Quantum Phase Transitions for Bosons in One Dimension

TL;DR

This paper investigates the phase diagram and critical properties of one-dimensional interacting bosons using quantum Monte Carlo simulations, revealing a novel intermediate phase and mapping phase transitions relevant to Josephson junction chains.

Contribution

It introduces the discovery of a new intermediate phase for finite-range interactions and provides detailed phase diagrams and critical behavior analysis.

Findings

Identification of a novel intermediate phase with no solid order or superfluidity

Mapping of phase diagrams as a function of hopping strength and chemical potential

Analysis of critical behavior at phase transitions

Abstract

We study the ground state phase diagram and the critical properties of interacting Bosons in one dimension by means of a quantum Monte Carlo technique. The direct experimental realization is a chain of Josephson junctions. For finite-range interactions we find a novel intermediate phase which shows neither solid order nor superfluidity. We determine the location of this phase and study the critical behaviour of the various transitions. For on-site interaction only, we map out the phase diagram as a function of the hopping strength and the chemical potential.