Enhancing Divalent Optical Atomic Clocks with the $^{1}\mathrm{S}_0$$\leftrightarrow$$^{3}\mathrm{P}_{2}$ Transition

TL;DR

This paper explores the electric quadrupole transition in divalent atoms, especially $^{27}$Al$^{+}$, to improve optical atomic clocks and enable new tests of fundamental physics.

Contribution

It provides detailed atomic property calculations for the $^{1}\mathrm{S}_0 \leftrightarrow \ ^{3}\mathrm{P}_2$ transition, highlighting its potential to enhance clock precision and sensitivity to new physics.

Findings

Calculated differential polarizability and hyperfine effects for the transition.

Identified the transition's potential to reduce systematic uncertainties in clocks.

Proposed using the transition for searches beyond the Standard Model.

Abstract

Divalent atoms and ions with a singlet $S$ ground state and triplet $P$ excited state form the basis of many high-precision optical atomic clocks. Along with the metastable $^{3}\mathrm{P}_{0}$ clock state, these atomic systems also have a nearby metastable $^{3}\mathrm{P}_{2}$ state. We investigate the properties of the electric quadrupole $^{1}\mathrm{S}_0$$\leftrightarrow$$^{3}\mathrm{P}_{2}$ transition with a focus on enhancing already existing optical atomic clocks. In particular, we investigate the $^{1}\mathrm{S}_0$$\leftrightarrow$$^{3}\mathrm{P}_{2}$ transition in $^{27}\mathrm{Al}^{+}$ and calculate the differential polarizability, hyperfine effects, and other relevant atomic properties. We also discuss potential applications of this transition, notably that it provides two transitions with different sensitivities to systematic effects in the same species. In addition, we describe how the $^{1}\mathrm{S}_0$$\leftrightarrow$$^{3}\mathrm{P}_{2}$ transition can be used to search for physics beyond the Standard Model and motivate investigation of this transition in other existing optical atomic clocks.