Abstract
We implement imaging spectroscopy of the optical clock transition of
lattice-trapped degenerate fermionic Sr in the Mott-insulating regime,
combining micron spatial resolution with sub-millihertz spectral precision. We
use these tools to demonstrate atomic coherence for up to 15 s on the clock
transition and reach a record frequency precision of $2.510^-19$. We
perform the most rapid evaluation of trapping light shifts and record a 150 mHz
linewidth, the narrowest Rabi lineshape observed on a coherent optical
transition. The important emerging capability of combining high-resolution
imaging and spectroscopy will improve the clock precision, and provide a path
towards measuring many-body interactions and testing fundamental physics.
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