Collisionally Induced Atomic Clock Shifts and Correlations

TL;DR

This paper introduces a formalism that accounts for exchange symmetry in calculating collisional frequency shifts and blackbody radiation effects in atomic clocks, applicable to both fermionic and bosonic atoms, with specific results for strontium-87.

Contribution

It presents a new density matrix formalism that incorporates exchange symmetry considerations into atomic clock shift calculations for fermions and bosons.

Findings

Results for ${}^{87}$Sr in a magic wavelength optical lattice are provided.

The formalism accurately models collisional shifts at finite temperatures.

The approach enhances precision in atomic clock frequency predictions.

Abstract

We develop a formalism to incorporate exchange symmetry considerations into the calculation of collisional frequency shifts and blackbody radiation effects for atomic clock transitions using a density matrix formalism. The formalism is developed for both fermionic and bosonic atomic clocks. Results for a finite temperature ${}^{87}$Sr ${}^1S_0$ ($F = 9/2$) atomic clock in a magic wavelength optical lattice are presented.