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arXiv · 1303.0129

Modeling the transport of interacting matter-waves in disorder by a non-linear diffusion equation

Eleonora Lucioni·Luca Tanzi·Chiara D'Errico·Marco Moratti·Massimo Inguscio·Giovanni Modugno
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Abstract

We model the expansion of an interacting atomic Bose-Einstein condensate in a disordered lattice with a nonlinear diffusion equation normally used for a variety of classical systems. We find approximate solutions of the diffusion equation that well reproduce the experimental observations for both short and asymptotic expansion times. Our study establishes a connection between the peculiar shape of the expanding density profiles and the microscopic nonlinear diffusion coefficients.

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Eleonora Lucioni, Luca Tanzi, Chiara D'Errico, Marco Moratti, Massimo Inguscio, Giovanni Modugno. 2013-03-01. Modeling the transport of interacting matter-waves in disorder by a non-linear diffusion equation. https://doi.org/10.1103/physreve.87.042922

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