Engineering interband transport by time-dependent disorder

We show how the evolution of atoms in a tilted lattice can be changed and controlled by phase noise on the lattice. Dependent on the characteristic parameters of the noise, the interband transport can either be suppressed or enhanced, which is of interest for high precision control in experimental realization with Bose-Einstein condensates. The effect of the noise on the survival probability in the ground band is summarized in a scaling plot stressing the universality of our results.