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Journals / Turkish Journal of Physics / 2008 / Cilt: 32 - Sayı: 1

Simultaneously finite size and interaction effects on a harmonically trapped $^{87}Rb$ gas

Ahmed Sayed HASSAN
Hassab Eldyeam HADI
Pages
31–38
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Furthermore, full agreement is obtained with the other method used to calculate the same quantities.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the framework of the semiclassical approximation $(K_BT> >h\Omega)$, an accurate ansatz formula for the density of states is suggested.
📊
Key Findings & Data:Condensed fraction, and average energy per particle for a condensed $^{87}Rb$ gas in anisotropic trap in 3D and 2D are calculated.
💡
Conclusion & Impact:Furthermore, full agreement is obtained with the other method used to calculate the same quantities.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In the framework of the semiclassical approximation $(K_BT> >h\Omega)$, an accurate ansatz formula for the density of states is suggested. This formula is able to include the finite size, interatomic interaction effects, and the role of dimensionality simultaneously. Condensed fraction, and average energy per particle for a condensed $^{87}Rb$ gas in anisotropic trap in 3D and 2D are calculated. The results for the above mentioned thermodynamic quantities show good agreement with the measured experimental results. Furthermore, full agreement is obtained with the other method used to calculate the same quantities.

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Cite This Article

HASSAN, A. S., HADI, H. E. (2008). Simultaneously finite size and interaction effects on a harmonically trapped $^{87}Rb$ gas. Turkish Journal of Physics, Cilt: 32 - Sayı: 1, 31–38. https://ajindex.com/articles/378102

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