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

Mirrahimi, Mazyar; Sarlette, Alain; Rouchon, Pierre

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

Mirrahimi, Mazyar; Sarlette, Alain; Rouchon, Pierre

2010 • In Proceedings of the 49th IEEE Conference on Decision and Control

Peer reviewed

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https://hdl.handle.net/2268/80083

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Keywords :

quantum control; stochastic feedback; real-time estimation

Abstract :

[en] 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.

Research Center/Unit :

Systems and Modeling

Disciplines :

Electrical & electronics engineering
Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Mirrahimi, Mazyar; INRIA > Rocquencourt > SISYPHE

Sarlette, Alain ; Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Systèmes et modélisation

Rouchon, Pierre; Mines ParisTech > Centre Automatique et Systèmes > Professor

Language :

English

Title :

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

Publication date :

December 2010

Event name :

49th IEEE Conference on Decision and Control

Event organizer :

IEEE

Event place :

Atlanta, United States - Georgia

Event date :

from 15-12-2010 to 17-12-2010

Audience :

International

Main work title :

Proceedings of the 49th IEEE Conference on Decision and Control

Publisher :

IEEE, Atlanta, United States - Georgia

Pages :

5031-5036

Peer reviewed :

Peer reviewed

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique
Pole d'attraction interuniversitaire DYSCO
ANR - Agence Nationale de la Recherche

Available on ORBi :

since 22 December 2010

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Scopus citations^®
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Bibliography

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M. Mirrahimi and P. Rouchon. Real-time synchronization feedbacks for single-atom frequency standards. SIAM J. Control Optim., 48(4):2820-2839, 2009.
M. Mirrahimi and P. Rouchon. Singular perturbations and Lindblad-Kossakowski differential equations. IEEE Trans. Automatic Control, 54(6):1325-1329, 2009.
W.H. Oskay, S.A. Diddams, E.A. Donley, T.M. Fortier, T.P. Heavner, L. Hollberg, W.M. Itano, S. R. Jefferts, M.J. Delaney, K. Kim, F. Levi, T.E. Parker, and J.C. Bergquist. Single-atom optical clock with high accuracy. Phys. Rev. Lett., 97(2):020801.1-020801.4, 2006.
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