Related papers: 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

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

URL: http://arxiv.org/abs/2506.04057v1
Date: Wed, 04 Jun 2025 15:21:51 GMT
Title: 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
Authors: Pinrui Shen, Mariusz Pawlak, Donald Booth, Kent Nickerson, Haddad Miladi, H. R. Sadeghpour, James P. Shaffer,
Abstract summary: We present absolute frequency measurements of the $|6S_1/2, F = 3rangle rightarrow nF_5/2,7/2(n = 28-68)$ Rydberg series to measure the spectrum of $133$Cs.<n>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.<n>The results will be useful for calculating properties of $133$Cs such as collision and decay rates
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

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