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

Authors: M. Mirrahimi, A. Sarlette, P. Rouchon, 49th IEEE Conference on Decision and Control, pp. 5031-5036, 15-17 Dec. 2010, Atlanta, USA DOI: 10.1109/CDC.2010.5716962
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.
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BibTeX:
@Proceedings{,
author = {M. Mirrahimi, A. Sarlette, P. Rouchon},
editor = {},
title = {Real-time synchronization feedbacks for single-atom frequency standards: V - and Λ-structure systems},
booktitle = {49th IEEE Conference on Decision and Control},
volume = {},
publisher = {},
address = {Atlanta},
pages = {5031-5036},
year = {2010},
abstract = {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.},
keywords = {}}