Anomalous spatial diffusion and multifractality in optical lattices

Details Anomalous spatial diffusion and multifractality in optical lattices Anomalous spatial diffusion and multifractality in optical lattices

2012-02-13

arxiv.org/abs/1202.2653v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

Transport of cold atoms in shallow optical lattices is characterized by slow, nonstationary momentum relaxation. We here develop a projector operator method able to derive in this case a generalized Smoluchowski equation for the position variable. We show that this explicitly non-Markovian equation can be written as a systematic expansion involving higher-order derivatives. We use the latter to compute arbitrary moments of the spatial distribution and analyze their multifractal properties.

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