Modeling the transport of interacting matter waves in a disordered system by a nonlinear diffusion equation.

@article{Lucioni2013ModelingTT,
  title={Modeling the transport of interacting matter waves in a disordered system by a nonlinear diffusion equation.},
  author={Eleonora Lucioni and L. Tanzi and C. D'Errico and Marco Moratti and Massimo Inguscio and Giovanni Modugno},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={87 4},
  pages={
          042922
        }
}
  • E. Lucioni, L. Tanzi, +3 authors G. Modugno
  • Published 1 March 2013
  • Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
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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