Three-body interacting dipolar bosons and the fate of lattice supersolidity

TL;DR

This paper explores how three-body interactions influence the phases of dipolar bosons in an optical lattice, revealing that such interactions can either suppress or enhance the supersolid phase depending on their sign.

Contribution

It provides a mean-field phase diagram of the extended Bose-Hubbard model including both repulsive and attractive three-body interactions, highlighting their effects on supersolidity.

Findings

Positive three-body interactions reduce the supersolid region.

Attractive three-body interactions enhance the supersolid phase.

Three-body interactions significantly alter the phase diagram.

Abstract

We investigate a system of dipolar bosons in an optical lattice with local two and three-body interactions. Using the mean-field theory approach, we obtain the ground state phase diagram of the extended Bose-Hubbard (EBH) model with both repulsive and attractive three-body interac- tions. We show that the additional three-body on-site interaction has strong effects on the phase diagram especially on the supersolid phase. Positive values of the three-body interaction lead to the enhancement of the gapped phases at densities larger than unity by reducing the supersolid region. However, a small attractive three-body interaction enhances the supersolid phase.