Duality Relation for Quantum Ratchets
arXiv:cond-mat/0407759 · doi:10.1103/PhysRevE.71.010101
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.
Modified content, corrected typos
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Cited by in corpus (5)
- Scaling Theory of Quantum Ratchet
- Interplay between quantum dissipation and an in-plane magnetic field in the spin ratchet effect
- Quantum Brownian motion in ratchet potentials: duality relation and its consequences
- Quantum Ratchets at High Temperatures
- Effects of internal and external decoherence on the resonant transport and Anderson localization of fermionic particles in the tight-binding chain