Chaos and Correspondence in Classical and Quantum Hamiltonian Ratchets: A Heisenberg Approach

Details Chaos and Correspondence in Classical and Quantum Hamiltonian Ratchets: A Heisenberg Approach Chaos and Correspondence in Classical and Quantum Hamiltonian Ratchets: A Heisenberg Approach

2009-06-08

arxiv.org/abs/0906.1435v1

Phys. Rev. E 79, 066207 (2009)

Nonlinear Sciences

Chaotic Dynamics

21 pages, 7 figures, to appear in Phys. Rev. E

Scientific paper

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.

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