Duality Relation for Quantum Ratchets

Details Duality Relation for Quantum Ratchets Duality Relation for Quantum Ratchets

2004-07-29

arxiv.org/abs/cond-mat/0407759v2

Phys. Rev. E 71, 010101(R) (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Modified content, corrected typos

Scientific paper

10.1103/PhysRevE.71.010101

A duality relation between the long-time dynamics of a quantum Brownian particle in a tilted ratchet potential and a driven dissipative tight-binding model is reported. It relates a situation of weak dissipation in one model to strong dissipation in the other one, and vice versa. We apply this duality relation to investigate transport and rectification in ratchet potentials: From the linear mobility we infer ground-state delocalization for weak dissipation. We report reversals induced by adiabatic driving and temperature in the ratchet current and its dependence on the potential shape.

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