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

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.

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

References in corpus (6)

• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
• General variational many-body theory with complete self-consistency for trapped bosonic systems
• Fermionization in an expanding 1D gas of hard-core bosons
• Spatial correlations of trapped 1d bosons in an optical lattice
• Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization