Analysis of Shape Change of Droplet in Dipolar Bose–Hubbard Model

The long-range and anisotropic nature of the dipolar interaction provides the so-called supersolid phases in Bose-Einstein condensates (BECs) in an optical lattice. However, in a certain area of dipole interaction parameters, BECs can form into a droplet. In this paper, in order to qualitatively understand the droplet formations, we propose a toy model that allows us to estimate the size and shape of droplets in dipolar Bose–Hubbard system in the optical lattice. We compare results of the toy model with numerical solutions of the mean-field calculation.