A simple feedback-loop for a frequency lock on a narrow atomic transition
Authors: S. Bonnabel, G. Dubois, P. Rouchon, 2008 IFAC World Congress, Seoul, Korea, pp. 6257-6262
In this paper we consider an atomic system with a narrow transition probed with a user- controlled electromagnetic radiation, the basis of atomic clocks. We propose a simple feedback-loop in order to lock automatically the probe frequency on the atomic transition, allowing continuous clock operation without any preparation steps. The proof of the convergence of the feedback-loop is based on averaging arguments, with approximations compatible with realistic physical parameters. Numerical simulations illustrate the robustness of the proposed feedback-loop versus measurement noise and bias.
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BibTeX:
@Proceedings{,
author = {S. Bonnabel, G. Dubois, P. Rouchon},
editor = {},
title = {A simple feedback-loop for a frequency lock on a narrow atomic transition},
booktitle = {2008 IFAC World Congress},
volume = {},
publisher = {},
address = {Seoul},
pages = {6257-6262},
year = {2008},
abstract = {In this paper we consider an atomic system with a narrow transition probed with a user- controlled electromagnetic radiation, the basis of atomic clocks. We propose a simple feedback-loop in order to lock automatically the probe frequency on the atomic transition, allowing continuous clock operation without any preparation steps. The proof of the convergence of the feedback-loop is based on averaging arguments, with approximations compatible with realistic physical parameters. Numerical simulations illustrate the robustness of the proposed feedback-loop versus measurement noise and bias.},
keywords = {Quantum systems, nonlinear stabilization, dynamic output-feedback, averaging, nonlinear oscillators, synchronization, atomic clock}}
In this paper we consider an atomic system with a narrow transition probed with a user- controlled electromagnetic radiation, the basis of atomic clocks. We propose a simple feedback-loop in order to lock automatically the probe frequency on the atomic transition, allowing continuous clock operation without any preparation steps. The proof of the convergence of the feedback-loop is based on averaging arguments, with approximations compatible with realistic physical parameters. Numerical simulations illustrate the robustness of the proposed feedback-loop versus measurement noise and bias.
Download PDF
BibTeX:
@Proceedings{,
author = {S. Bonnabel, G. Dubois, P. Rouchon},
editor = {},
title = {A simple feedback-loop for a frequency lock on a narrow atomic transition},
booktitle = {2008 IFAC World Congress},
volume = {},
publisher = {},
address = {Seoul},
pages = {6257-6262},
year = {2008},
abstract = {In this paper we consider an atomic system with a narrow transition probed with a user- controlled electromagnetic radiation, the basis of atomic clocks. We propose a simple feedback-loop in order to lock automatically the probe frequency on the atomic transition, allowing continuous clock operation without any preparation steps. The proof of the convergence of the feedback-loop is based on averaging arguments, with approximations compatible with realistic physical parameters. Numerical simulations illustrate the robustness of the proposed feedback-loop versus measurement noise and bias.},
keywords = {Quantum systems, nonlinear stabilization, dynamic output-feedback, averaging, nonlinear oscillators, synchronization, atomic clock}}