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沿玻色-爱因斯坦凝聚-幺正性交叉区域的捕获费米气体的状态方程和集体频率

Equation of state and collective frequencies of a trapped Fermi gas along the BEC-unitarity crossover.

作者信息

Astrakharchik G E, Combescot R, Leyronas X, Stringari S

机构信息

Dipartimento di Fisica, Università di Trento and BEC-INFM, I-38050 Povo, Italy.

出版信息

Phys Rev Lett. 2005 Jul 15;95(3):030404. doi: 10.1103/PhysRevLett.95.030404. Epub 2005 Jul 14.

DOI:10.1103/PhysRevLett.95.030404
PMID:16090724
Abstract

We show that the study of the collective oscillations in a harmonic trap provides a very sensitive test of the equation of state of a Fermi gas near a Feshbach resonance. Using a scaling approach, whose high accuracy is proven by comparison with exact hydrodynamic solutions, the frequencies of the lowest compressional modes are calculated at T=0 in terms of a dimensionless parameter characterizing the equation of state. The predictions for the collective frequencies, obtained from the equations of state of mean-field BCS theory and of recent Monte Carlo calculations, are discussed in detail.

摘要

我们表明，对谐波势阱中集体振荡的研究为费米气体在费什巴赫共振附近的状态方程提供了一个非常灵敏的检验。使用一种标度方法，通过与精确的流体动力学解进行比较证明了其高精度，根据表征状态方程的无量纲参数计算了在T = 0时最低压缩模式的频率。详细讨论了从平均场BCS理论的状态方程和最近的蒙特卡罗计算得到的集体频率预测。

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引用本文的文献

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Vortex lattice in the crossover of a Bose gas from weak coupling to unitarity.玻色气体从弱耦合到幺正性转变过程中的涡旋晶格
Sci Rep. 2018 Jun 11;8(1):8825. doi: 10.1038/s41598-018-27146-1.
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Transition and Damping of Collective Modes in a Trapped Fermi Gas between BCS and Unitary Limits near the Phase Transition.在相变附近处于BCS极限和幺正极限之间的捕获费米气体中集体模式的转变与阻尼
Sci Rep. 2015 Nov 2;5:15848. doi: 10.1038/srep15848.