1110.6716 (S. Datta)

Visualizing Anderson Localization in 3d using Monte Carlo method    [PDF]

S. Datta

We study the effect of Anderson localization on a Bose-Einstein condesate in
3d in a disordered potential by Feynman-Kac path integral technique.
Simulations are performed in continuous space using canonical ensemble. Owing
to the high degree of control over the system parameters we also study the
interplay of disorder and interaction in the system. We numerically compute the
localization length, mobility edge and the density profile of the condensate.
We observe that as the interaction strength increases, the wave functions
become more and more delocalized.

View original: http://arxiv.org/abs/1110.6716