1 2 N ov 1 99 6 Can We Distinguish Between the Grand Canonical and the Canonical Ensemble in a BEC Experiment ?
نویسنده
چکیده
For ensemble of bosons trapped in a 1D harmonic potential well we have found an analytical formula for the canonical partition function and shown that, for 100 trapped atoms, the discrepancy between the grand canonical and the canonical predictions for the condensate fraction reaches 10% in the vicinity of the Bose-Einstein threshold. This discrepancy decreases only logarithmically as the number of atoms increases. Furthermore we investigate numerically the case of a 3D " cigar-shape " trap in the range of parameters corresponding to current BEC experiments.
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Se p 19 96 Can We Distinguish Between the Grand Canonical and the Canonical Ensemble in a BEC Experiment ?
For ensemble of bosons trapped in a 1D harmonic potential well we have found an analytical formula for the canonical partition function and shown that, for 100 trapped atoms, the discrepancy between the grand canonical and the canonical predictions for the condensate fraction reaches 10% in the vicinity of the Bose-Einstein threshold. This discrepancy decreases only logarithmically as the numbe...
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