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Title: Quantum diffusion of matter waves in 2D speckle potentials
Authors: Miniatura, C. 
Kuhn, R.C.
Delande, D.
Müller, C.A.
Issue Date: Apr-2009
Citation: Miniatura, C., Kuhn, R.C., Delande, D., Müller, C.A. (2009-04). Quantum diffusion of matter waves in 2D speckle potentials. European Physical Journal B 68 (3) : 353-364. ScholarBank@NUS Repository.
Abstract: This paper investigates quantum diffusion of matter waves in two-dimensional random potentials, focussing on expanding Bose-Einstein condensates in spatially correlated optical speckle potentials. Special care is taken to describe the effect of dephasing, finite system size, and an initial momentum distribution. We derive general expressions for the interference-renormalized diffusion constant, the disorder-averaged probability density distribution, the variance of the expanding atomic cloud, and the localized fraction of atoms. These quantities are studied in detail for the special case of an inverted-parabola momentum distribution as obtained from an expanding condensate in the Thomas-Fermi regime. Lastly, we derive quantitative criteria for the unambiguous observation of localization effects in a possible 2D experiment. © 2008 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Source Title: European Physical Journal B
ISSN: 14346028
DOI: 10.1140/epjb/e2008-00463-7
Appears in Collections:Staff Publications

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