Characterization of a Static Magnetic Field with Two-Photon Rotational Spectroscopy of Cold Trapped HD+

Abstract

Two-photon rotational spectroscopy of cold trapped HD+ ions may be exploited for characterization of the magnitude and orientation of a static magnetic field in the ion trap. The experimental setup and the approach for calibration of the magnetic field vector are described. A sensitivity at the 10−11 T level may be reached with Zeeman spectroscopy of a hyperfine component of the $(\mathrm{v},\mathrm{L}) =(0,0)\rightarrow(0,2)$ transition. The orientation of a magnetic field with a magnitude at the $1\ \mu \mathrm{T}$ level may be characterized with an uncertainty better than 30 mrad.