Polar bosons in one-dimensional disordered optical lattices

We analyze the effects of disorder and quasidisorder on the ground-state properties of ultracold polar bosons in optical lattices.We showthat the interplay between disorder and intersite interactions leads to rich phase diagrams. A uniform disorder leads to a Haldane-insulator phase with finite parity order, whereas the density-wave phase becomes a Bose glass at very weak disorder. For quasidisorder, the Haldane insulator connects with a gapped generalized incommensurate density wave without an intermediate critical region.