  We investigate the quantum phases of polarized dipolar Bosons loaded into a
two-dimensional square and three-dimensional cubic optical lattices. We show
that the long-range and anisotropic nature of the dipole-dipole interaction
induces a rich variety of quantum phases, including the supersolid and striped
supersolid phases in 2D lattices, and the layered supersolid phase in 3D
lattices.
