Self-bound dipolar quantum droplets in an optical lattice

Abstract: A self-bound dipolar quantum droplet modulated by an shallow optical latticeare studied. It is found that the behaviors of the droplets in an optical lattice are similar with those without the optical lattice. In the shallow enough limit the properties of the periodically-modulated dipolar droplets are exactly the same with those without the optical lattice,which are self-bound for the absence of any trap in the polarization direction. So we conclude that the formation of droplets in an shallow optical lattice is the competition of atomici nteractions and the quantum fluctuations.The optical lattice can only modulate the droplets. Our model can also describe the finite-size dipolar droplet system.