Impact of Force Noise on the Visibility of STA-Based Atom Interferometers
Sofía Martínez-Garaot, I. Lizuain, A. Rodriguez-Prieto, J. G. Muga
Published: 2025/9/11
Abstract
In a previous work, we designed a compact atom interferometer to measure homogeneous constant forces guiding the arms via shortcuts to adiabatic paths. Within this scheme we drive the atom by moving spin-dependent traps, and design a force $f(t)$ to compensate inertial terms in the moving frame. In this paper we analyze how robust our interferometer is against some realistic noisy deviation from the unperturbed value of the force $f(t)$. The complex overlap of the atom wave functions for each arm of the interferometer at the final time of the process is calculated. We demonstrate that the measure of the unknown force will not be affected, as there will be no contribution of the error in the phase difference of the overlap. Nevertheless, the visibility will be reduced as the modulus will no longer be one. In addition we find the optimal trajectories minimizing the effect of the noise in the visibility while keeping the sensitivity of the interferometer.