Narrow-line Cooling and Determination of Magic Wavelength of Cd

Abstract

We experimentally and theoretically determine the magic wavelength of the (5$s^2$)${}^1{S}_0$$-$(5$s$5$p$)${}^3{P}_0$ clock transition of ${}^{111}$Cd to be 419.88(14) nm and 420.1(7) nm. To perform Lamb-Dicke spectroscopy of the clock transition, we use narrow-line laser cooling on the ${}^1{S}_0$$-$${}^3{P}_1$ transition to cool the atoms to 6 $\mu$K and load them into an optical lattice. Cadmium is an attractive candidate for optical lattice clocks because it has a small sensitivity to blackbody radiation and its efficient narrow-line cooling mitigates higher order light shifts. We calculate the blackbody shift, including the dynamic correction, to be fractionally 2.83(8)$\times$10${}^{-16}$ at 300 K, an order of magnitude smaller than that of Sr and Yb. We also report calculations of the Cd ${}^1{P}_1$ lifetime and the ground state $C_6$ coefficient.

6 pages 5 figures 1 table + supplemental material 3 pages 2 tables

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