The interaction-sensitive states of a trapped two-component ideal Fermi gas and application to the virial expansion of the unitary Fermi gas

被引:8
|
作者
Endo, Shimpei
Castin, Yvan [1 ]
机构
[1] Univ Paris 04, Lab Kastler Brossel, ENS, PSL,CNRS,UPMC, Paris, France
基金
日本学术振兴会;
关键词
Fermi gases; quantum few-body problem; ultracold atoms; virial expansion; cluster expansion; unitary Fermi gas; COEFFICIENT;
D O I
10.1088/1751-8113/49/26/265301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider a two-component ideal Fermi gas in an isotropic harmonic potential. Some eigenstates have a wavefunction that vanishes when two distinguishable fermions are at the same location, and would be unaffected by s-wave contact interactions between the two components. We determine the other, interaction-sensitive eigenstates, using a Faddeev ansatz. This problem is nontrivial, due to degeneracies and to the existence of unphysical Faddeev solutions. As an application we present a new conjecture for the fourth-order cluster or virial coefficient of the unitary Fermi gas, in good agreement with the numerical results of Blume and coworkers.
引用
收藏
页数:28
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