Bose-Einstein condensate in a harmonic trap decorated with Dirac delta functions

Details Bose-Einstein condensate in a harmonic trap decorated with Dirac delta functions Bose-Einstein condensate in a harmonic trap decorated with Dirac delta functions

2007-01-26

arxiv.org/abs/cond-mat/0701668v4

PHYSICAL REVIEW A 76, 013618 (2007)

Physics

Condensed Matter

Other Condensed Matter

8 pages, 8 figures

Scientific paper

10.1103/PhysRevA.76.013618

We study Bose-Einstein condensation in a harmonic trap with a dimple potential. We specifically consider the case of a tight and deep dimple potential which is modelled by a Dirac delta function. This allows for simpler, explicit numerical and analytical investigations of noninteracting gases. Thus, the Schrodinger equation is used instead of the Gross-Pitaevski equation. Calculating the atomic density, chemical potential, critical temperature and condensate fraction, the role of the relative depth of the dimple potential with respect to the harmonic trap in large condensate formation at enhanced temperatures is clearly revealed.

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