Duality Relation for Quantum Ratchets
Mesoscale and Nanoscale Physics
2007-06-13 v2 Statistical Mechanics
Abstract
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.
Cite
@article{arxiv.cond-mat/0407759,
title = {Duality Relation for Quantum Ratchets},
author = {J. Peguiron and M. Grifoni},
journal= {arXiv preprint arXiv:cond-mat/0407759},
year = {2007}
}
Comments
Modified content, corrected typos