Sympathetic Ground State Cooling and Time-Dilation Shifts in an Al27+ Optical Clock

J.-S. Chen, S. M. Brewer, C. W. Chou, D. J. Wineland, D. R. Leibrandt, D. B. Hume
2017 Physical Review Letters  
We report on Raman sideband cooling of ^25Mg^+ to sympathetically cool the secular modes of motion in a ^25Mg^+-^27Al^+ two-ion pair to near the three-dimensional (3D) ground state. The evolution of the Fock-state distribution during the cooling process is studied using a rate-equation simulation, and various heating sources that limit the efficiency of 3D sideband cooling in our system are discussed. We characterize the residual energy and heating rates of all of the secular modes of motion
more » ... estimate a secular motion time-dilation shift of -(1.9 ± 0.1)× 10^-18 for an ^27Al^+ clock at a typical clock probe duration of 150 ms. This is a 50-fold reduction in the secular motion time-dilation shift uncertainty in comparison with previous ^27Al^+ clocks.
doi:10.1103/physrevlett.118.053002 pmid:28211723 fatcat:j4pkzgiddjeizhbjorkriihyey