Quantum Phases of Long Range 1-D Bose-Hubbard Model: Field Theoretic and DMRG Study at Different Densities

TL;DR

This paper investigates the quantum phases of a long-range 1D Bose-Hubbard model at various densities using bosonization and DMRG, predicting supersolid phases and analyzing the effects of long-range interactions and dimerization.

Contribution

It introduces a combined bosonization and DMRG approach to explore density-dependent quantum phases, including supersolid states, in a long-range 1D Bose-Hubbard model.

Findings

Prediction of supersolid phase at certain densities

Analysis of solitonic phase near half filling

Effect of dimerization on plateau phase

Abstract

We use Abelian Bosonization and density matrix renormalization group method to study the effect of density on quantum phases of long range 1-D Bose-Hubbard model. We predict the existence of supersolid phase and also other quantum phases for this system. We have analyzed the role of long range interaction parameter on solitonic phase near half filling. We discuss the effect of dimerization in nearest neighbor hopping and interaction terms on the plateau phase at the half filling.