Coherent Matter Wave Transport in Speckle Potentials
arXiv:cond-mat/0702183 · doi:10.1088/1367-2630/9/6/161
Abstract
This article studies multiple scattering of matter waves by a disordered optical potential in two and in three dimensions. We calculate fundamental transport quantities such as the scattering mean free path , the Boltzmann transport mean free path $\elltrb$, and the Boltzmann diffusion constant , using a diagrammatic Green functions approach. Coherent multiple scattering induces interference corrections known as weak localization which entail a reduced diffusion constant. We derive the corresponding expressions for matter wave transport in an correlated speckle potential and provide the relevant parameter values for a possible experimental study of this coherent transport regime, including the critical crossover to the regime of strong or Anderson localization.
33 pages, minor corrections, published version
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