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Coherent matter wave transport in speckle potentials

R. C. KuhnPhysikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, GermanyOlivier SigwarthPhysikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, GermanyChristian MiniaturaInstitut Non Linéaire de Nice, UNSA, CNRS, 1361 route des Lucioles, F-06560 Valbonne, FranceDominique DelandeLaboratoire Kastler Brossel, Université Pierre et Marie Curie-Paris 6, ENS, CNRSCord A. MüllerPhysikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany

2007en

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doi:10.1088/1367-2630/9/6/161 Abstract. 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 ℓs, the Boltzmann transport mean free path ℓB, and the Boltzmann diffusion constant DB, 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. 5

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DOI: 10.1088/1367-2630/9/6/161

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