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

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

2011-11-17

arxiv.org/abs/1111.4081v1

Physics

Quantum Physics

10 pages, 12 figures, revtex4, submited to PRE

Scientific paper

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.

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