Coherent matter wave transport in speckle potentials

Abstract

This article studies multiple scattering of matter waves by a disordered\noptical potential in two and in three dimensions. We calculate fundamental\ntransport quantities such as the scattering mean free path $\\ell_s$, the\nBoltzmann transport mean free path $\\elltrb$, and the Boltzmann diffusion\nconstant $D_B$, using a diagrammatic Green functions approach. Coherent\nmultiple scattering induces interference corrections known as weak localization\nwhich entail a reduced diffusion constant. We derive the corresponding\nexpressions for matter wave transport in an correlated speckle potential and\nprovide the relevant parameter values for a possible experimental study of this\ncoherent transport regime, including the critical crossover to the regime of\nstrong or Anderson localization.\n