One-dimensional extended Bose-Hubbard model with a confining potential: a DMRG analysis

TL;DR

This paper uses DMRG to analyze the extended Bose-Hubbard model in a trap, revealing phase separation and validating the local density approximation, and deriving the phase diagram consistent with previous studies.

Contribution

It provides a detailed DMRG analysis of the trapped extended Bose-Hubbard model, demonstrating phase separation and deriving the phase diagram.

Findings

Phase separation induced by the trap observed in all studied quantities.

Validation of the local density approximation in the extended Bose-Hubbard model.

Phase diagram of the homogeneous system obtained from local compressibility plateaus.

Abstract

The extended Bose-Hubbard model in a quadratic trap potential is studied using a finite-size density-matrix renormalization group method (DMRG). We compute the boson density profiles, the local compressibility and the hopping correlation functions. We observed the phase separation induced by the trap in all the quantities studied and conclude that the local density approximation is valid in the extended Bose-Hubbard model. From the plateaus obtained in the local compressibility it was possible to obtain the phase diagram of the homogeneous system which is in agreement with previous results.