Quantum Diffusion of Matter Waves in 2D Speckle Potentials

Details Quantum Diffusion of Matter Waves in 2D Speckle Potentials Quantum Diffusion of Matter Waves in 2D Speckle Potentials

2008-07-23

arxiv.org/abs/0807.3698v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

some structural changes and corrected fig. 2, final version

Scientific paper

10.1140/epjb/e2008-00463-7

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.

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