Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-02-07
New J. Phys. 9 (2007) 161
Physics
Condensed Matter
Other Condensed Matter
33 pages, minor corrections, published version
Scientific paper
10.1088/1367-2630/9/6/161
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 $\ell_s$, the Boltzmann transport mean free path $\elltrb$, and the Boltzmann diffusion constant $D_B$, 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.
Delande Dominique
Kuhn R. C.
Miniatura Ch.
Mueller Cord A.
Sigwarth Olivier
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