Precision measurements on the ${}^{138}$Ba${}^{+}$ $6s^2{S}_{1/2}-5d^2{D}_{5/2}$ clock transition

Abstract

Measurement of the ${}^{138}$Ba${}^{+}$ ${}^2{S}_{1/2}-{}^2{D}_{5/2}$ clock transition frequency and $D_{5/2}$ Landé $g_J$ factor are reported. The clock transition frequency ${\nu }_{{\mathrm{Ba}}^{+}}=170126432449333.31\pm (0.39{)}_{\mathrm{stat}}\pm (0.29{)}_{\mathrm{sys}}$Hz, is obtained with accuracy limited by the frequency calibration of the maser used as a reference oscillator. The Landé $g_J$-factor for the ${}^2{D}_{5/2}$ level is determined to be $g_D=1.20036739(24)$, which is a 30-fold improvement on previous measurements. The $g$-factor measurements are corrected for an ac-magnetic field from trap-drive-induced currents in the electrodes, and data taken over a range of magnetic fields underscores the importance of accounting for this systematic.

5 pages, 4 figures, plus 3 page Supplemental Material

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• Magic wavelength of the ${}^{138}$Ba${}^{+}$ $6s{}^2{S}_{1/2}-5d{}^2{D}_{5/2}$ clock transition
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