BCS theory for trapped ultracold fermions
BCS theory for trapped ultracold fermions
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俘获超冷费米子的 BCS 理论
DOI：
10.1007/s100530050587
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
K. Burnett
中科院分区：
文献类型：
--
作者：
G. Bruun;Yvan Castin;R. Dum;K. Burnett
我们将著名的BCS-理论推广到含费米子原子的系统。该理论充分考虑了陷阱中的量子化能级。关键的成分是模拟两个原子之间的吸引力相互作用的赝势，从而导致一个定义良好的散射问题，因此BCS理论的发散。我们提出了BCS临界温度和差距的温度依赖性的数值结果。它们被用来作为现有的半经典近似的测试。
We develop an extension of the well-known BCS-theory to systems with trapped fermionic atoms. The theory fully includes the quantized energy levels in the trap. The key ingredient is to model the attractive interaction between two atoms by a pseudo-potential which leads to a well defined scattering problem and consequently to a BCS-theory free of divergences. We present numerical results for the BCS critical temperature and the temperature dependence of the gap. They are used as a test of existing semi-classical approximations.