具有无限散射长度的费米气体的Monte Carlo研究
Monte Carlo study of a Fermi gas with infinite scattering length
摘要：
处于么正态的费米气体是一个特别有趣的冷原子系统，它既稀薄又有强烈的相互作用。它可以研究非微扰与蒙特卡罗方法，如最近开发的蠕虫算法。我们讨论了我们的实现和测试这个算法，并提出了修改，减少自相关，提高其效率。然后，我们展示了如何蠕虫算法可以应用于计算的临界温度的不平衡的费米气体（两个自旋组件中的费米子的数量不等）。最后，我们提出了一些结果与修改后的算法，在平衡以及在不平衡的情况下。
英文摘要：
The Fermi gas at unitarity is a particularly interesting system of cold atoms, being dilute and strongly interacting at the same time. It can be studied non-perturbatively with Monte Carlo methods, like the recently developed worm algorithm. We discuss our implementation and tests of this algorithm and suggest a modification that increases its efficiency by reducing autocorrelations. We then show how the worm algorithm can be applied to calculate the critical temperature of an imbalanced Fermi gas (unequal number of fermions in the two spin components). We finally present some results obtained with the modified algorithm, in the balanced as well as in the imbalanced case.
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