# Active Suppression of Differential Light Shift Drift in an Atom Gravimeter

## TL;DR

This paper presents methods to reduce measurement errors in atom gravimeters caused by laser sideband drift.

## Contribution

A Dual-Sideband Ratio Locking scheme is introduced to suppress gravity drift in atom interferometers.

## Key findings

- Gravity drifts of 13.13 μGal were observed and linked to Raman laser sidebands.
- A compensation method reduced drift to 2.54 μGal.
- The Dual-Sideband Ratio Locking achieved a gravity error below 0.1 μGal.

## Abstract

Differential light shift (DLS) is an important error term that limits the atom interferometer’s measurement precision, especially for the case of the electro-optic modulator (EOM)-based scheme, where multiple laser sidebands exist, and their ratios are hard to control synchronously. This article carried out an experimental and theoretical study on this subject. By conducting long-term gravity measurement, we find that the gravity exhibits drifts of about 13.13 μGal, and is strongly correlated to the Raman laser’s sidebands. A model of the DLS-induced gravity error is established and a DLS compensation method is proposed to suppress the gravity drift to 2.54 μGal. Besides the compensation method, we propose a Dual-Sideband Ratio Locking scheme to more robustly eliminate the gravity measurement drift. By feeding back to both the EOM microwave power and the tapered amplifier’s temperature, this method locks both the ±1 order sideband to a stability level of 10−5, which corresponds to a gravity error of less than 0.1 μGal. Long-term gravity measurement is carried out after the locking method, showing a long-term stability of 1.6 μGal. The proposed methods will benefit the suppression of the DLS effect for high-precision atom interference measurement.