Electrometry is performed using Rydberg states to evaluate the quadratic Stark shift of the 5s2 1udS0-5s5p 3udP0udclock transition in strontium. By measuring the Stark shift of the highly excited 5s75d 1udD2 state usingudelectromagnetically induced transparency, we characterize the electric field with sufficient precision to provideudtight constraints on the systematic shift to the clock transition. Using the theoretically derived, and experimentallyudverified, polarizability for this Rydberg state, we can measure the residual field with an uncertainty well belowud1Vm−1. This resolution allows us to constrain the fractional frequency uncertainty of the quadratic Stark shiftudof the clock transition to 2×10−20.
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