Extracting the differential phase in dual atom interferometers by modulating magnetic fields

TL;DR

This paper introduces a novel method for measuring differential phase in dual atom interferometers by modulating magnetic fields and combining ellipse and linear fitting techniques, significantly reducing systematic errors.

Contribution

The proposed scheme enables accurate differential phase extraction without magnetic field amplitude measurement, improving precision in gravity gradient measurements.

Findings

Systematic error is reduced with symmetric magnetic field modulation.

The combined fitting method achieves high accuracy in phase measurement.

Numerical simulations validate the effectiveness of the approach.

Abstract

We present a new scheme for measuring the differential phase in dual atom interferometers. The magnetic field is modulated in one interferometer, and the differential phase can be extracted without measuring the amplitude of the magnetic field by combining the ellipse and linear fitting methods. The gravity gradient measurements are discussed based on dual atom interferometers. Numerical simulation shows that the systematic error of the differential phase measurement is largely decreased when the duration of the magnetic field is symmetrically modulated. This combined fitting scheme has a high accuracy for measuring an arbitrary differential phase in dual atom interferometers.