Quantum Brownian motion in ratchet potentials: duality relation and its consequences

Details Quantum Brownian motion in ratchet potentials: duality relation and its consequences Quantum Brownian motion in ratchet potentials: duality relation and its consequences

2005-11-18

arxiv.org/abs/cond-mat/0511465v1

Chem. Phys. 322, 169 (2006)

Physics

Condensed Matter

Statistical Mechanics

Chemical Physics (in press)

Scientific paper

10.1016/j.chemphys.2005.07.004

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.

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