Magic wavelengths, matrix elements, polarizabilities, and lifetimes of Cs

TL;DR

This paper provides a comprehensive high-precision theoretical analysis of cesium atomic properties, including energies, transition rates, lifetimes, and polarizabilities, with applications to identifying magic wavelengths for optical transitions.

Contribution

It offers new high-accuracy calculations of cesium atomic properties and identifies magic wavelengths relevant for optical trapping and quantum information applications.

Findings

Calculated excitation energies, matrix elements, and lifetimes for Cs levels up to n=12.

Provided electric dipole and quadrupole polarizabilities with uncertainty estimates.

Identified magic wavelengths for key Cs transitions between 1160 nm and 1800 nm.

Abstract

Motivated by recent interest in their applications, we report a systematic study of Cs atomic properties calculated by a high-precision relativistic all-order method. Excitation energies, reduced matrix elements, transition rates, and lifetimes are determined for levels with principal quantum numbers $n \leq 12$ and orbital angular momentum quantum numbers $l \leq 3$. Recommended values and estimates of uncertainties are provided for a number of electric-dipole transitions and the electric dipole polarizabilities of the $ns$, $np$, and $nd$ states. We also report a calculation of the electric quadrupole polarizability of the ground state. We display the dynamic polarizabilities of the $6s$ and $7p$ states for optical wavelengths between 1160 nm and 1800 nm and identify corresponding magic wavelengths for the $6s-7p_{1/2}$, $6s-7p_{3/2}$ transitions. The values of relevant matrix elements needed for polarizability calculations at other wavelengths are provided.