应用一种新的全局相位拟合方法重新研究$^{129}$电偶极子矩测量
Revisiting $^{129}$Xe electric dipole moment measurements applying a new global phase fitting approach
摘要：
通过测量极化的$^{129}$ He和$^{129}$ He的核磁自旋进动频率，提出了$^{129}$ He原子电偶极矩（EDM）$ d_\mathrm{A} (^{129}\mathrm{Xe})$的一个新上限。123，143003（2019）。在这里，我们提出了一种新的评估方法的基础上的全球相位拟合（GPF）的分析$^{3}$ He-$^{129}$连续相位发展的电磁计信号。从理论上推导了GPF方法的$^{129}$离散EDM的Cramer-Rao下界，并显示了我们的新方法的潜在好处。GPF方法的鲁棒性与蒙特卡罗研究进行了验证。通过优化分析参数和添加以前方法无法分析的数据，我们在揭盲分析中获得了$d_\mathrm{A} (^{129}\mathrm{Xe}) = 1.1 \pm 3.6~\mathrm{(stat)} \pm 2.0~\mathrm{(syst)} \times 10^{-28}~ e~\mathrm{cm}$的结果。对于系统的不确定性分析，我们采用了上述PRL出版物中的所有方法，除了可以使用GPF方法省略的Comagnetometer相位漂移。更新的空结果可以解释为95\ %CL下的$| d_\mathrm{A} (^{129}\mathrm{Xe}) | < 8.3 \times 10^{-28}~e~\mathrm{cm}$的新上限
英文摘要：
By measuring the nuclear magnetic spin precession frequencies of polarized $^{129}$Xe and $^{3}$He, a new upper limit on the $^{129}$Xe atomic electric dipole moment (EDM) $ d_\mathrm{A} (^{129}\mathrm{Xe})$ was reported in Phys. Rev. Lett. 123, 143003 (2019). Here, we propose a new evaluation method based on global phase fitting (GPF) for analyzing the continuous phase development of the $^{3}$He-$^{129}$Xe comagnetometer signal. The Cramer-Rao Lower Bound on the $^{129}$Xe EDM for the GPF method is theoretically derived and shows the potential benefit of our new approach. The robustness of the GPF method is verified with Monte-Carlo studies. By optimizing the analysis parameters and adding data that could not be analyzed with the former method, we obtain a result of $d_\mathrm{A} (^{129}\mathrm{Xe}) = 1.1 \pm 3.6~\mathrm{(stat)} \pm 2.0~\mathrm{(syst)} \times 10^{-28}~ e~\mathrm{cm}$ in an unblinded analysis. For the systematic uncertainty analyses, we adopted all methods from the aforementioned PRL publication except the comagnetometer phase drift, which can be omitted using the GPF method. The updated null result can be interpreted as a new upper limit of $| d_\mathrm{A} (^{129}\mathrm{Xe}) | < 8.3 \times 10^{-28}~e~\mathrm{cm}$ at the 95\% C.L.
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