Eur. Phys. J. D (2013) 67: 243
https://doi.org/10.1140/epjd/e2013-40222-3

Regular Article

Anomalous effects in a trapped Bose-Einstein condensate

Laboratory for Theoretical Physics and Material Physics, Faculty of Sciences, Hassiba Benbouali University of Chlef, Algeria

^a e-mail: m.benarous@univ-chlef.dz

Received: 12 April 2013
Received in final form: 27 June 2013
Published online: 28 November 2013

Abstract

We study the anomalous density in an ultra-cold trapped bose gas in a variational framework, for both zero and finite temperature. We show that it is finite in 1D, while it is logarithmically and linearly divergent in 2D and 3D. The renormalization that we adopt is more reliable and compatible with the variational scheme. The main outcome is that the anomalous and non condensate densities are of the same order of magnitude and should therefore be treated on an equal footing.