Transporting cold atoms in optical lattices with ratchets: Symmetries and Mechanisms

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The objective of this work is to provide a general introduction into the symmetry analysis of the rachet effect using a simple, non-interacting one-particle dynamics. Despite its simplicity, this model contains all the basic aspects of classical and quantum ratchet dynamics, and may be used also as a starting point of incorporating atom-atom interactions.
10 pages, 4 figures

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