Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas
arXiv:0712.0311 · doi:10.1088/1367-2630/10/4/045024
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.
arXiv comment36 pages, 21 color pdf/jpeg figures, submitted to NJP, corrected references
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