  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.
