Coherent matter wave transport in speckle potentials
R. C. Kuhn, Olivier Sigwarth, Christian Miniatura +2 more
This paper 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 ℓ s , the Boltzmann transport mean free path ℓ B , and the Boltzmann diffusion constant D B , using a diagrammatic Green functions approach in the weak-scattering regime. 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 a 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.
arXiv:cond-mat/0702183•New Journal of Physics•Jun 8, 2007•153 citations