State-dependent interactions in ultracold ${}^{174}$Yb probed by optical clock spectroscopy

We report on the measurement of the scattering properties of ultracold ${}^{174}$Yb bosons in a three-dimensional (3D) optical lattice. Site occupancy in an atomic Mott insulator is resolved with high-precision spectroscopy on an ultranarrow optical clock transition. Scattering lengths and loss rate coefficients for ${}^{174}$Yb atoms in different collisional channels involving the ground state ${}^1$S${}_0$ and the metastable ${}^3$P${}_0$ are derived. These studies set important constraints for future experimental studies of two-electron atoms for quantum-technological applications.