期刊
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
卷 538, 期 3, 页码 77-120出版社
ELSEVIER
DOI: 10.1016/j.physrep.2014.01.003
关键词
Nonlinear dynamics; Ratchet effect; Hamiltonian chaos; Floquet theory; Quantum optics
资金
- German Research Foundation (DFG) [HA1517/31-2, HA1517/35, DE1889/1]
Transport properties of particles and waves in spatially periodic structures that are driven by external time-dependent forces manifestly depend on the space time symmetries of the corresponding equations of motion. A systematic analysis of these symmetries uncovers the conditions necessary for obtaining directed transport. In this work we give a unified introduction into the symmetry analysis and demonstrate its action on the motion in one-dimensional periodic, both in time and space, potentials. We further generalize the analysis to quasi-periodic drives, higher space dimensions, and quantum dynamics. Recent experimental results on the transport of cold and ultracold atomic ensembles in ac-driven optical potentials are reviewed as illustrations of theoretical considerations. (C) 2014 Elsevier B.V. All rights reserved.
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