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Chin. Phys. B, 2021, Vol. 30(8): 083102    DOI: 10.1088/1674-1056/abf0fc

Calculations of dynamic multipolar polarizabilities of the Cd clock transition levels

Mi Zhou(周密)1,2 and Li-Yan Tang(唐丽艳)1,†
1 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
2 University of Chinese Academy of Sciences, Beijing 100049, China
Abstract  The pursuit of a systematic frequency uncertainty beyond 10-18 clock has triggered a multitude of investigations on the multipolar and higher-order lattice light shifts. The Cd atom has been proposed as a new candidate for the development of a lattice clock because of its smaller blackbody radiation shift at room temperature. Here, we apply an improved combined method of the Dirac-Fock plus core polarization and relativistic configuration interaction methods to calculate the dynamic multipolar polarizabilities of the Cd clock states. The effects of the high-order core-polarization potentials on the energies, reduced matrix elements, and multipolar polarizabilities have been evaluated systematically. The detailed comparison with available literature demonstrates that taking into account of the high-order core-polarization potentials is a simple and effective approach to improve the results of atomic properties for heavy atoms.
Keywords:  Cd atomic clock      multipolar polarizabilities      high-order core-polarization potentials      DFCP+RCI method  
Received:  12 January 2021      Revised:  20 February 2021      Accepted manuscript online:  23 March 2021
PACS:  31.15.ap (Polarizabilities and other atomic and molecular properties) (Relativistic configuration interaction (CI) and many-body perturbation calculations)  
  95.55.Sh (Auxiliary and recording instruments; clocks and frequency standards)  
Fund: Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0304402), the Strategic Priority Research Program of the Chinese Academy of Sciences (Grants No. XDB21030300), and the Hubei Province Science Fund for Distinguished Young Scholars, China (Grant No. 2019CFA058).
Corresponding Authors:  Li-Yan Tang     E-mail:

Cite this article: 

Mi Zhou(周密) and Li-Yan Tang(唐丽艳) Calculations of dynamic multipolar polarizabilities of the Cd clock transition levels 2021 Chin. Phys. B 30 083102

[1] Godun R M, Nisbet-Jones P B R, Jones J M, King S A, Johnson L A M, Margolis H S, Szymaniec K, Lea S N, Bongs K and Gill P 2014 Phys. Rev. Lett. 113 210801
[2] Huntemann N, Lipphardt B, Tamm C, Gerginov V, Weyers S and Peik E 2014 Phys. Rev. Lett. 113 210802
[3] Safronova M S, Porsev S G, Sanner C and Ye J 2018 Phys. Rev. Lett. 120 173001
[4] Bregolin F, Milani G, Pizzocaro M, Rauf B, Thoumany P, Levi F and Calonico D 2017 J. Phys. Conf. Ser. 841 012015
[5] Yamanaka K, Ohmae N, Ushijima I, Takamoto M and Katori H 2015 Phys. Rev. Lett. 114 230801
[6] Pihan-Le Bars H, Guerlin C, Lasseri R D, Ebran J P, Bailey Q G, Bize S, Khan E and Wolf P 2017 Phys. Rev. D 95 075026
[7] Shaniv R, Ozeri R, Safronova M S, Porsev S G, Dzuba V A, Flambaum V V and Hffner H 2018 Phys. Rev. Lett. 120 103202
[8] Kozlov M G, Safronova M S, Crespo Lpez-Urrutia J R and Schmidt P O 2018 Rev. Mod. Phys. 90 45005
[9] Oelker E, Hutson R B, Kennedy C J, Sonderhouse L, Bothwell T, Goban A, Kedar D, Sanner C, Robinson J M, Marti G E, Matei D G, Legero T, Giunta M, Holzwarth R, Riehle F, Sterr U and Ye J 2019 Nat. Photon. 13 714
[10] McGrew W F, Zhang X, Fasano R J, Schffer S A, Beloy K, Nicolodi D, Brown R C, Hinkley N, Milani G, Schioppo M, Yoon T H and Ludlow A D 2018 Nature 564 87
[11] Brewer S M, Chen J S, Hankin A M, Clements E R, Chou C W, Wineland D J, Hume D B and Leibrandt D R 2019 Phys. Rev. Lett. 123 033201
[12] Huntemann N, Sanner C, Lipphardt B, Tamm C and Peik E 2016 Phys. Rev. Lett. 116 063001
[13] Kaneda Y, Yarborough J M, Merzlyak Y, Yamaguchi A, Hayashida K, Ohmae N and Katori H 2016 Opt. Lett. 41 705
[14] Brickman K A, Chang M S, Acton M, Chew A, Matsukevich D, Haljan P C, Bagnato V S and Monroe C 2007 Phys. Rev. A 76 043411
[15] Dzuba V A and Derevianko A 2019 J. Phys. B: At. Mol. Opt. Phys. 52 215005
[16] Porsev S G and Derevianko A 2006 Phys. Rev. A 74 020502
[17] Yamaguchi A, Safronova M S, Gibble K and Katori H 2019 Phys. Rev. Lett. 123 113201
[18] Porsev S G and Safronova M S 2020 Phys. Rev. A 102 012811
[19] Tang Y B, Qiao H X, Shi T Y and Mitroy J 2013 Phys. Rev. A 87 042517
[20] Wu X M, Li C B, Tang Y B and Shi T Y 2016 Chin. Phys. B 25 093101
[21] Wu F F, Tang Y B, Shi T Y and Tang L Y 2019 Phys. Rev. A 100 042514
[22] Wu F F, Tang Y B, Shi T Y and Tang L Y 2020 Phys. Rev. A 101 053414
[23] Mitroy J and Norcross D W 1988 Phys. Rev. A 37 3755
[24] Tang Y B, Li C B and Qiao H X 2014 Chin. Phys. B 23 063101
[25] Johnson W R, Kolb D and Huang K N 1983 At. Data Nucl. Data Tables 28 333
[26] Mitroy J, Safronova M S and Clark C W 2010 J. Phys. B: At. Mol. Opt. Phys. 43 202001
[27] Mitroy J and Bromley M W 2003 Phys. Rev. A 68 052714
[28] Kramida A, Ralchenko Yu, Reader J and NIST ASD Team 2019 NIST Atomic Spectra Database version.5.7.1
[29] Mitroy J and Bromley M W J 2003 Phys. Rev. A 68 052714
[30] Bottcher C and Alexander D 1974 Proc. R. Soc. Lon. A. 340 187
[31] Zhang Y H, Tang L Y, Zhang X Z and Shi T Y 2015 Phys. Rev. A 92 012515
[32] Ye A P and Wang G F 2008 Phys. Rev. A 78 014502
[33] Porsev S G, Derevianko A and Fortson E N 2004 Phys. Rev. A 69 021403
[34] Goebel D and Hohm U 1995 Phys. Rev. A 52 3691
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