dorsal/arxiv
View SchemaStochastic unraveling of Redfield master equations and its application to electron transfer problems
| Authors | Ivan Kondov, Ulrich Kleinekathoefer, Michael Schreiber |
|---|---|
| Categories | |
| ArXiv ID | physics/0307050 |
| URL | https://arxiv.org/abs/physics/0307050 |
| DOI | 10.1063/1.1605095 |
| Journal | J. Chem. Phys. 119, 6635 (2003) |
Abstract
A method for stochastic unraveling of general time-local quantum master equations (QMEs) is proposed. The present kind of jump algorithm allows a numerically efficient treatment of QMEs which are not in Lindblad form, i.e. are not positive semidefinite by definition. The unraveling can be achieved by allowing for trajectories with negative weights. Such a property is necessary, e.g. to unravel the Redfield QME and to treat various related problems with high numerical efficiency. The method is successfully tested on the damped harmonic oscillator and on electron transfer models including one and two reaction coordinates. The obtained results are compared to those from a direct propagation of the reduced density matrix (RDM) as well as from the standard quantum jump method. Comparison of the numerical efficiency is performed considering both the population dynamics and the RDM in the Wigner phase space representation.
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"abstract": "A method for stochastic unraveling of general time-local quantum master\nequations (QMEs) is proposed. The present kind of jump algorithm allows a\nnumerically efficient treatment of QMEs which are not in Lindblad form, i.e.\nare not positive semidefinite by definition. The unraveling can be achieved by\nallowing for trajectories with negative weights. Such a property is necessary,\ne.g. to unravel the Redfield QME and to treat various related problems with\nhigh numerical efficiency. The method is successfully tested on the damped\nharmonic oscillator and on electron transfer models including one and two\nreaction coordinates. The obtained results are compared to those from a direct\npropagation of the reduced density matrix (RDM) as well as from the standard\nquantum jump method. Comparison of the numerical efficiency is performed\nconsidering both the population dynamics and the RDM in the Wigner phase space\nrepresentation.",
"arxiv_id": "physics/0307050",
"authors": [
"Ivan Kondov",
"Ulrich Kleinekathoefer",
"Michael Schreiber"
],
"categories": [
"physics.chem-ph",
"physics.comp-ph"
],
"doi": "10.1063/1.1605095",
"journal_ref": "J. Chem. Phys. 119, 6635 (2003)",
"title": "Stochastic unraveling of Redfield master equations and its application to electron transfer problems",
"url": "https://arxiv.org/abs/physics/0307050"
},
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