从非均匀幺正费米气体预测小团簇的能量
Predicting Energies of Small Clusters from the Inhomogeneous Unitary Fermi Gas
摘要：
我们研究了非均匀幺正费米气体，并利用其长波性质预测了囚禁在谐振势中的幺正费米子小团簇的能量。大的配对间隙和标度不变性对密度泛函的形式有严格的限制。我们确定了相关的通用常数需要约束的功能从计算的大部分振荡的外部电位。与精确的量子Monte Carlo计算比较，我们发现，相同的功能正确地预测缺乏壳封闭的小集群的费米子被困在谐波井以及它们的绝对能量。一个快速收敛的体积限制在三维空间，其中的表面体积比是相当大的，证明。由此产生的功能可以通过实验测试，是一个关键的成分，在预测可能的极化超流相和光晶格中的单一费米气体的属性。
英文摘要：
We investigate the inhomogeneous unitary Fermi gas and use the long-wavelength properties to predict the energies of small clusters of unitary fermions trapped in harmonic potentials. The large pairing gap and scale invariance place severe restrictions on the form of the density functional. We determine the relevant universal constants needed to constrain the functional from calculations of the bulk in oscillating external potentials. Comparing with exact Quantum Monte Carlo calculations, we find that the same functional correctly predicts the lack of shell closures for small clusters of fermions trapped in harmonic wells as well as their absolute energies. A rapid convergence to the bulk limit in three dimensions, where the surface to volume ratio is quite large, is demonstrated. The resulting functional can be tested experimentally, and is a key ingredient in predicting possible polarized superfluid phases and the properties of the unitary Fermi gas in optical lattices.
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