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Acta Physica Sinica

Theoretical study on the polarizabilities of 5s2 1S0 and 5s5p 3P0 states of 87Sr atom

Ru-Kui Zhang, Tang Yong-Bo, Jiang Jun, Deng-Hong Zhang

Published Oct 8, 2026• 0 citations

Abstract

本文利用相对论组态相互作用结合多体微扰理论方法（RCI+MBPT），对 87Sr 原子的能级和电偶极跃迁矩阵元、 5s2 1S0、 5s5p 3P0 态的极化率、幻零波长及 5s2 1S0→5s5p 3P0 钟跃迁魔幻波长进行了计算，得到的结果与实验测量值及其他理论计算结果符合的很好。并进一步计算了 87Sr 原子的超精细结构常数和超精细相互作用能，详细研究了超精细相互作用对5s2 1S0 和 5s5p 3P0 态的极化率、幻零波长以及 5s2 1S0→5s5p 3P0 钟跃迁魔幻波长的影响，与不考虑超精细相互作用的结果进行了对比，发现超精细相互作用对 5s2 1S0和 5s5p 3P0 态的极化率的影响在 10−4a.u.量级，对 5s21S0→5s5p 3P0 钟跃迁魔幻波长的影响在 0.001 nm 量级，这些理论计算结果为进一步发展高精度的 87Sr 原子光钟提供参考。

DOI: 10.7498/aps.76.20261188

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本文利用相对论组态相互作用结合多体微扰理论方法（RCI+MBPT），对 87Sr 原子的能级和电偶极跃迁矩阵元、 5s2 1S0、 5s5p 3P0 态的极化率、幻零波长及 5s2 1S0→5s5p 3P0 钟跃迁魔幻波长进行了计算，得到的结果与实验测量值及其他理论计算结果符合的很好。并进一步计算了 87Sr 原子的超精细结构常数和超精细相互作用能，详细研究了超精细相互作用对5s2 1S0 和 5s5p 3P0 态的极化率、幻零波长以及 5s2 1S0→5s5p 3P0 钟跃迁魔幻波长的影响，与不考虑超精细相互作用的结果进行了对比，发现超精细相互作用对 5s2 1S0和 5s5p 3P0 态的极化率的影响在 10−4a.u.量级，对 5s21S0→5s5p 3P0 钟跃迁魔幻波长的影响在 0.001 nm 量级，这些理论计算结果为进一步发展高精度的 87Sr 原子光钟提供参考。

介绍了基于87 Rb原子5S1/2-5P3/2-4D5/2阶梯型能级系统中的双光子偏振光谱。与其他跃迁相比,循环跃迁的信噪比最好。研究了双光子偏振光谱循环跃迁线信号强度随抽运光光强的变化情况。利用双光子偏振光谱,将1529nm半导体激光器的频率锁定于^87 Rb原子的5P3/2（F′=3）-4D5/2（F″=4）跃迁线上,当取样时间τ=100s时阿仑方差最小,为σy（τ）=1.3×10^-11。与自由运转相比,该方法显著地改善了1529nm激光器长期频率稳定度。

In this paper we present a method of observing triplet state transitions of strontium. The intercombination transition is employed to pump the atom population from singlet-state (5s2)1S0 to triplet-state (5s5p)3P1 by a laser at 689 nm. Then 688 nm laser is also employed to divide atom population into the two other triplet-state states (5s5p)3P0 and (5s5p)3PP2. We can obtain the absorption signals of triplet-state transition (5s6s)3S1 → (5s5p)3P0 and (5s6p)3S1 → (5s5p)3P3P2. And these atomic absorption signals can be used for stabilizing the repumping light 679 nm and 707 nm directly to transition line of strontium. This method can be used in the Doppler cooling of strontium atoms.

We review recent experimental progress concerning the 87Sr optical lattice clock at the National Time Service Center in China. Hertz-level spectroscopy of the 87Sr clock transition for the optical lattice clock was performed, and closed-loop operation of the optical lattice clock was realized. A fractional frequency instability of 2.8 × 10−17 was attained for an averaging time of 2000 s. The Allan deviation is found to be 1.6 × 10−15/τ1/2 and is limited mainly by white-frequency-noise. The Landé g-factors of the (5s2)1S0 and (5s5p)3P0 states in 87Sr were measured experimentally; they are important for evaluating the clock’s Zeeman shifts. We also present recent work on the miniaturization of the strontium optical lattice clock for space applications.