Strongly correlated phases with moderately strong dipole moments

Ultracold polar molecules offer the possibility of exploring quantum gases with interparticle interactions that are long-range, and spatially anisotropic. While several novel many-body phenomena have been predicted to occur for strong dipole-dipole interactions, in this talk we focus on strongly correlated phases which can be obtained with comparatively moderate strengths of interactions, such as those found with KRb molecules.