Robust double Bragg diffraction via detuning control

• URL: http://arxiv.org/abs/2407.04754v1
• Date: Fri, 5 Jul 2024 09:21:31 GMT
• Title: Robust double Bragg diffraction via detuning control
• Authors: Rui Li, V. J. Martínez-Lahuerta, S. Seckmeyer, Klemens Hammerer, Naceur Gaaloul,
• Abstract summary: We present a new theoretical model and numerical optimization of double Bragg diffraction (DBD) We derive an effective two-level-system Hamiltonian based on the Magnus expansion in the so-called "quasi-Bragg regime" We develop an artificial intelligence-aided optimal detuning control protocol, showcasing enhanced robustness against both polarization errors and Doppler effects.
• Score: 1.6198798154032146
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a new theoretical model and numerical optimization of double Bragg diffraction (DBD), a widely used technique in atom interferometry. We derive an effective two-level-system Hamiltonian based on the Magnus expansion in the so-called "quasi-Bragg regime", where most Bragg-pulse atom interferometers operate. Furthermore, we extend the theory to a five-level description to account for Doppler detuning. Using these derived effective Hamiltonians, we investigate the impacts of AC-Stark shift and polarization errors on the double Bragg beam-splitter, along with their mitigations through detuning control. Notably, we design a linear detuning sweep that demonstrates robust efficiency exceeding 99.5% against polarization errors up to 8.5%. Moreover, we develop an artificial intelligence-aided optimal detuning control protocol, showcasing enhanced robustness against both polarization errors and Doppler effects. This protocol achieves an average efficiency of 99.92% for samples with a finite momentum width of 0.05$\hbar k_L$ within an extended polarization error range of up to 10%.

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