Extracting transition rates from zero-polarizability spectroscopy

We predict a sequence of magic-zero wavelengths for the Sr excited $5s5p{}^3{P}_0$ state, and provide a general roadmap for extracting transition matrix elements using precise frequency measurements. We demonstrate that such measurements can serve as a global benchmark of the spectroscopic accuracy that is required for the development of high-precision predictive methods. These magic-zero wavelengths are also needed for state-selective atom manipulation for implementation of quantum logic operations. We also identify five magic wavelengths of the $5s^2{}^1{S}_0\text{−}5s5p{}^3{P}_0$ Sr clock transition between 350 and 500 nm which can also serve as precision benchmarks.

Figure 1

The dynamic polarizabilities of Sr $5s^2{}^1{S}_0$ and $5s5p{}^3{P}_0$ states in the 350–460 nm wavelength range.

Figure 2

The dynamic polarizabilities of Sr $5s^2{}^1{S}_0$ and $5s5p{}^3{P}_0$ states in the 460–840 nm wavelength range.