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arXiv 0704.0769cond-mat.other
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费什巴赫共振下的费米密度泛函

The Fermionic Density-functional at Feshbach Resonance

Michael Seidl, Rajat K. Bhaduri

摘要:

考虑零温下中性非极化费米子原子的稀气体,原子间通过短程(可调)吸引相互作用相互作用。我们证明了分析一个奇怪的性质的气体在幺正性。也就是说,气体的相关能,由二级微扰理论计算,具有相同的密度依赖性作为一级交换能,和两个几乎完全相互抵消在费什巴赫共振的潜在的形状无关,提供$(μr_s) >> 1$。这里$(μ)^{-1}$是二体势的范围,$r_s$通过数密度$n=3/(4πr_s^3)$定义。这一结果的普遍性的影响进行了讨论。

英文摘要:

We consider a dilute gas of neutral unpolarized fermionic atoms at zero temperature.The atoms interact via a short range (tunable) attractive interaction. We demonstrate analytically a curious property of the gas at unitarity. Namely, the correlation energy of the gas, evaluated by second order perturbation theory, has the same density dependence as the first order exchange energy, and the two almost exactly cancel each other at Feshbach resonance irrespective of the shape of the potential, provided $(μr_s) >> 1$. Here $(μ)^{-1}$ is the range of the two-body potential, and $r_s$ is defined through the number density $n=3/(4πr_s^3)$. The implications of this result for universality is discussed.

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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