Analysis of shape change of droplet in dipolar Bose-Hubbard model

Peculiar phenomena, such as supersolids, in Bose-Einstein condensates (BECs) emerge from dipolar interaction. The long-range and anisotropic nature of the dipolar interaction provides superfluid phase and stripe or checkerboard supersolid phases in BECs in an optical lattice. On the other hand, BECs could be unstable in a certain area of dipole interaction parameters. In this presentation, in order to qualitatively understand droplet formations in this unstable regime, we propose a toy model that allows us to estimate size and shape of droplets in dipolar Bose-Hubbard system in an optical lattice. We compare the results of the toy model with the numerical solution of the mean-field calculation.