We study an atomic comagnetometer design based on the spin precessions of ${}^{129}$Xe and ${}^{131}$Xe atoms in glass cells. The quadrupole splittings in the precession spectrum of ${}^{131}$Xe are fully resolved, allowing a precise determination of the magnetic-dipole precession frequency. The transverse asymmetry of quadrupole interactions, due to both the geometry and surface properties of the cell, characterized by a non-zero asymmetry parameter $\eta$, modifies the dependence of the quadrupole splittings on the relative orientation between the cell axes and the bias magnetic field, and lead to additional corrections in the precession frequencies of ${}^{131}$Xe atoms. We examine these effects both theoretically and experimentally, and develop methods to quantify and control such shifts.

中文翻译：

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矩形单元中131Xe原子进动频率的四极电位移

我们研究了基于自旋进动的原子电磁计设计 ${}^{129}$Xe和 ${}^{131}$玻璃电池中的Xe原子。进动谱中的四极分裂。${}^{131}$Xe被完全解析，从而可以精确确定磁偶极进动频率。由于电池的几何形状和表面特性，四极相互作用的横向不对称性以非零不对称性参数为特征$\eta$，修改了四极分裂对单元轴和偏置磁场之间相对方向的依赖性，并导致进动频率的额外校正。 ${}^{131}$氙原子。我们在理论上和实验上都研究了这些影响，并开发了量化和控制这种变化的方法。