Atomic density of an harmonically trapped ideal gas near Bose-Einstein   transition temperature
  We have studied the atomic density of a cloud confined in an isotropic harmonic trap at the vicinity of the Bose-Einstein transition temperature. We show that, for a non-interacting gas and near this temperature, the ground-state density has the same order of magnitude as the excited states density at the centre of the trap. This holds in a range of temperatures where the ground-state population is negligible compared to the total atom number. We compare the exact calculations, available in a harmonic trap, to semi-classical approximations. We show that these latter should include the ground-state contribution to be accurate.. 
Rodolphe Hoppeler (LCFIO), Jose Viana Gomes (LCFIO), Denis Boiron   (LCFIO)