费什巴赫共振下极化一维费米气体中FFLO与玻色-费米混合物的三体研究
FFLO vs Bose-Fermi mixture in polarized 1D Fermi gas on a Feshbach resonance: a 3-body study
摘要：
我们研究了费什巴赫共振的一维模型中的三费米子问题，以深入了解在小的负散射长度下的类FFLO态如何演变成在小的正散射长度下的玻色-费米混合物。FFLO态具有振荡的超流关联函数，而在玻色-费米混合物中关联是单调的。我们发现这种行为已经存在于三体层次。我们提出了一个精确的研究3体问题，并获得额外的见解，考虑世界线的路径积分蒙特卡罗计算。
英文摘要：
We study the three-fermion problem within a 1D model of a Feshbach resonance in order to gain insight into how the FFLO-like state at small negative scattering lengths evolves into a Bose-Fermi mixture at small positive scattering lengths. The FFLO state possesses an oscillating superfluid correlation function, while in a Bose-Fermi mixture correlations are monotonic. We find that this behavior is is already present at the 3-body level. We present an exact study of the 3-body problem, and gain extra insights by considering worldlines of a path integral Monte-Carlo calculation.
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