Wednesday, October 24, 2012

1210.6212 (Haydar Uncu et al.)

Bose-Einstein Condensate in a Linear Trap With a Dimple Potential    [PDF]

Haydar Uncu, Devrim Tarhan
We study Bose-Einstein condensation in a linear trap with a dimple potential. The present work aims to consider a linear potential in 1D decorated with a dimple type potential where we model dimple potentials by Dirac \del function. Attractive and repulsive dimple potentials are taken into account. We also aim to compare the results of this paper with the results of a previous paper in which the harmonic trap with a dimple potential in 1D was investigated\cite{utem}. This model allows for simpler, explicit numerical and analytical investigations of noninteracting gases. Thus, the \Sch is used instead of the Gross-Pitaevski equation. We calculate the atomic density, the chemical potential, the critical temperature and the condensate fraction. The role of the relative depth of the dimple potential with respect to the linear trap in large condensate formation at enhanced temperatures is clearly revealed. Moreover, we also present a semi-classical method for calculating various quantities such as entropy analytically.
View original: http://arxiv.org/abs/1210.6212

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