Auto-Balanced Ramsey Spectroscopy
Christian Sanner, Nils Huntemann, Richard Lange, Christian Tamm, and, Ekkehard Peik

TL;DR
This paper introduces an auto-balanced Ramsey spectroscopy method that actively cancels interrogation-induced shifts, enabling highly accurate atomic clock measurements without error from common perturbations.
Contribution
The authors develop a universal, perturbation-immune Ramsey spectroscopy technique that balances responses from unequal probe cycles to eliminate systematic shifts.
Findings
Successfully demonstrated on $^{171}$Yb$^{+}$ optical clock transition.
Eliminates light shifts, phase chirps, and Zeeman shifts.
Achieves frequency accuracy below 10^{-18}.
Abstract
We devise a perturbation-immune version of Ramsey's method of separated oscillatory fields. Spectroscopy of an atomic clock transition without compromising the clock's accuracy is accomplished by actively balancing the spectroscopic responses from phase-congruent Ramsey probe cycles of unequal durations. Our simple and universal approach eliminates a wide variety of interrogation-induced line shifts often encountered in high precision spectroscopy, among them, in particular, light shifts, phase chirps, and transient Zeeman shifts. We experimentally demonstrate auto-balanced Ramsey spectroscopy on the light shift prone Yb electric octupole optical clock transition and show that interrogation defects are not turned into clock errors. This opens up frequency accuracy perspectives below the level for the Yb system and for other types of optical clocks.
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