The rapid experimental progress of ultracold dipolar gases opens up a whole new opportunity to investigate novel many-body physics. In this talk, I will briefly review recent theoretical and experimental advances in the ultracold dipolar Bose gas with special emphasis on the instability occurring in the system. Then I will present our recent work on the two-dimensional dipolar bosons where dipoles are oriented perpendicularly to the plane. By adding a contact three-body repulsion, which can be expected for dipoles in the bilayer geometry with tunneling, it is shown that our model allows for stable continuous space supersolid states in the dilute regime. The zero-temperature phase diagram is studied, and the effect of harmonic trapping is also discussed.

Reference:
Z.-K. Lu, Y. Li, D. S. Petrov, G. V. Shlyapnikov, Phys. Rev. Lett. 115, 075303 (2015)