Representation-free description of light-pulse atom interferometry including non-inertial effects

TL;DR

This paper presents a versatile, representation-free operator algebra method for analyzing light-pulse atom interferometers in arbitrary non-inertial frames, accounting for complex trajectories and environmental effects to enhance precision in fundamental physics experiments.

Contribution

It introduces a novel, operator algebra-based approach that unifies and extends previous models for atom interferometry in non-inertial frames, enabling analysis of complex geometries and effects.

Findings

Analytical expressions for phase shift and visibility in arbitrary configurations

Unified framework incorporating gravitational and rotational effects

Facilitates design of advanced interferometer geometries

Abstract

Light-pulse atom interferometers rely on the wave nature of matter and its manipulation with coherent laser pulses. They are used for precise gravimetry and inertial sensing as well as for accurate measurements of fundamental constants. Reaching higher precision requires longer interferometer times which are naturally encountered in microgravity environments such as drop-tower facilities, sounding rockets and dedicated satellite missions aiming at fundamental quantum physics in space. In all those cases, it is necessary to consider arbitrary trajectories and varying orientations of the interferometer set-up in non-inertial frames of reference. Here we provide a versatile representation-free description of atom interferometry entirely based on operator algebra to address this general situation. We show how to analytically determine the phase shift as well as the visibility of interferometers with an arbitrary number of pulses including the effects of local gravitational accelerations, gravity gradients, the rotation of the lasers and non-inertial frames of reference. Our method conveniently unifies previous results and facilitates the investigation of novel interferometer geometries.