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

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

2007-12-03

arxiv.org/abs/0712.0311v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

36 pages, 21 color pdf/jpeg figures, submitted to NJP, corrected references

Scientific paper

10.1088/1367-2630/10/4/045024

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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