Criticality in the Bose-Hubbard model with three-body repulsion

TL;DR

This paper investigates how three-body repulsion influences the critical behavior and phase transition characteristics in the Bose-Hubbard model at unit filling, focusing on the transition from pair-superfluid to superfluid phases.

Contribution

It provides a detailed analysis of the critical exponents and central charge for the phase transition, revealing the dependence on three-body repulsion strength.

Findings

Critical exponents vary with three-body repulsion.

Central charge characterizes the quantum phase transition.

Phase transition nature depends on three-body interaction strength.

Abstract

We study the attractive Bose-Hubbard model with a tunable, on-site three-body constraint. It is shown that the critical behavior of the system undergoing a phase transition from pair-superfluid to superfluid at unit filling depends on the value of the three-body repulsion. In particular, we calculate critical exponents and the central charge governing the quantum phase transition.