Physics – Condensed Matter
Scientific paper
2001-02-02
Ann. Phys. (N.Y.) 293, 15-66 (2001)
Physics
Condensed Matter
37 pages, 23 figures
Scientific paper
10.1006/aphy.2001.6174
A study of the dynamics of a tunneling particle in a driven bistable potential which is moderately-to-strongly coupled to a bath is presented. Upon restricting the system dynamics to the Hilbert space spanned by the M lowest energy eigenstates of the bare static potential, a set of coupled non-Markovian master equations for the diagonal elements of the reduced density matrix, within the discrete variale representation, is derived. The resulting dynamics is in good agreement with predictions of ab-initio real-time path integral simulations. Numerous results, analytical as well as numerical, for the quantum relaxation rate and for the asymptotic populations are presented. Our method is particularly convenient to investigate the case of shallow, time-dependent potential barriers and moderate-to-strong damping, where both a semi-classical and a Redfield-type approach are inappropriate.
grifoni Milena
Hänggi Peter
Thorwart Martin
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