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arXiv:2402.02169 · Physica A Statistical Mechanics and its Applications

The harmonic oscillator potential perturbed by a combination of linear and non-linear Dirac delta interactions with application to Bose–Einstein condensation

Cenk Akyüz, Fatih Erman, Haydar Uncu

Published Apr 1, 2024• 5 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2024.129728

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We investigate Bose-Einstein condensation of noninteracting gases in a harmonic trap with an off-center dimple potential. We specifically consider the case of a tight and deep dimple potential which is modelled by a point interaction. This point interaction is represented by a Dirac delta function. The atomic density, chemical potential, critical temperature and condensate fraction, the role of the relative depth and the position of the dimple potential are analyzed by performing numerical calculations.