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Quantum Dynamics of System Strongly Coupled to Low-Temperature Colored Noise Bath: Reduced Hierarchy Equations Approach
Open accessAbstract
Reduced equations of motion for a two-level system strongly coupled to a harmonic oscillators bath are constructed by extending the hierarchy of equations introduced by Tanimura and Kubo [J. Phys. Soc. Jpn. 58 (1989) 101]. The set of equations treats the bath in a nonperturbative manner and is applicable to a low-temperature system with taking into account the correlation time of noise. By numerically calculating linear absorption spectra for different temperatures, we demonstrate that the present theory is not afflicted with the dynamical positivity problem that occurs at low temperatures without the rotating wave approximation. Remarkable changes are found in the spectra when the temperature is lower than the resonant energy of the two-level system.
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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
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-citation
Cited by
Ishizaki, A., & Fleming, G. R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3155372 · Cited by 734
Self-citationVibrations, quanta and biology
Huelga, S. F., & Plenio, M. B. (2013) · Contemporary Physics · doi:10.1080/00405000.2013.829687 · Cited by 568
Efficient Simulation of Strong System-Environment Interactions
Prior, J., Chin, A. W., Huelga, S. F., & Plenio, M. B. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.050404 · Cited by 480
Noise-assisted energy transfer in quantum networks and light-harvesting complexes
Chin, A. W., Datta, A., Caruso, F., Huelga, S. F., & Plenio, M. B. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065002 · Cited by 338
Chin, A. W., Rivas, Á., Huelga, S. F., & Plenio, M. B. (2010) · Journal of Mathematical Physics · doi:10.1063/1.3490188 · Cited by 320
Metadata
- Authors
- Ishizaki, A., & Tanimura, Y.
- Venue
- Journal of the Physical Society of Japan
- Publisher
- Physical Society of Japan
- Published
- 2005-12
- Volume
- 74
- Issue
- 12
- Pages
- 3131-3134
- ISSN
- 0031-9015 (ISSN-L)
- 1347-4073
- OpenAlex
- W1998081146
- Cited by
- 511
- References
- 2
- FWCI
- 2.25
- Type
- journal article
- Language
- en
- Open access
- hybrid
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- Ishizaki, A., & Tanimura, Y. (2005). Quantum Dynamics of System Strongly Coupled to Low-Temperature Colored Noise Bath: Reduced Hierarchy Equations Approach. Journal of the Physical Society of Japan. https://doi.org/10.1143/jpsj.74.3131
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