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Real-time synchronization feedbacks for single-atom frequency standards

Abstract : Simple feedback loops, inspired from extremum-seeking, are proposed to lock a probe-frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed, a 2-level one and a 3-level one that appears in coherence population trapping and optical pumping. For both systems, the feedback algorithm is shown to be convergent in the following sense: the probe frequency converges in average towards the system-transition one and its standard deviation can be made arbitrarily small. Closed-loop simulations illustrate robustness versus jump-detection efficiency and modeling errors.
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Submitted on : Thursday, April 22, 2010 - 10:57:14 PM
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Mazyar Mirrahimi, Pierre Rouchon. Real-time synchronization feedbacks for single-atom frequency standards. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2009, 48 (4), pp.2820-2839. ⟨10.1137/080726355⟩. ⟨hal-00447785⟩

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