- Open access
- closed
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- Yan, Y., & Xu, R. (2005). QUANTUM MECHANICS OF DISSIPATIVE SYSTEMS. Annual Review of Physical Chemistry. https://doi.org/10.1146/annurev.physchem.55.091602.094425
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