Chaoticity and Coherence in Bose-Einstein Condensation and Correlations
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We review the properties of chaoticity and coherence in Bose-Einstein condensation
and correlations, for a dense boson system in its mean-field represented
approximately by a harmonic oscillator potential. The order parameter
and the nature of the phase transition from the chaotic to the condensate
states are studied for different fixed numbers of bosons. The two-particle
correlation function in momentum space is calculated to investigate how the
Bose-Einstein correlation depends on the degree of condensation and other
momentum variables. We generalize the Bose-Einstein correlation analysis to
three-particle correlations to show its dependence on the degree of condensation.