Hyperfine-mediated electric quadrupole shifts in Al${}^{+}$ and In${}^{+}$ ion clocks

K. Beloy, D. R. Leibrandt, W. M. Itano

We evaluate the electric quadrupole moments of the ${}^1{S}_0$ and ${}^3{P}_0$ clock states of ${}^{27}$Al${}^{+}$ and ${}^{115}$In${}^{+}$. To capture all dominant contributions, our analysis…