Improved estimate of the collisional frequency shift in Al${}^{+}$ optical clocks

Abstract

Collisions between background gas particles and the trapped ion in an atomic clock can subtly shift the frequency of the clock transition. The uncertainty in the correction for this effect makes a significant contribution to the total systematic uncertainty budget of trapped-ion clocks. Using a non-perturbative analytic framework that was developed for this problem, we estimate the frequency shift in Al${}^{+}$ ion clocks due to collisions with helium and hydrogen. Our calculations significantly improve the uncertainties in the collisional shift coefficients, and show that the collisional frequency shifts for Al${}^{+}$ are zero to within uncertainty.

References in corpus (7)

• Frequency Comparison of Two High-Accuracy Al+ Optical Clocks
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Single-Ion Atomic Clock with $3\times 10^{-18}$ Systematic Uncertainty
• Sympathetic ground state cooling and time-dilation shifts in an ${}^{27}{\text{Al}}^{+}$ optical clock
• Lattice-induced photon scattering in an optical lattice clock
• Systematic uncertainty due to background-gas collisions in trapped-ion optical clocks
• The collisional frequency shift of a trapped-ion optical clock

Cited by in corpus (1)

• Interactions and charge transfer dynamics of an Al${}^{+}$ ion immersed in ultracold Rb and Sr atoms