Quantum ratchets in dissipative chaotic systems
Statistical Mechanics
2007-05-23 v2 Chaotic Dynamics
Quantum Physics
Abstract
Using the method of quantum trajectories we study a quantum chaotic dissipative ratchet appearing for particles in a pulsed asymmetric potential in the presence of a dissipative environment. The system is characterized by directed transport emerging from a quantum strange attractor. This model exhibits, in the limit of small effective Planck constant, a transition from quantum to classical behavior, in agreement with the correspondence principle. We also discuss parameter values suitable for implementation of the quantum ratchet effect with cold atoms in optical lattices.
Cite
@article{arxiv.cond-mat/0407702,
title = {Quantum ratchets in dissipative chaotic systems},
author = {Gabriel G. Carlo and Giuliano Benenti and Giulio Casati and Dima L. Shepelyansky},
journal= {arXiv preprint arXiv:cond-mat/0407702},
year = {2007}
}
Comments
Significant changes: Several text improvements and new results. Figure 2 modified. Figure 4 added