Exact diagonalization of the one dimensional Bose-Hubbard model with local 3-body interactions

TL;DR

This paper uses exact diagonalization to analyze the one-dimensional Bose-Hubbard model with local two- and three-body interactions, focusing on phase stability and critical tunneling values.

Contribution

It provides the first detailed analysis of the extended Bose-Hubbard model with three-body interactions using exact diagonalization methods.

Findings

Shapes of the first two insulating lobes are characterized.

Critical tunneling values for phase stability are predicted.

Effects of repulsive and attractive three-body interactions are analyzed.

Abstract

In this Brief Report the extended Bose-Hubbard model with local two- and three-body interactions is studied by the exact diagonalization approach. The shapes of the first two insulating lobes are discussed and the values of the critical tunneling for which the insulating phase loses stability for repulsive and attractive three-body interactions are predicted.