Modeling the transport of interacting matter-waves in disorder by a non-linear diffusion equation
Quantum Gases
2015-06-15 v1
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.
Keywords
Cite
@article{arxiv.1303.0129,
title = {Modeling the transport of interacting matter-waves in disorder by a non-linear diffusion equation},
author = {Eleonora Lucioni and Luca Tanzi and Chiara D'Errico and Marco Moratti and Massimo Inguscio and Giovanni Modugno},
journal= {arXiv preprint arXiv:1303.0129},
year = {2015}
}
Comments
6 pages, 8 figures