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arXiv · 0904.0155

Effect of interactions on the diffusive expansion of a Bose-Einstein condensate in a 3D random potential

N. Cherroret·S. E. Skipetrov
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Abstract

We theoretically study the influence of weak interactions on the diffusive expansion of a Bose-Einstein condensate in a three-dimensional random potential. For this purpose we develop a perturbative approach and calculate analytically the first-order nonlinear correction to the ensemble-averaged atomic density as a function of position and time. We find that interactions renormalize the typical diffusion coefficient of the condensate. The magnitude of the nonlinear correction is controlled by a single dimensionless parameter that includes both interaction and disorder strengths.

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N. Cherroret, S. E. Skipetrov. 2009-04-01. Effect of interactions on the diffusive expansion of a Bose-Einstein condensate in a 3D random potential. https://doi.org/10.1103/physreva.79.063604

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