Phase diagrams of the extended Bose-Hubbard model in one dimension by Monte-Carlo simulation with the help of a stochastic-series expansion

TL;DR

This study uses quantum Monte Carlo simulations to map the phase diagrams of the one-dimensional extended Bose-Hubbard model, revealing various phases including Mott insulator, superfluid, density wave, Haldane insulator, and supersolid.

Contribution

It introduces the use of stochastic-series expansion quantum Monte Carlo with a controllable maximum particle number to explore phase diagrams of the EBHM.

Findings

Multiple phases identified: Mott insulator, superfluid, density wave, Haldane insulator, supersolid.

Phase diagrams depend on the maximum particle number parameter.

Locations of phases in the diagrams are clarified.

Abstract

In this paper, we study phase diagrams of the extended Bose-Hubbard model (EBHM) in one dimension by means of the quantum Monte-Carlo (QMC) simulation using the stochastic-series expansion (SSE).In the EBHM, there exists a nearest-neighbor repulsion as well as the on-site repulsion. In the SSE-QMC simulation, the highest particle number at each site, $n_c$, is also a controllable parameter, and we found that the phase diagrams depend on the value of $n_c$. It is shown that in addition to the Mott insulator, superfluid, density wave, the phase so-called Haldane insulator and supersolid appear in the phase diagrams, and their locations in the phase diagrams are clarified.