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arXiv · 0712.0311

Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas

M. Eckart·R. Walser·W. P. Schleich
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Abstract

Phase correlations, density fluctuations and three-body loss rates are relevant for many experiments in quasi one-dimensional geometries. Extended mean-field theory is used to evaluate correlation functions up to third order for a quasi one-dimensional trapped Bose gas at zero and finite temperature. At zero temperature and in the homogeneous limit, we also study the transition from the weakly correlated Gross-Pitaevskii regime to the strongly correlated Tonks-Girardeau regime analytically. We compare our results with the exact Lieb-Liniger solution for the homogeneous case and find good agreement up to the cross-over regime.

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M. Eckart, R. Walser, W. P. Schleich. 2007-12-05. Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas. https://doi.org/10.1088/1367-2630%2F10%2F4%2F045024

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