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Variational calculation of the dynamics of a two level system interacting with a bath
Abstract
A variational calculation of the dynamics of a two level system interacting with a bath is presented. The effective tunneling matrix element is renormalized by the interaction with the bath. For the case of a bath with ohmic dissipation (or infrared divergence), the variational calculation gives a vanishing tunneling at T=0 for critical values of the coupling and gives a highly unusual temperature dependence for the tunneling rate for large kT, all of which agree with recent path integral calculations. The present method also yields results for intermediate temperatures and coupling. This indicates that a judicious choice of the zeroth order Hamiltonian to include the major part of the coupling can lead to correct results even in low order perturbation theory.
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Citations
Cites
Two state systems in media and “Turing's paradox”
Harris, R. A., & Stodolsky, L. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)90169-1 · Cited by 161
Self-citation
Cited by
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
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
Ishizaki, A., & Fleming, G. R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3155372 · Cited by 734
Ishizaki, A., & Fleming, G. R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3155214 · Cited by 430
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
Metadata
- Authors
- Silbey, R., & Harris, R. A.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1984-03-15
- Volume
- 80
- Issue
- 6
- Pages
- 2615-2617
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2031290185
- Cited by
- 470
- References
- 1
- FWCI
- 12.38
- Type
- journal article
- Language
- en
- Open access
- closed
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- Silbey, R., & Harris, R. A. (1984). Variational calculation of the dynamics of a two level system interacting with a bath. The Journal of Chemical Physics. https://doi.org/10.1063/1.447055
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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.
