Comparing magic wavelengths for the $6s{}^2{S}_{1/2}-6p{}^2{P}_{1/2,3/2}$ transitions of Cs using circularly and linearly polarized light

Abstract

We demonstrate magic wavelengths, at which external electric field produces null differential Stark shifts, for the $6s{}^2{S}_{1/2}-6p{}^2{P}_{1/2,3/2}$ transitions in the Cs atom due to circularly polarized light. In addition, we also obtain magic wavelengths using linearly polarized light, in order to verify the previously reported values, and make a comparative study with the values obtained for circularly polarized light. A number of these wavelengths are found to be in the optical region and could be of immense interest to experimentalists for carrying out high precision measurements. To obtain these wavelengths, we have calculated dynamic dipole polarizabilities of the ground, $6p{}^2{P}_{1/2}$ and $6p{}^2{P}_{3/2}$ states of Cs. We use the available precise values of the electric dipole (E1) matrix elements of the transitions that give the dominant contributions from the lifetime measurements of the excited states. Other significantly contributing E1 matrix elements are obtained by employing a relativistic coupled-cluster singles and doubles method. The accuracies of the dynamic polarizabilities are substantiated by comparing the static polarizability values with the corresponding experimental results.

9 pages, 4 figures

References in corpus (4)

• Magic wavelengths for the np-ns transitions in alkali-metal atoms
• Experimental observation of magic-wavelength behavior in optical lattice-trapped ${}^{87}$Rb
• Accurate determination of electric-dipole matrix elements in K and Rb from Stark shift measurements
• Magic wavelengths in the alkaline earth ions

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• Tune-out wavelengths of the hyperfine components of the ground level of ${}^{133}$Cs atoms
• Relativistic and Electron Correlation Effects in Static Dipole Polarizabilities for Main-Group Elements
• Investigating the $4D_{3/2}|3,\pm 2⟩$--$4D_{5/2}|3,\pm 2⟩$ transition in Nb${}^{4+}$ for a THz atomic clock