Analysis of localization phenomena in weakly interacting disordered lattice gases

Although disorder plays a crucial role in many systems, it can usually not be chosen or controlled. We show that the unique methods available for ultracold atomic gases may be used for the controllable production and observation of disordered quantum systems. A detailed analysis of localization effects for two possible realizations of a disordered potential is presented. In a theoretical analysis clear localization effects are observed when a superlattice is used to provide a quasiperiodic disorder. The effects of localization are analyzed by investigating the superfluid fraction and the localization length within the system.