Optomechanical parameter estimation
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 estimati...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/10/103028 |
| _version_ | 1797751747856302080 |
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| author | Shan Zheng Ang Glen I Harris Warwick P Bowen Mankei Tsang |
| author_facet | Shan Zheng Ang Glen I Harris Warwick P Bowen Mankei Tsang |
| author_sort | Shan Zheng Ang |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:54:09Z |
| format | Article |
| id | doaj.art-ec30b57751a04b859f1ea234b3eb4794 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:54:09Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-ec30b57751a04b859f1ea234b3eb47942023-08-08T11:04:03ZengIOP PublishingNew Journal of Physics1367-26302013-01-01151010302810.1088/1367-2630/15/10/103028Optomechanical parameter estimationShan Zheng Ang0Glen I Harris1Warwick P Bowen2Mankei Tsang3Department of Electrical and Computer Engineering, National University of Singapore , 4 Engineering Drive 3, Singapore 117583, SingaporeCentre for Engineered Quantum Systems, University of Queensland , St Lucia, QLD 4072, AustraliaCentre for Engineered Quantum Systems, University of Queensland , St Lucia, QLD 4072, AustraliaDepartment of Electrical and Computer Engineering, National University of Singapore , 4 Engineering Drive 3, Singapore 117583, Singapore; Department of Physics, National University of Singapore , 2 Science Drive 3, Singapore 117551, SingaporeWe 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.https://doi.org/10.1088/1367-2630/15/10/103028 |
| spellingShingle | Shan Zheng Ang Glen I Harris Warwick P Bowen Mankei Tsang Optomechanical parameter estimation New Journal of Physics |
| title | Optomechanical parameter estimation |
| title_full | Optomechanical parameter estimation |
| title_fullStr | Optomechanical parameter estimation |
| title_full_unstemmed | Optomechanical parameter estimation |
| title_short | Optomechanical parameter estimation |
| title_sort | optomechanical parameter estimation |
| url | https://doi.org/10.1088/1367-2630/15/10/103028 |
| work_keys_str_mv | AT shanzhengang optomechanicalparameterestimation AT gleniharris optomechanicalparameterestimation AT warwickpbowen optomechanicalparameterestimation AT mankeitsang optomechanicalparameterestimation |