Blackbody radiation shift in a 43Ca+ ion optical frequency standard

TL;DR

This paper calculates the blackbody radiation shift for a specific calcium ion transition, crucial for developing precise optical frequency standards, using advanced relativistic methods to ensure accuracy.

Contribution

It provides the first detailed calculation of the BBR shift for the 43Ca+ ion's clock transition using the all-order single-double method, including uncertainty estimates.

Findings

BBR shift for the transition is 0.38(1) Hz.

Calculated tensor polarizability of the 3d_5/2 level.

Results agree with other theoretical calculations.

Abstract

Motivated by the prospect of an optical frequency standard based on 43Ca+, we calculate the blackbody radiation (BBR) shift of the 4s_1/2-3d_5/2 clock transition, which is a major component of the uncertainty budget. The calculations are based on the relativistic all-order single-double method where all single and double excitations of the Dirac-Fock wave function are included to all orders of perturbation theory. Additional calculations are conducted for the dominant contributions in order to evaluate some omitted high-order corrections and estimate the uncertainties of the final results. The BBR shift obtained for this transition is 0.38(1) Hz. The tensor polarizability of the 3d_5/2 level is also calculated and its uncertainty is evaluated as well. Our results are compared with other calculations.