Robust double Bragg diffraction via detuning control

Abstract

We present a theoretical model and numerical optimization of double Bragg diffraction, 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$\hslash k_L$ within an extended polarization error range of up to 10%.

17 pages, 18 figures

References in corpus (9)

• The Magnus expansion and some of its applications
• Measurement of the fine-structure constant as a test of the Standard Model
• Interferometry with Bose-Einstein Condensates in Microgravity
• A New Method for Gravitational Wave Detection with Atomic Sensors
• Atom Interferometry with up to 24-Photon-Momentum-Transfer Beam Splitters
• Matter wave lensing to picokelvin temperatures
• Dual Matter-Wave Inertial Sensors in Weightlessness
• Quantum Tests of the Einstein Equivalence Principle with the STE-QUEST Space Mission
• Enhancing the area of a Raman atom interferometer using a versatile double-diffraction technique

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• Diffraction phase-free Bragg atom interferometry