Quantum Ratchets at High Temperatures
arXiv:cond-mat/0412566 · doi:10.1016/j.physe.2005.05.043
Abstract
Using the continued-fraction method we solve the Caldeira-Leggett master equation in the phase-space (Wigner) representation to study Quantum ratchets. Broken spatial symmetry, irreversibility and periodic forcing allows for a net current in these systems. We calculate this current as a function of the force under adiabatic conditions. Starting from the classical limit we make the system quantal. In the quantum regime tunnel events and over-barrier wave reflection phenomena modify the classical result. Finally, using the phase-space formalism we give some insights about the decoherence in these systems.
submitted to Physia E (proceedings of conference "Frontiers of Quantum and Mesoscopic Thermodynamics", Prague 26-29 July 2004)
References in corpus (10)
- Decoherence, einselection, and the quantum origins of the classical
- Brownian motors
- Demon-free quantum Brownian motors
- Deterministic ratchets: route to diffusive transport
- Symplectic evolution of Wigner functions in markovian open systems
- Caldeira--Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials
- Multi-band quantum ratchets
- Quantum Brownian motion in ratchet potentials
- Solving quantum master equations in phase space by continued-fraction methods
- Duality Relation for Quantum Ratchets