Anderson localization of matter waves in chaotic potentials

In the present paper we study Anderson localization of Bose-Einstein condensate with a weakly positive nonlinearity under the influence of chaotic potentials. We investigate the one-dimensional Gross-Pitaevskii equation numerically, in order to unveil the influence of the parameters that describe the potential and nonlinearity on the localization of the condensate. The results show that matter localization is possible, in certain regions in parameter space. Similarities to chaotically disordered photonic lattices suggest that the results are of direct interest to such photonic lattices as well.