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arXiv 0909.2344cond-mat.quant-gas
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酉费米气体中的表面效应

Surface Effects in the Unitary Fermi Gas

L. Salasnich, F. Ancilotto, F. Toigo

摘要:

研究了超流幺正费米气体的扩展的Ef-F密度泛函。这个功能包括一个梯度项,这是必不可少的准确描述系统的表面效应,特别是与少量的原子,其中的C-Fermi(局部密度)近似失败。我们发现,我们的ETF泛函给出的密度分布与最近的Monte Carlo结果吻合良好,也与一个更复杂的超流密度泛函的基础上Bogoliubov-de Gennes方程。此外,利用扩展的超流体流体动力学方程,计算了幺正费米气体的集体表面振荡频率,发现四极和八极模强烈依赖于被囚禁原子的数目.

英文摘要:

We study the extended Thomas-Fermi (ETF) density functional of the superfluid unitary Fermi gas. This functional includes a gradient term which is essential to describe accurately the surface effects of the system, in particular with a small number of atoms, where the Thomas-Fermi (local density) approximation fails. We find that our ETF functional gives density profiles which are in good agreement with recent Monte Carlo results and also with a more sophisticated superfluid density functional based on Bogoliubov-de Gennes equations. In addition, by using extended hydrodynamics equations of superfluids, we calculate the frequencies of collective surface oscillations of the unitary Fermi gas, showing that quadrupole and octupole modes strongly depend on the number of trapped atoms.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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