Real-time synchronization feedbacks for single-atom frequency standards

Mazyar Mirrahimi (1) , Pierre Rouchon (2)

1 SISYPHE - SIgnals and SYstems in PHysiology & Engineering
2 CAS - Centre Automatique et Systèmes

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.

Mots clés: quantum Monte-Carlo trajectories; extremum seeking; feedback; synchronization; quantum systems

Domaines: Automatique / Robotique

Mazyar Mirrahimi, Pierre Rouchon. Real-time synchronization feedbacks for single-atom frequency standards. SIAM Journal on Control and Optimization, 2009, 48 (4), pp.2820-2839. ⟨10.1137/080726355⟩. ⟨hal-00447785⟩