Quadrupole shifts for the 171Yb+ ion clocks: experiments versus theories

Quadrupole shifts for three prominent clock transitions, [4f146s]2S1/2→[4f145d]2D3/2, [4f146s]2S1/2→[4f145d]2D5/2 and [4f146s]2S1/2→[4f136s2]2F7/2, in the Yb+ ion are investigated by calculating quadrupole moments (Θs) of the 5d3/2,5/2 and 4f7/2 states using the relativistic coupled-cluster (RCC) methods. We find an order difference in the Θ value of the 4f7/2 state between our calculation and the experimental result, but our result concur with the other calculations that are carried out using different many-body methods than ours. Nevertheless, our Θ value of the 5d3/2 state is in good agreement with the available experimental result and becomes more precise till date estimating the quadrupole shift of the [4f146s]2S1/2→[4f145d]2D3/2 clock transition more accurately. To justify accuracies in our calculations, we also evaluate the hyperfine structure constants of the 6s1/2, 5d3/2,5/2 and 4f7/2,5/2 states of 171Yb+ ion using the same RCC method and compare the results with their experimental values. Moreover, we determine lifetime of the 5d3/2 state to eradicate disagreement on its value from two different experiments.