The European Physical Journal D

, Volume 41, Issue 1, pp 157–162 | Cite as

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

  • R. Hoppeler
  • J. Viana Gomes
  • D. BoironEmail author
Laser Cooling and Quantum Gas


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.


03.75.Hh Static properties of condensates; thermodynamical, statistical, and structural properties 03.65.Sq Semiclassical theories and applications 05.30.Jp Boson systems 


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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  1. 1.Laboratoire Charles Fabry de l'Institut d'Optique, UMR 8501 du CNRSOrsay CedexFrance

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