Real-time synchronization feedbacks for single-atom frequency standards
Mathematical Physics
2009-09-09 v2 math.MP
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.
Cite
@article{arxiv.0806.1392,
title = {Real-time synchronization feedbacks for single-atom frequency standards},
author = {Mazyar Mirrahimi and Pierre Rouchon},
journal= {arXiv preprint arXiv:0806.1392},
year = {2009}
}
Comments
20 pages, 4 figures