The DOI matches its Crossref record; 52 of the 52 references it cites were found in a registry or an index.
Solution of the Redfield equation for the dissipative quantum dynamics of multilevel systems
Abstract
We present a new method for solving the Redfield equation, which describes the evolution of the reduced density matrix of a multilevel quantum-mechanical system interacting with a thermal bath. The method is based on a new decomposition of the Redfield relaxation tensor that makes possible its direct application to the density matrix without explicit construction of the full tensor. In the resulting expressions, only ordinary matrices are involved and so any quantum system whose Hamiltonian can be diagonalized can be treated with the full Redfield theory. To efficiently solve the equation of motion for the density matrix, we introduce a generalization of the short-iterative-Lanczos propagator. Together, these contributions allow the complete Redfield theory to be applied to significantly larger systems than was previously possible. Several model calculations are presented to illustrate the methodology, including one example with 172 quantum states.
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Cites
Stochastic Processes in Physics and Chemistry
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Cited by
Multidimensional Femtosecond Correlation Spectroscopies of Electronic and Vibrational Excitations
Mukamel, S. (2000) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.51.1.691 · Cited by 894
Ishizaki, A., & Fleming, G. R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3155214 · Cited by 430
The Redfield Equation in Condensed‐Phase Quantum Dynamics
Pollard, W. T., Felts, A. K., & Friesner, R. A. (1996) · Advances in Chemical Physics · doi:10.1002/9780470141526.ch3 · Cited by 141
Self-citationPerturbative treatment of intercenter coupling in the framework of Redfield theory
Kleinekathöfer, U., Kondov, I., & Schreiber, M. (2001) · Chemical Physics · doi:10.1016/s0301-0104(01)00288-9 · Cited by 35
Metadata
- Authors
- Pollard, W. T., & Friesner, R. A.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1994-04-01
- Volume
- 100
- Issue
- 7
- Pages
- 5054-5065
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2028847674
- Cited by
- 277
- References
- 52
- FWCI
- 10.50
- Type
- journal article
- Language
- en
- Open access
- closed
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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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