Non-Markovian dynamics of quantum systems. II. Decay rate, capture, and pure states

On the basis of a master equation for the reduced density matrix of open quantum systems, we study the influence of time-dependent friction and diffusion coefficients on the decay rate from a potential well and the capture probability into a potential well. Taking into account the mixed diffusion co...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2005-01, Vol.71 (1 Pt 2), p.016122-016122, Article 016122
Main Authors: Palchikov, Yu V, Kanokov, Z, Adamian, G G, Antonenko, N V, Scheid, W
Format: Article
Language:English
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Summary:On the basis of a master equation for the reduced density matrix of open quantum systems, we study the influence of time-dependent friction and diffusion coefficients on the decay rate from a potential well and the capture probability into a potential well. Taking into account the mixed diffusion coefficient Dqp, the quasistationary decay rates are compared with the analytically derived Kramers-type formulas for different temperatures and frictions. The diffusion coefficients supplying the purity of states are derived for a non-Markovian dynamics.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.71.016122