Atomic density of an harmonically trapped ideal gas near Bose-Einstein transition temperature

Details Atomic density of an harmonically trapped ideal gas near Bose-Einstein transition temperature Atomic density of an harmonically trapped ideal gas near Bose-Einstein transition temperature

2005-08-25

arxiv.org/abs/quant-ph/0508186v2

Eur. Phys. J. D 41 (2007) 157

Physics

Quantum Physics

Scientific paper

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..

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