Precision determination of the ground-state hyperfine splitting of trapped ${}^{113}$Cd${}^{+}$ ions

Abstract

We measured the ground-state hyperfine splitting of trapped ${}^{113}$Cd${}^{+}$ ions to be 15199862855.02799(27) Hz with a fractional uncertainty of $1.8\times 10^{-14}$. The ions were trapped and laser-cooled in a linear quadrupole Paul trap. The fractional frequency stability was measured to be $4.2\times 10^{-13}/\sqrt{\tau }$, obtained from Ramsey fringes of high signal-to-noise ratio and taken over a measurement time of nearly 5 hours, which is close to the short-term stability limit estimated from the Dick effect. Our result is consistent with previous reported values, but the measurement precision is four times better than the best result obtained to date.

References in corpus (5)

• Laser-cooled ytterbium ion frequency standard
• Relativistic coupled-cluster theory analysis of energies, hyperfine structure constants, and dipole polarizabilities of Cd${}^{+}$
• Theoretical Investigation of the Black-body Zeeman Shift for Microwave Atomic Clocks
• Roles of electron correlation effects for accurate determination of $g_j$ factors of low-lying states of ${}^{113}$Cd${}^{+}$ and their applications to atomic clock
• Estimation of BBR shift due to Stark effect for the Microwave ${}^{113}$Cd${}^{+}$ Ion Clock

Cited by in corpus (3)

• Second-order Doppler frequency shifts of trapped ions in a linear Paul trap
• Sympathetic cooling of a large ${}^{113}{\mathrm{Cd}}^{+}$ ion crystal with ${}^{40}{\mathrm{Ca}}^{+}$ in a linear Paul trap
• Determination of hyperfine splittings and Landé $g_J$ factors of $5s{}^2{S}_{1/2}$ and $5p{}^2{P}_{1/2,3/2}$ states of ${}^{111,113}$Cd${}^{+}$ for a microwave frequency standard