Real-time synchronization feedbacks for single-atom frequency standards: V - and Λ-structure systems

Mazyar Mirrahimi (1) , Alain Sarlette (2) , Pierre Rouchon (2)

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

This paper proposes simple feedback loops, inspired from extremum-seeking, that use the photon emission times of a single quantum system following quantum Monte-Carlo trajectories in order to lock in real time a probe frequency to the system's transition frequency. Two specific settings are addressed: a 3-level system coupling one ground to two excited states (one highly unstable and one metastable) and a 3-level system coupling one excited to two ground states (both metastable). Analytical proofs and simulations show the accurate and robust convergence of probe frequency to system-transition frequency in the two cases.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Mazyar Mirrahimi, Alain Sarlette, Pierre Rouchon. Real-time synchronization feedbacks for single-atom frequency standards: V - and Λ-structure systems. 49th IEEE Conference on Decision and Control - CDC 2010, Dec 2010, Atlanta, United States. pp.5031-5036, ⟨10.1109/CDC.2010.5716962⟩. ⟨hal-00576899⟩