Correlation functions of a Lieb-Liniger Bose gas

TL;DR

This paper investigates the ground-state correlation functions of a one-dimensional Lieb-Liniger Bose gas using exact quantum Monte Carlo methods, providing new insights into three-body correlations and density matrix behavior.

Contribution

It extends previous work by including new results on three-body correlators and analyzing the density matrix's short- and long-range properties.

Findings

New three-body correlator results as a function of interaction strength

Comparison with experimental three-body loss measurements

Detailed analysis of the density matrix behavior at different ranges

Abstract

The ground-state correlation functions of a one-dimensional homogeneous Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. This article is an extension of a previous study published in Phys. Rev. A {\bf 68}, 031602 (2003). New results on the local three-body correlator as a function of the interaction strength are included and compared with the measured value from three-body loss experiments. We also carry out a thorough study of the short- and long-range behavior of the one-body density matrix.