Canceling light shifts in two-photon optical clocks using magic polarization

Probe laser light shifts represent an important source of uncertainty in optical clocks, especially for clocks operating on highly forbidden transitions or multi-photon transitions. We find magic polarization angles for the probe laser, at which the differential polarizability of the clock states is zero, in calcium and strontium two-photon clocks. Operating the clock at a magic polarization offers a robust and simple way to suppress probe laser light shifts in two-photon clocks.