Diffraction phase-free Bragg atom interferometry
V\'ictor J. Mart\'inez-Lahuerta (1), Jan-Niclas Kirsten-Siem{\ss}(1), Klemens Hammerer (2,3,4), and Naceur Gaaloul (1) ((1) Leibniz University Hannover, Institute of Quantum Optics, Hannover, Germany, (2) Leibniz University Hannover, Institute for Theoretical Physics, Hannover

TL;DR
This paper applies optimal control theory to minimize diffraction phase shifts in high-order Bragg atom interferometers, significantly reducing systematic errors and improving measurement accuracy.
Contribution
It introduces a novel OCT-based method to control diffraction phases, enhancing the precision of atom interferometers under realistic experimental conditions.
Findings
Minimized diffraction phase below microradian level for 1% photon recoil
Mitigated systematic diffraction phase effects in high-order Bragg interferometers
Applicable to realistic finite-temperature wavepackets in Mach-Zehnder configurations
Abstract
Bragg Diffraction of matter waves is an established technique used in the most accurate quantum sensors. It is also the method of choice to operate large-momentum-transfer, high-sensitivity atom interferometers. It suffers, however, from an intrinsic multi-path character. Optimal control theory (OCT) has recently led to an improved robustness of atom interferometers to a range of challenging environmental effects such as vibrations or platform accelerations. In this theoretical work, we apply OCT protocols to control the Bragg diffraction phase shifts thereby enhancing the metrological accuracy of the interferometer. We show a minimization of the diffraction phase for realistic conditions of finite temperature of the incoming wavepacket in a multi-path, high-order Bragg interferometer in a Mach-Zehnder configuration. We study input states with different momentum widths and find that our…
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