Abstract
By analytically solving the nonlinear gap and Schwinger-Dyson equations, the non-condensate fraction of a weakly interacting Bose-Einstein condensate (BEC) confined between two parallel plates at zero temperature is investigated within the improved Hartree-Fock approximation. It is proved that the finite-size effect increases the non-condensate fraction compared with the one of the same homogeneous BEC. Our result also shows that the non-condensate fraction can be expressed as a sum of two terms: the first term corresponds to the non-condensate fraction of the homogeneous dilute BEC and the other appears because of the confinement. Both terms are universal. A comparison with the experimental data is made.
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