Cluster Mean Field plus Density Matrix Renormalization theory for the Bose Hubbard Model

TL;DR

This paper introduces a new hybrid numerical method combining mean-field theory and density matrix renormalization group techniques to efficiently analyze phase transitions in large one-dimensional Bose-Hubbard models.

Contribution

The authors develop a novel approach that merges mean-field and DMRG methods, enabling effective phase identification with moderate computational resources.

Findings

Successfully identifies superfluid, Mott insulator, and density wave phases.

Determines superfluid order parameters and correlation functions.

Applicable to large one-dimensional systems.

Abstract

We develop a novel approach to understand the phases of one-dimensional Bose-Hubbard models. We integrate the simplicity of the mean-field theory and the numerical power of the density matrix renormalization group method to build an effective numerical technique with moderate computational resources to determine superfluid order parameters and correlation functions of large one-dimensional systems. We demonstrate the applicability of this method to directly identify superfluid, Mott insulator, and density wave phases in Bose-Hubbard models.