2012/02/13 by A. Dechant, E. Lutz · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physrevlett.108.230601
published as Phys. Rev. Lett. 108, 230601 (2012) · 5 pages, 3 figures
arxiv created 2012/02/13 · arxiv updated 2015/06/17
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.