We present results on the comparison between
experiments and theory on the bichromatic lattice for cold atoms
gases. This setup allows us to study the physics of disordered
bosons where superfluid, Mott and glass phases compete. We first
review the model and its phase diagram obtained from numerical
calculations. The localization mechanism, which is different from
the one for uncorrelated disorder, is introduced and its possible
experimental signatures are proposed. Then, experimental results
covering the full range of the disorder vs interaction diagram are
confronted to numerical results. The effect of the trapping
potential and of temperature are analyzed to explain the observed
momentum distribution. We conclude on ongoing experiments using a
similar setup.