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Phys. Rev. A 73, 023603 (2006) [5 pages]Criterion for Bose-Einstein condensation in a harmonic trap in the case with attractive interactions
Received 17 January 2005; revised 11 July 2005; published 6 February 2006
Using a model many-body wave function I analyze the standard criterion for Bose-Einstein condensation and its relation to coherence properties of the system. I pay special attention to an attractive condensate under such a condition that a characteristic length scale of the spatial extension of its center of mass differs significantly from length scales of relative coordinates. I show that although no interference fringes are produced in the two-slit Young interference experiment performed on this system, fringes of a high visibility can be observed in a conditional simultaneous detection of two particles. ©2006 The American Physical Society
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