Excitation and dynamics in the extended bose-hubbard model

TL;DR

This paper investigates the excitation spectra and dynamics of the one-dimensional extended bosonic Hubbard model across various phases using advanced numerical methods, revealing unique gap behaviors and modes in supersolid phases.

Contribution

It provides a detailed analysis of the excitation spectra and dynamics in different phases of the extended bosonic Hubbard model using DMRG and TEBD methods.

Findings

Charge and neutral gaps characterize different insulating phases.

Supersolid phase exhibits gapless modes at finite momentum.

Behavior of gaps varies with phase and filling.

Abstract

The one-dimensional extended bosonic Hubbard model has been shown to exhibit a variety of phases ranging from Mott insulator and superfluid to exotic supersolids and Haldane insulators depending on the filling and the relative value of the contact ($U$) and near neighbor ($V$) interaction strengths. In this paper we use the density matrix renormalization group and the time evolving block decimation numerical methods to study in detail the dynamics and excitation spectra of this model in its various phases. In particular, we study in detail the behavior of the charge and neutral gaps which characterize the Mott, charge density and Haldane insulating phases. We also show that in addition to the gapless modes at $k=0$, the supersolid phase exhibits gapless modes at a finite $k$ which depends on the filling.