Correlation functions and momentum distribution of one-dimensional Bose systems
arXiv:cond-mat/0212512 · doi:10.1103/PhysRevA.68.031602
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.
4 pages, 5 figures