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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

Mariusz Gajda
Instytut Fizyki, Polska Akademia Nauk, Aleja Lotników 32/46, 02-668 Warszawa, Poland
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

URL: http://link.aps.org/doi/10.1103/PhysRevA.73.023603
DOI: 10.1103/PhysRevA.73.023603
PACS: 03.75.Gg; 03.75.Hh; 05.30.Jp
  • 03.75.Gg
    Quantum entanglement and decoherence in Bose-Einstein condensates
  • 03.75.Hh
    Static properties of Bose-Einstein condensates; thermodynamical, statistical, and structural properties
  • 05.30.Jp
    Boson systems (quantum statistical mechanics)
  • YEAR: 2006
KEYWORDS: Bose-Einstein condensation

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