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