Theoretical calculation of the quadratic Zeeman shift coefficient of the^(3)P_(0)^(o)clock state for strontium optical lattice clock  

作　　者：Benquan Lu Xiaotong Lu Jiguang Li Hong Chang 卢本全;卢晓同;李冀光;常宏(National Time Service Center,Xi’an 710000,China;The University of Chinese Academy of Sciences,Beijing 100088,China;Institute of Applied Physics and Computational Mathematics,Beijing 100088,China)

机构地区：[1]National Time Service Center,Xi’an 710000,China [2]The University of Chinese Academy of Sciences,Beijing 100088,China [3]Institute of Applied Physics and Computational Mathematics,Beijing 100088,China

出　　处：《Chinese Physics B》2022年第4期249-254,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant No.61775220);the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB21030100);the Key Research Project of Frontier Science of the Chinese Academy of Sciences(Grant No.QYZDB-SSW-JSC004);the West Light Foundation of the Chinese Academy of Sciences(Grant No.XAB2018B17)。

摘　　要：In the weak-magnetic-field approximation,we derived an expression of quadratic Zeeman shift coefficient of^(3)P_(0)^(o)clock state for^(88)Sr and^(87)Sr atoms.By using this formula and the multi-configuration Dirac-Hartree-Fock theory,the quadratic Zeeman shift coefficients were calculated.The calculated values C_(2)=-23.38(5)MHz/T^(2) for^(88)Sr and the^(3)p_(0)^(o),F=9/2,M_(F)=±9/2 clock states for^(87)Sr agree well with the other available theoretical and experimental values,especially the most accurate measurement recently.In addition,the calculated values of the^(3)p_(0)^(o),F=9/2,M_(F)=±9/2 clock states were also determined in our^(87)Sr optical lattice clock.The consistency with measurements verifies the validation of our calculation model.Our theory is also useful to evaluate the second-order Zeeman shift of the clock transition,for example,the new proposed^(1)S_(0),F=9/2,M_(F)=±5/2-^(3)P_(0)^(o),F=9/2,M_(F)=±3/2 transitions.

关 键 词：optical lattice clock quadratic Zeeman shift coefficient STRONTIUM 

分 类 号：O43[机械工程—光学工程] TH714[理学—光学]