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Robust Optimized Pulse Schemes for Atomic Fountain Interferometry

Michael H. GoerzVladimir S. Malinovsky
Dec 2022
摘要
The robustness of an atomic fountain interferometer with respect tovariations in the initial velocity of the atoms and deviations from the optimalpulse amplitude is examined. We numerically simulate the dynamics of aninterferometer in momentum space with a maximum separation of $20 \hbar k$ andmap out the expected signal contrast depending on the variance of the initialvelocity distribution and the value of the laser field amplitude. We show thatan excitation scheme based on rapid adiabatic passage significantly enhancesthe expected signal contrast compared to the commonly used scheme consisting ofa series of Rabi pulses. We demonstrate further substantial increase of therobustness by using optimal control theory to identify splitting and swappingpulses that perform well on an ensemble average of pulse amplitudes andvelocities. Our results demonstrate the ability of optimal control tosignificantly enhance future implementations of atomic fountain interferometry.
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