Sensitivity to the initial state of interacting ultracold bosons in disordered lattices

Benoît Vermersch, Jean-Claude Garreau

Published 2011-11-17Version 1

We study the dynamics of a nonlinear one-dimensional disordered system obtained by coupling the Anderson model with the Gross-Pitaevskii equation. An analytical model provides us with a single quantity globally characterizing the localization of the system. This quantity obeys a scaling law with respect to the width of the initial state, which can be used to characterize the dynamics independently of the initial state.