Correlation functions and momentum distribution of one-dimensional Bose systems

Details Correlation functions and momentum distribution of one-dimensional Bose systems Correlation functions and momentum distribution of one-dimensional Bose systems

2002-12-20

arxiv.org/abs/cond-mat/0212512v1

Physics

Condensed Matter

4 pages, 5 figures

Scientific paper

10.1103/PhysRevA.68.031602

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.

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