Polarizabilities of the 87Sr Clock Transition

TL;DR

This paper reviews and calculates the vector and tensor polarizabilities of the 87Sr clock transition, comparing theoretical results with experimental measurements and analyzing their effects on clock accuracy.

Contribution

It provides a detailed theoretical calculation that reproduces experimental polarizability coefficients and assesses their impact on optical clock precision.

Findings

Theoretical calculations match measured polarizability coefficients.

Polarizability shifts exhibit quadratic dependence on trap depth.

Impact of polarizabilities on clock accuracy is quantitatively evaluated.

Abstract

In this paper, we propose an in-depth review of the vector and tensor polarizabilities of the two energy levels of the 87Sr clock transition whose measurement was reported in [P. G. Westergaard et al., Phys. Rev. Lett. 106, 210801 (2011)]. We conduct a theoretical calculation that reproduces the measured coefficients. In addition, we detail the experimental conditions used for their measurement in two Sr optical lattice clocks, and exhibit the quadratic behaviour of the vector and tensor shifts with the depth of the trapping potential and evaluate their impact on the accuracy of the clock.