The Standard Model Extension For a Modified Ives-Stillwell Test

TL;DR

This paper develops a comprehensive theoretical model for a modified Ives-Stillwell experiment using counter-propagating lasers to achieve ultra-narrow resonances, linking atomic and laser frequencies within Lorentz-violating electrodynamics.

Contribution

It provides the first complete theoretical framework for a modified Ives-Stillwell test within the Standard Model Extension, incorporating Lorentz violation effects.

Findings

Achieves resonance widths as narrow as 1 Hz.

Connects atomic rest frame resonance with lab frame laser frequency.

Extends simplified models to a full Lorentz-violating electrodynamics theory.

Abstract

In this paper we present the full theoretical model of a modified Ives-Stillwell experiment where counter propagating lasers are used to form a narrow interference fringe when the lasers form a double resnonance. This narrow resoannce can be as small as 1 Hz wide and therefore provides a connection between the atomic resonance in its rest frame and the laser frequency in the lab frame. The current paper builds on a simplified approach suggested recently and presents a fully developed theory of the interaction within the Lorentz vilating electrodynamics of the Standard Model Extension.