Image Theory for the Single Bounce Quantum Gravimeter

TL;DR

This paper introduces an image theory for a single-bounce quantum gravimeter, providing a clearer understanding of quantum interferences and new tools to optimize measurement accuracy.

Contribution

It develops a novel image theory framework for quantum gravimeters, enhancing interpretation and parameter exploration for improved precision.

Findings

Clarifies the origin of quantum interferences in the system

Provides new tools for parameter space exploration

Discusses potential accuracy improvements in free-fall acceleration measurement

Abstract

We develop an image theory for the recently proposed single-bounce quantum gravimeter. Free fall and quantum bounce of a matter wave-packet are described through decompositions over a basis of continuous energies. This leads to a much clearer interpretation of the origin of quantum interferences, associated to semi-classical estimations. We then give new tools to explore the space of parameters, and discuss the expected accuracy of the free-fall acceleration measurement.