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We review the properties of chaoticity and coherence in Bose-Einsteincondensation and correlations, for a dense boson system in its mean-fieldrepresented approximately by a harmonic oscillator potential. The orderparameter and the nature of the phase transition from the chaotic to thecondensate states are studied for different fixed numbers of bosons. Thetwo-particle correlation function in momentum space is calculated toinvestigate how the Bose-Einstein correlation depends on the degree ofcondensation and other momentum variables. We generalize the Bose-Einsteincorrelation analysis to three-particle correlations to show its dependence onthe degree of condensation.

Chaoticity and Coherence in Bose-Einstein Condensation and Correlations