State-dependent potentials for the ground and clock state in ultracold ytterbium*

The ground and meta-stable clock state pair in ytterbium provides an excellent resource for quantum metrology, simulation and computation applications. Being capable of individually addressing the two optical clock qubit states in a state-selective manner enhances the controllability of such systems, allowing for novel methods for state preparation, read-out or simulation schemes. Utilizing high-resolution clock spectroscopy, we present the first measurements of the Yb ground-state tune-out wavelength and of two new magic wavelengths as well as a route towards the determination of the clock-state tune-out wavelength. We further showcase how this will be used in our hybrid tweezer-lattice experiment to probe and engineer lattice gauge theories, using state-dependent potentials to robustly implement local gauge invariance.