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Abstract: We consider the phase coherent transport of a quasi one-dimensional beam ofBose-Einstein condensed particles through a disordered potential of length L.Among the possible different types of flow identified in T. Paul et al., Phys.Rev. Lett. 98, 210602 2007, we focus here on the supersonic stationaryregime where Anderson localization exists. We generalize the diffusionformalism of Dorokhov-Mello-Pereyra-Kumar to include interaction effects. It isshown that interactions modify the localization length and also introduce alength scale L* for the disordered region, above which most of the realizationsof the random potential lead to time dependent flows. A Fokker-Planck equationfor the probability density of the transmission coefficient that takes this neweffect into account is introduced and solved. The theoretical predictions areverified numerically for different types of disordered potentials. Experimentalscenarios for observing our predictions are discussed.



Autor: T. Paul, M. Albert, P. Schlagheck, P. Leboeuf, N. Pavloff

Fuente: https://arxiv.org/







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