High-precision Electric Dipole Polarizabilities of the Clock States in ${}^{133}$Cs

Abstract

We have calculated static and dynamic electric dipole (E1) polarizabilities (${\alpha }_F$) of the hyperfine levels of the clock transition precisely in ${}^{133}$Cs. The scalar, vector, and tensor components of ${\alpha }_F$ are estimated by expressing as sum of valence, core, core-core, core-valence, and valence-core contributions that are arising from the virtual and core intermediate states. The dominant valence contributions are estimated by combining a large number of matrix elements of the E1 and magnetic dipole hyperfine interaction operators from the relativistic coupled-cluster method and measurements. For an insightful understanding of their accurate determination, we explicitly give intermediate contributions in different forms to the above quantities. Very good agreement of the static values for the scalar and tensor components with their experimental results suggest that our estimated dynamic ${\alpha }_F$ values can be used reliably to estimate the Stark shifts while conducting high-precision measurements at the respective laser frequency using the clock states of ${}^{133}$Cs.

V2: 13 pages, 6 figures, 7 tables, References added, some text added. Published in PRA

References in corpus (12)

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Cited by in corpus (3)

• Rydberg superatoms: An artificial quantum system for quantum information processing and quantum optics
• Demonstrating Correlation Trends in the Electric Dipole Polarizabilities of Many Low-lying States in Cs I through First-principle Calculations
• Applicability of the Dirac-Fock method combined with Core Polarization in calculations of alkali atoms