Chaos and Correspondence in Classical and Quantum Hamiltonian Ratchets: A Heisenberg Approach
arXiv:0906.1435 · doi:10.1103/PhysRevE.79.066207
Abstract
Previous work [Gong and Brumer, Phys. Rev. Lett., 97, 240602 (2006)] motivates this study as to how asymmetry-driven quantum ratchet effects can persist despite a corresponding fully chaotic classical phase space. A simple perspective of ratchet dynamics, based on the Heisenberg picture, is introduced. We show that ratchet effects are in principle of common origin in classical and quantum mechanics, though full chaos suppresses these effects in the former but not necessarily the latter. The relationship between ratchet effects and coherent dynamical control is noted.
21 pages, 7 figures, to appear in Phys. Rev. E
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Cited by in corpus (5)
- Directed momentum current induced by the PT-symmetric driving
- Statistical Approach to Quantum Chaotic Ratchets
- Weak-Chaos Ratchet Accelerator
- Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems
- Tailored particle current in an optical lattice by a weak time-symmetric harmonic potential