Tune-out wavelengths of the hyperfine components of the ground level of ${}^{133}\mathrm{Cs}$ atoms

The static and dynamic electric-dipole polarizabilities and tune-out wavelengths for the ground state of Cs atoms are calculated by using a semiempirical relativistic configuration interaction plus core polarization approach. By considering the hyperfine splittings, the static and dynamic polarizabilities, hyperfine Stark shifts, and tune-out wavelengths of the hyperfine components of the ground level of ${}^{133}\mathrm{Cs}$ atoms are determined. It is found that the hyperfine shifts of the first primary tune-out wavelengths are about $-0.0135$ and 0.0106 nm, which are very close to the hyperfine interaction energies. Additionally, the contribution of the tensor polarizability to the tune-out wavelengths is determined to be about ${10}^{-5}$–${10}^{-6}$ nm.

Figure 1

Dynamic polarizabilities of the ground state of Cs atoms. Three visible tune-out wavelengths are found, which are marked with arrows. Approximate positions of the $6s_{1/2}\to n{p}_j$ resonances are indicated by vertical dotted lines.

Figure 2

Natural logarithm of the ratio, ln ($T_{\mathrm{Ref}}/T_{\mathrm{RCICP}}$).