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.