Sympathetic-laser-cooling ion microwave frequency standard with accuracy and stability at level
Phys. Rev. A 113, 033114 – Published 18 March, 2026
DOI: https://doi.org/10.1103/1fp9-738h
Abstract
An accurate timescale is the backbone of the time-frequency system. In recent years, with the development of optical clocks, a hybrid microwave-optical timescale has been proposed. In this “optical clock steering a microwave flywheel oscillator” architecture, the noise of the microwave clock, typically a hydrogen maser, limits the performance. In this paper, we present a sympathetic-laser-cooled ion microwave frequency standard scheme that enables a longer Ramsey interrogation time than the fountain clock and eliminates the dead time induced by the laser-cooling process, thereby overcoming the limitation imposed by the Dick effect. The optimized configuration of a two-component Coulomb crystal suppresses ion loss, which degrades long-term frequency stability in the past. Using a hydrogen maser as reference for the microwave synthesizer chain, the frequency stability expressed in terms of Allan deviation is measured to be , better than that of the laser-cooled mercury ion microwave frequency standard, and reaches after continuously operating for 85 000 s. The systematic uncertainty is evaluated to be . We identify the residual magnetic-field fluctuation as the dominant limiting factor and discuss that the sympathetic-laser-cooled ion microwave clock promises to achieve a stability of and accuracy at level. Its excellent short-and-medium frequency stability is possible to develop a reliable flywheel oscillator or bridge the performance gap between the hydrogen maser and optical clock, therefore breaking through the limitation on local timescale from the flywheel.