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Interacting ultracold bosons in disordered lattices: Sensitivity of the dynamics to the initial state

Interacting ultracold bosons in disordered lattices: Sensitivity of the dynamics to the initial state

We study the dynamics of a nonlinear one-dimensional disordered system obtained by coupling the Anderson model with the Gross-Pitaevskii equation. We introduce 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 …