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

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Peguiron, J. ; Grifoni, Milena
Date of publication of this fulltext: 18 Sep 2009 08:17


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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