Cavity Control of a Single-Electron Quantum Cyclotron:\\Measuring the Electron Magnetic Moment

TL;DR

This paper reports precise measurements of the electron magnetic moment and fine structure constant using a one-electron quantum cyclotron, highlighting cavity control techniques and detailed analysis of measurement uncertainties.

Contribution

It introduces new measurement methods and cavity control techniques for the one-electron quantum cyclotron, improving precision in fundamental constant determination.

Findings

Electron magnetic moment measured with 0.28 ppt precision

Fine structure constant determined with 0.37 ppb accuracy

Enhanced understanding of cavity control in quantum measurements

Abstract

Measurements with a one-electron quantum cyclotron determine the electron magnetic moment, given by $g/2 = 1.001\,159\,652\,180\,73\,(28)\,[0.28~\textrm{ppt}]$, and the fine structure constant, $\alpha^{-1}=137.035\,999\,084\,(51)\,[0.37~\textrm{ppb}]$. Brief announcements of these measurements are supplemented here with a more complete description of the one-electron quantum cyclotron and the new measurement methods, a discussion of the cavity control of the radiation field, a summary of the analysis of the measurements, and a fuller discussion of the uncertainties.