标题： 精确测量Cs($nF_J$)量子缺陷及$nS_{1/2}$、$nP_J$、$nD_J$和$nF_J$系列的标量和张量极化率的计算 显示英文标题

标题： Precision measurement of Cs($nF_J$) quantum defects and calculations of scalar and tensor polarizabilities of the $nS_{1/2}$, $nP_J$ ,$nD_J$ , and $nF_J$ series

摘要： 本文中，我们将最近关于铯S和D态的工作[Phys. Rev. Lett. 133, 233005 (2024)]扩展到F态。我们展示了对$|6S_{1/2}, F = 3\rangle \rightarrow nF_{5/2,7/2}(n = 28-68)$里德堡系列表的绝对频率测量，以测量$^{133}$铯原子的光谱。原子光谱通过三光子激发方案获得，该方案参考了超冷$^{133}$铯样品中的光学频率梳。通过全局拟合绝对频率测量值到修正的里兹公式，我们确定了$nF_{5/2}$和$nF_{7/2}$系的量子亏损。从修正的里兹公式提取的两个系列的电离势与基于S和D系的测量结果一致。精细结构间隔被计算并参数化。用于计算量子亏损能量的波函数被用来计算跃迁偶极矩。我们将归一化的电偶极矩阵元与可用的基准进行了比较，并发现其一致性在那些工作的精度范围内。 基于现在更为精确的波函数集合，计算了$nS_{1/2}$、$nP_J$、$nD_J$和$nF_J$系列的标量和张量极化率。此外，我们以有效主量子数的幂展开形式报告了极化率，并得到了展开的主要系数。这些结果将有助于计算$^{133}$铯原子的性质，如碰撞率和衰变率、极化率以及魔法波长。 显示英文摘要

摘要： In this paper, we extend our recent work on cesium S and D states [Phys. Rev. Lett. 133, 233005 (2024)] to the F states. We present absolute frequency measurements of the $|6S_{1/2}, F = 3\rangle \rightarrow nF_{5/2,7/2}(n = 28-68)$ Rydberg series to measure the spectrum of $^{133}$Cs. Atomic spectra are obtained using a three-photon excitation scheme referenced to an optical frequency comb in a sample of ultracold $^{133}$Cs. By globally fitting the absolute-frequency measurements to the modified Ritz formula, we determine the quantum defects of the $nF_{5/2}$ and $nF_{7/2}$ series. The ionization potential extracted for both series from the modified Ritz formula agrees with our measurements based on the S and D series. Fine-structure intervals are calculated and parameterized. The wave functions computed for the energies from the quantum defects are used to calculate transition dipole moments. We compare the reduced electric-dipole matrix elements with available benchmarks and find agreement within the precision of those works. The scalar and tensor polarizabilities of the $nS_{1/2}$, $nP_J$ , $nD_J$ and $nF_J$ series are calculated based on the now more accurate set of wave functions. Moreover, we report the polarizability as a series in powers of the effective principal quantum number and find the main coefficients of the expansion. The results will be useful for calculating properties of $^{133}$Cs such as collision and decay rates, polarizabilities, and magic wavelengths.