Bosons in Disordered Optical Potentials

Abstract In this work we systematically investigate the properties of ultracold bosonic gases trapped in disordered optical potentials or “dirty” bosons. We solve the Bose-Hubbard Hamiltonian exactly, thus taking into account high order quantum correlations, for “dirty” Bose gases with different (a) types of disorder, (b) disorder strengths, and (c) interatomic interactions. We concentrate on lattices with three different types of disorder: quasiperiodic disorder, uniform random disorder and random speckle-type disorder.