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Chin. Phys. B, 2022, Vol. 31(8): 083102    DOI: 10.1088/1674-1056/ac5880

Dynamic polarizabilities of the clock states of Al+

Yuan-Fei Wei(魏远飞)1,3,4,†, Zhi-Ming Tang(唐志明)2,†, Cheng-Bin Li(李承斌)1,‡, Yang Yang(杨洋)2,§, Ya-Ming Zou(邹亚明)2, Kai-Feng Cui(崔凯枫)1,4, and Xue-Ren Huang(黄学人)1,4,¶
1 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
2 Shanghai EBIT Laboratory, Key Laboratory of Nuclear Physics and Ion-Beam Application(MOE), Institute of Modern Physics, Fudan University, Shanghai 200433, China;
3 University of Chinese Academy of Sciences, Beijing 100049, China;
4 Key Laboratory of Atom Frequency Standards, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
Abstract  The dynamic polarizabilities of ${\rm 3s}^2\,^1{\rm S}_0$ and ${\rm 3s}{\rm 3p}\,^3{\rm P}_0^{\rm o}$ states of Al$^+$ are calculated using the hybrid configuration interaction and many-body perturbation theory method, and multiconfiguration Dirac-Hartree-Fock method in this work. Five ultraviolet magic wavelengths for the Al$^+$ clock transition ${\rm 3s}^2\,^1{\rm S}_0$-${\rm 3s3p}\,^3{\rm P}_0^{\rm o}$ are predicted. Although the suitable lasers are not available presently, the potential precision measurement on these magic wavelengths for the Al$^+$ clock transition would be used to extract the ratios of several certain transition matrix elements with high accuracy, and then help to improve the precision and reliability of the estimate of the BBR shift of the Al$^+$ clock transition. The differential dynamic polarizabilities at certain wavelengths are evaluated, which are useful to assess the ac Stark shift of the Al$^+$ clock transition frequency and helpful in the clock experiments to suppress the ac Stark shift of the clock transition as possible as it can.
Keywords:  dynamic polarizability      Al+ optical clock  
Received:  04 December 2021      Revised:  04 February 2022      Accepted manuscript online:  25 February 2022
PACS:  31.15.ap (Polarizabilities and other atomic and molecular properties) (Relativistic configuration interaction (CI) and many-body perturbation calculations)  
  32.60.+i (Zeeman and Stark effects)  
Fund: The authors would like to thank Professor M. G. Kozlov and Dr. Y. M. Yu for the helpful assistance on the use of CI-MBPT package. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11934014, 11904387, 11704076, and U1732140), the National Key Research and Development Program of China (Grant Nos. 2017YFA0304401 and 2017YFA0304402), and Technical Innovation Program of Hubei Province, China (Grant No. 2018AAA045).
Corresponding Authors:  Cheng-Bin Li, Yang Yang, Xue-Ren Huang     E-mail:;;

Cite this article: 

Yuan-Fei Wei(魏远飞), Zhi-Ming Tang(唐志明), Cheng-Bin Li(李承斌), Yang Yang(杨洋), Ya-Ming Zou(邹亚明), Kai-Feng Cui(崔凯枫), and Xue-Ren Huang(黄学人) Dynamic polarizabilities of the clock states of Al+ 2022 Chin. Phys. B 31 083102

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