Trapped Bose gas: The canonical versus grand canonical statistics
Abstract
For ensemble of bosons trapped in a onedimensional 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 BoseEinstein threshold. This discrepancy decreases only logarithmically as the number of atoms increases. Furthermore, we investigate numerically the case of a threedimensional ``cigarshape'' trap in the range of parameters corresponding to current BoseEinstein condensation experiments.
 Publication:

Physical Review A
 Pub Date:
 April 1997
 DOI:
 10.1103/PhysRevA.55.3254
 arXiv:
 arXiv:atomph/9609002
 Bibcode:
 1997PhRvA..55.3254H
 Keywords:

 Physics  Atomic Physics;
 Condensed Matter;
 Quantum Physics
 EPrint:
 8 pages, 2 figures, revision fixes typo in equation 8