Correlation functions and momentum distribution of one-dimensional Bose systems

TL;DR

This paper investigates the ground-state correlation properties and momentum distribution of a one-dimensional Bose system across different interaction regimes using exact quantum Monte Carlo methods, with relevance to experimental setups.

Contribution

It provides detailed calculations of correlation functions and momentum distributions for the Lieb-Liniger model, covering both homogeneous and trapped systems, across various interaction strengths.

Findings

Momentum distribution varies significantly across interaction regimes.

Correlation functions match theoretical predictions in known limits.

Results are relevant for experimental realizations of 1D Bose gases.

Abstract

The ground-state correlation properties of a one-dimensional Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. The pair distribution function, static structure factor, one-body density matrix and momentum distribution of a homogeneous system are calculated for different values of the gas parameter ranging from the Tonks-Girardeau to the mean-field regime. Results for the momentum distribution of a harmonically trapped gas in configurations relevant to experiments are also presented.