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We numerically simulate an oscillating Bose-Einstein condensate in adisordered trap [Phys. Rev. A 82, 033603 (2010)] and the results are in goodagreement with the experiment. It allows us to verify that total energy andparticle number are conserved in this quantum system. The disorder acts as amedium, which results in a relaxation from nonequilibrium to equilibrium, i.e.,thermalization. An algebraic localization is realized when the systemapproaches the equilibrium, and if the system falls into the regime when thehealing length of the condensate exceeds the correlation length of thedisorder, exponential Anderson localization is to be observed.

Thermalization and localization of an oscillating Bose-Einstein condensate in a disordered trap