Quantum Brownian motion on potential surfaces coupled via tunneling in an external electric field[-2mm] |
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Authors: | EG Thrapsaniotis |
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Institution: | (1) 52 Vianou st. 13671 Athens, Aharnes, Greece, GR |
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Abstract: | The present paper deals with the motion of a Brownian particle on two identical but shifted potential surfaces, coupled via a tunneling matrix element in an external electric field. Dissipation is induced by a heat bath represented by an infinite
set of harmonic oscillators with a continuum range of frequencies. We derive a perturbative solution for the quantum coherence
term of the particle system after performing a small-polaron-like transformation. This is subsequently necessary for the extraction
of an equation that describes the reduced dynamics and the minimal action path of the Brownian particle. Finally we extract
expressions for the population relaxation rate and the pure quantum-dephasing rate of the two-level system.
Received 4 January 2001 and Received in final form 12 March 2001 |
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Keywords: | PACS 73 40 Gk Tunneling – 31 70 Hq Time-dependent phenomena: excitation and relaxation processes and reaction rates – 05 40 -a Fluctuation phenomena random processes noise and Brownian motion |
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