Bose-Einstein condensation in the presence of a uniform field and a pointlike impurity
R. M. Cavalcanti, Paola Giacconi A, Guido Pupillo +1 more
The behavior of an ideal D-dimensional boson gas in the presence of a uniform gravitational field is analyzed. It is explicitly shown that, contrary to a long-standing belief, the three-dimensional gas does not undergo Bose-Einstein condensation at finite temperature. On the other hand, Bose-Einstein condensation occurs at $T\ensuremath{\ne}0$ for $D=1,2,3$ if there is a pointlike impurity at the bottom of the vessel containing the gas.
arXiv:cond-mat/0111490•Physical Review A•Apr 23, 2002•13 citations