Correlation functions of a Lieb-Liniger Bose gas

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 paper is an extension of a previous study published in Astrakharchik G E and Giorgini S (2003 Phys. Rev. A 68 031602). 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 behaviour of the one-body density matrix.