One-dimensional Bose-Hubbard model with pure three-body interactions

TL;DR

This paper investigates a one-dimensional Bose-Hubbard model with only three-body interactions, revealing unique phase transition behaviors and enhanced stability of insulating phases compared to the standard model.

Contribution

It introduces and analyzes a Bose-Hubbard model with pure three-body interactions, highlighting its phase diagram and critical properties using DMRG methods.

Findings

Insulating lobes' shapes are characterized.

Critical tunneling values for phase transitions are predicted.

Insulating phase stability increases with larger fillings.

Abstract

The extended Bose-Hubbard model with pure three-body local interactions is studied using the Density Matrix Renormalization Group approach. The shapes of the first two insulating lobes are discussed, and the values of the critical tunneling for which the system undergoes the quantum phase transition from insulating to superfluid phase are predicted. It is shown that stability of insulating phases, in contrast to the standard Bose-Hubbard model, is enhanced for larger fillings. It is also shown that, on the tip of the boundary of the insulating phase, the model under consideration belongs to the Berenzinskii-Kosterlitz-Thouless universality class.