Magic wavelengths for the 7s _1/2 −6d _3/2,5/2 transitions in Ra ⁺

Abstract

The dynamic polarizabilities of the 7s and 6d states of Ra + are calculated using a relativistic core polarization potential method. The magic wavelengths of the 7s 1/2 -6d 3/2,5/2 transitions are identified. Comparing to the common radiofrequency (RF) ion traps, using the laser field at the magic wavelength to trap the ion could suppress the frequency uncertainty caused by the micromotion of the ion, and would not affect the transition frequency measurements. The heating rates of the ion and the powers of the laser for the ion trapping are estimated, which would benefit the possible precision measurements based on all-optical trapped Ra + .

Calculations of dynamic multipolar polarizabilities of the Cd clock transition levels*

“…Consequently, to include this physics in the calculation, the Dirac-Fock plus core-polarization (DFCP) method becomes an attractive alternative for an atom with a few valence electrons. The DFCP method has been widely and effectively applied to the calculation of the structural properties of heavy atoms, [19,20] and plays an important role in predicting the properties of heavy atoms quantitatively and qualitatively. However, as we know that the DFCP method only includes the leading term of the interaction between nucleus and valenceelectron, and ignores the high-order core polarization poten-tial.…”

Magic wavelengths for 6s1/2 → 5d3/2,5/2 transitions of Yb+ ions

“…[1,2], in which the shifts of a given pair of energy levels are the same as each other. The magic-wavelength trapping has been extensively used in optical lattice clocks, [3][4][5] and the performance and accuracy of optical lattice clocks have been greatly improved. [6,7] Yb + is one of the good candidates for ultrahigh-precision optical clocks.…”