1303.0129 (Eleonora Lucioni et al.)

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

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

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.

View original: http://arxiv.org/abs/1303.0129