Universal one-dimensional atomic gases near odd-wave resonance
Universal one-dimensional atomic gases near odd-wave resonance
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接近奇波共振的通用一维原子气体
DOI：
10.1103/physreva.94.043636
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发表时间：
2016-05
影响因子：
2.9
通讯作者：
Cui Xiaoling
中科院分区：
文献类型：
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作者：
Cui Xiaoling
我们展示了一维奇波散射的接触相互作用的重整化。在重整化相互作用的基础上，利用算符乘积展开方法，精确地求解了简谐陷阱中的二体问题，并进一步研究了奇波共振附近自旋极化费米子的普遍性质。结果表明，高动量分布表现为$C/{k}^{2}$，其中$C为奇波接触。导出了各种普遍关系。我们的工作提出了一个在一维中出现的具有大奇波散射长度的普遍系统。
We show the renormalization of the contact interaction for odd-wave scattering in one-dimension (1D). Based on the renormalized interaction, we exactly solve the two-body problem in a harmonic trap and further explore the universal properties of spin-polarized fermions near odd-wave resonance by using the operator-product-expansion method. It is found that the high-momentum distribution behaves as $C/{k}^{2}$, with $C$ being the odd-wave contact. Various universal relations are derived. Our work suggests a universal system emergent in 1D with large odd-wave scattering length.