Frequency shifts in gravitational resonance spectroscopy
S. Bae{\ss}ler, V.V. Nesvizhevsky, G. Pignol, K.V. Protasov, D., Rebreyend, E.A. Kupriyanova, A.Yu. Voronin

TL;DR
This paper analyzes systematic frequency shifts in gravitational resonance spectroscopy of ultracold neutrons, emphasizing the importance of accounting for these effects in high-precision measurements.
Contribution
It identifies and discusses three key systematic frequency shifts—Stern-Gerlach, interference, and spectator state shifts—in gravitational resonance spectroscopy.
Findings
Identified three main systematic frequency shifts.
Analyzed the impact of these shifts on measurement accuracy.
Highlighted the necessity of considering these effects in precision experiments.
Abstract
Quantum states of ultracold neutrons in the gravitational field are to be characterized through gravitational resonance spectroscopy. This paper discusses systematic effects that appear in the spectroscopic measurements. The discussed frequency shifts, which we call Stern-Gerlach shift, interference shift, and spectator state shift, appear in conceivable measurement schemes and have general importance. These shifts have to be taken into account in precision experiments.
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