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Correlation functions and momentum distribution of one-dimensional Bose systems

G. E. Astrakharchik·S. Giorgini
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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.

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G. E. Astrakharchik, S. Giorgini. 2002-12-20. Correlation functions and momentum distribution of one-dimensional Bose systems. https://doi.org/10.1103/physreva.68.031602

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