AI 中文总结
该研究对$^{138}\mathrm{Ba}^+$中约化电偶极矩矩阵元进行高精度测量，通过比较非共振散射率和色散斯塔克位移确定矩阵元及激发态辐射寿命，结合模型提取静态值，改进黑体辐射频移评估，为相关研究提供基准并推动应用。
AI 中文摘要
我们展示了对$^{138}\mathrm{Ba}^+$中约化电偶极矩矩阵元$\langle P_{1/2}\|r\|S_{1/2}\rangle$的高精度测量。通过比较非共振散射率和色散斯塔克位移测量，确定该矩阵元为$3.322\,7(12)$，对应$P_{1/2}$激发态辐射寿命为$7.866\,3(56)$纳秒。结合实验结果与先前的微分标量极化率模型，提取出静态值$\Delta\alpha_0(0) = -73.09(12)$原子单位。这一测定直接改进了黑体辐射频移评估，为原子结构计算提供严格基准，推动量子计量和基础物理高精度应用。
英文摘要
We present a high-precision measurement of the reduced electric-dipole matrix element $\langle P_{1/2}\|r\|S_{1/2}\rangle$ in $^{138}\mathrm{Ba}^+$. By comparing off-resonant scattering rates with dispersive Stark-shift measurements, we determine the matrix element to be $3.322\,7(12)$, corresponding to a $P_{1/2}$ excited-state radiative lifetime of $7.866\,3(56)$~ns. Combining our experimental results with a prior model for the differential scalar polarizability $Δα_0(ω)$, we extract the static value $Δα_0(0) = -73.09(12)$a.u. This determination directly improves the evaluation of the blackbody radiation (BBR) shift, minimizing a prominent systematic limitation in room-temperature $\mathrm{Ba}^+$ optical clock error budgets. These results provide a stringent benchmark for atomic-structure calculations and advance high-precision applications in quantum metrology and tests of fundamental physics.
Comments8 pages, 6 figures
