Phys. Rev. A 68, 053612 (2003) [10 pages]

Second-order correlation function of a phase fluctuating Bose-Einstein condensate

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L. Cacciapuoti *, D. Hellweg, M. Kottke, T. Schulte, W. Ertmer, and J. J. Arlt
Institut für Quantenoptik, Universität Hannover, Welfengarten 1, 30167 Hannover, Germany

K. Sengstock
Institut für Laserphysik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany

L. Santos and M. Lewenstein
Institut für Theoretische Physik, Universität Hannover, Appelstraße 2, 30167 Hannover, Germany

Received 8 July 2003; published 20 November 2003

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.


©2003 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.68.053612
DOI: 10.1103/PhysRevA.68.053612
PACS: 03.75.Hh, 03.75.Nt, 39.20.+q

* Present address: BNM-SYRTE, Observatoire de Paris, 61 Avenue de l’Observatoire, 75014 Paris, France. Email address: Luigi.Cacciapuoti@obspm.fr

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