Optomechanical parameter estimation

Ang, Shan Zheng, Harris, Glen I., Bowen, Warwick P. and Tsang, Mankei (2013) Optomechanical parameter estimation. New Journal of Physics, 15 . doi:10.1088/1367-2630/15/10/103028


Author Ang, Shan Zheng
Harris, Glen I.
Bowen, Warwick P.
Tsang, Mankei
Title Optomechanical parameter estimation
Journal name New Journal of Physics   Check publisher's open access policy
ISSN 1367-2630
Publication date 2013-10-28
Year available 2013
Sub-type Article (original research)
DOI 10.1088/1367-2630/15/10/103028
Open Access Status DOI
Volume 15
Total pages 17
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Language eng
Abstract We propose a statistical framework for the problem of parameter estimation from a noisy optomechanical system. The Cramér–Rao lower bound on the estimation errors in the long-time limit is derived and compared with the errors of radiometer and expectation–maximization (EM) algorithms in the estimation of the force noise power. When applied to experimental data, the EM estimator is found to have the lowest error and follow the Cramér–Rao bound most closely. Our analytic results are envisioned to be valuable to optomechanical experiment design, while the EM algorithm, with its ability to estimate most of the system parameters, is envisioned to be useful for optomechanical sensing, atomic magnetometry and fundamental tests of quantum mechanics.
Keyword Resonance force microscopy
Quantum
Transducer
Noise
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article # 103028

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
 
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