Phase diagrams of dipolar lattice bosons trapped in a cavity

By means of quantum Monte Carlo, we study bosons trapped in a square optical lattice and interacting via dipolar and cavity-mediated interactions. The system is described by the Bose-Hubbard model in the presence of dipolar and infinite-range interactions. On the one hand, we investigate how the presence of cavity-mediated interaction modifies the ground-state phase diagram of lattice dipolar bosons. On the other hand, we study how the presence of dipolar interaction modifies the ground-state phase diagram of lattice bosons in a cavity. We conclude with a discussion on experimental realization and observability of the phases stabilized by the model.