Quantum Brownian motion in ratchet potentials: duality relation and its consequences
Statistical Mechanics
2007-06-13 v1
Abstract
Quantum Brownian motion in ratchet potentials is investigated by means of an approach based on a duality relation. This relation links the long-time dynamics in a tilted ratchet potential in the presence of dissipation with the one in a driven dissipative tight-binding model. The application to quantum ratchet yields a simple expression for the ratchet current in terms of the transition rates in the tight-binding system.
Keywords
Cite
@article{arxiv.cond-mat/0511465,
title = {Quantum Brownian motion in ratchet potentials: duality relation and its consequences},
author = {J. Peguiron and M. Grifoni},
journal= {arXiv preprint arXiv:cond-mat/0511465},
year = {2007}
}
Comments
Chemical Physics (in press)