Radio-frequency-spectroscopy measurement of the LandégJfactor of the5D5/2state of Ba+with a single trapped ion

Abstract

We report an improved measurement of the Land\'e ${g}_{J}$ factor of the $5{D}_{5/2}$ state of singly ionized barium. Measurements were performed on single Doppler-cooled ${}^{138}$Ba${}^{+}$ ions in linear Paul traps using two similar, independent apparatuses. Transitions between Zeeman sublevels of the $6{S}_{1/2}$ and $5{D}_{5/2}$ states were driven with two independent, stabilized radio-frequency synthesizers using a dedicated electrode within each ion trap chamber. State detection within each Zeeman manifold was achieved with a frequency-stabilized fiber laser operating at 1.76 $\ensuremath{\mu}$m. By calculating the ratio of the two Zeeman splittings, and using the measured Land\'e ${g}_{J}$ factor of the $6{S}_{1/2}$ state, we find a value of 1.200 372$({4}_{\mathrm{stat}})({7}_{\mathrm{sys}})$ for ${g}_{{D}_{5/2}}$.