State-dependent potentials for the ${}^1{\text{S}}_0$ and ${}^3{\text{P}}_0$ clock states of neutral ytterbium atoms

We present measurements of three distinctive state-(in)dependent wavelengths for the ${}^1{\text{S}}_0{-}^3{\text{P}}_0$ clock transition in ${}^{174}\text{Yb}$ atoms. Specifically, we determine two magic wavelengths at $652.281(21)$THz and $542.50205(19)$THz, where the differential light shift on the ${}^1{\text{S}}_0{-}^3{\text{P}}_0$ clock transition vanishes, and one tune-out wavelength at $541.8325(5)$THz, where the polarizability of the ${}^1{\text{S}}_0$ ground state exhibits a zero crossing. The two new magic wavelengths are identified by spectroscopically interrogating cold ${}^{174}\text{Yb}$ atoms on the clock transition in a one-dimensional optical lattice. The ground-state tune-out wavelength is determined via a parametric heating scheme. With a simple empirical model, we then extrapolate the ground and excited state polarizability over a broad range of wavelengths in the visible spectrum.