We present measurements of three distinctive state-dependent wavelengths for the ${}^{1}S_0\text{−}{}^{3}P_0$ clock transition in ${}^{\text{174}}\text{Yb}$ atoms. Specifically, we determine two magic wavelengths at 652.281(21) and $542.50205\left(19\right)\text{THz}$, where the differential light shift on the ${}^{1}S_0\text{−}{}^{3}P_0$ clock transition vanishes, and one tune-out wavelength at $541.8325\left(5\right)\text{THz}$, where the polarizability of the ${}^{1}S_0$ ground state exhibits a zero crossing. The two magic wavelengths are identified by spectroscopically interrogating cold ${}^{\text{174}}\text{Yb}$ 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.

• Received 16 August 2023
• Accepted 1 November 2023

DOI:https://doi.org/10.1103/PhysRevA.108.053325