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Duality relation for quantum ratchets.

Authors
Type
Published Article
Journal
Physical Review E
1539-3755
Publisher
American Physical Society
Publication Date
Volume
71
Issue
1 Pt 1
Pages
10101–10101
Identifiers
PMID: 15697569
Source
Medline

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.

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