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

TL;DR

This paper investigates droplet formation in dipolar Bose-Hubbard systems, proposing a toy model to estimate droplet size and shape, and validating it against mean-field numerical solutions.

Contribution

It introduces a simple toy model to qualitatively understand droplet shapes in dipolar Bose-Hubbard systems, complementing numerical mean-field results.

Findings

Toy model effectively estimates droplet size and shape.

Qualitative agreement between toy model and numerical solutions.

Provides insights into droplet formation mechanisms.

Abstract

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.