Rydberg Spectroscopy in an Optical Lattice: Blackbody Thermometry for Atomic Clocks

We show that optical spectroscopy of Rydberg states can provide accurate in situ thermometry at room temperature. Transitions from a metastable state to Rydberg states with principal quantum numbers of 25-30 have 200 times larger fractional frequency sensitivities to blackbody radiation than the strontium clock transition. We demonstrate that magic-wavelength lattices exist for both strontium and ytterbium transitions between the metastable and Rydberg states. Frequency measurements of Rydberg transitions with 10-16 accuracy provide 10 mK resolution and yield a blackbody uncertainty for the clock transition of 10-18.