Second Order Correlation Function of a Phase Fluctuating Bose-Einstein Condensate

Details Second Order Correlation Function of a Phase Fluctuating Bose-Einstein Condensate Second Order Correlation Function of a Phase Fluctuating Bose-Einstein Condensate

2003-08-07

arxiv.org/abs/cond-mat/0308135v1

Physics

Condensed Matter

Soft Condensed Matter

22 pages, 5 figures

Scientific paper

10.1103/PhysRevA.68.053612

The coherence properties of phase fluctuating Bose-Einstein condensates are studied both theoretically and experimentally. We derive a general expression for the N-particle correlation function of a condensed Bose gas in a highly elongated trapping potential. The second order correlation function is analyzed in detail and an interferometric method to directly measure it is discussed and experimentally implemented. Using a Bragg diffraction interferometer, we measure intensity correlations in the interference pattern generated by two spatially displaced copies of a parent condensate. Our experiment demonstrates how to characterize the second order correlation function of a highly elongated condensate and to measure its phase coherence length.

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