Cavity control of a single-electron quantum cyclotron: Measuring the electron magnetic moment

Measurements with a one-electron quantum cyclotron determine the electron magnetic moment, given by $g/2=1.001\hspace{0.5em}159\hspace{0.5em}652\hspace{0.5em}180\hspace{0.5em}73(28)[0.28\mathrm{ppt}]$, and the fine structure constant, $\alpha {}^{-1}=137.035\hspace{0.5em}999\hspace{0.5em}084(51)[0.37\mathrm{ppb}]$. Announcements of these measurements [Phys. Rev. Lett. 97, 030801 (2006); 100, 120801 (2008)] are supplemented here with a more complete description of the one-electron quantum cyclotron and the 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. DOI: http://dx.doi.org/10.1103/PhysRevA.83.052122 This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. ©2011 American Physical Society