论文标题
杂交$ S $ - 和$ p $ - 旋转轨道耦合的互动的通用关系
Universal relations for hybridized $s$- and $p$-wave interactions from spin-orbital coupling
论文作者
论文摘要
在这项工作中，我们使用有效的现场理论研究了$ s $和$ p $ - 波的共鸣的一维旋转轨道耦合费米的普遍关系。由于自旋轨道耦合混合了不同的部分部分波，因此引入了接触矩阵以捕获二聚体之间的非平凡相关性。我们发现旋转轨道耦合的签名出现在动量分布矩阵的非对角线组件的领先顺序上，该矩阵与$ 1/q^{3} $成正比（$ q $是相对动量）。我们进一步得出了拉曼光谱的大频率行为，该行为可作为触点的独立可测量量。最后，我们通过考虑两体问题给出了一个明确的联系例子。
In this work, we study the universal relations for one-dimensional spin-orbital-coupled fermions near both $s$- and $p$-wave resonances using effective field theory. Since the spin-orbital coupling mixes different partial waves, a contact matrix is introduced to capture the non-trivial correlation between dimers. We find the signature of the spin-orbital coupling appears at the leading order for the off-diagonal components of the momentum distribution matrix, which is proportional to $1/q^{3}$ ($q$ is the relative momentum). We further derive the large frequency behavior of the Raman spectroscopy, which serves as an independent measurable quantity for contacts. Finally, we give an explicit example of contacts by considering a two-body problem.
