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  Optimal state estimation for cavity optomechanical systems

Wieczorek, W., Hofer, S. G., Hoelscher-Obermaier, J., Riedinger, R., Hammerer, K., & Aspelmeyer, M. (2015). Optimal state estimation for cavity optomechanical systems. Physical Review Letters, 114: 223601. doi:10.1103/PhysRevLett.114.223601.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A00F-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-A010-C
Genre: Journal Article

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 Creators:
Wieczorek, Witlef, Author
Hofer, Sebastian G.1, Author
Hoelscher-Obermaier, Jason1, Author
Riedinger, Ralf, Author
Hammerer, Klemens1, Author              
Aspelmeyer, Markus, Author
Affiliations:
1Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24010              

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Free keywords: Quantum Physics, quant-ph
 Abstract: We demonstrate optimal state estimation for a cavity optomechanical system through Kalman filtering. By taking into account nontrivial experimental noise sources, such as colored laser noise and spurious mechanical modes, we implement a realistic state-space model. This allows us to obtain the conditional system state, i.e., conditioned on previous measurements, with minimal least-square estimation error. We apply this method for estimating the mechanical state, as well as optomechanical correlations both in the weak and strong coupling regime. The application of the Kalman filter is an important next step for achieving real-time optimal (classical and quantum) control of cavity optomechanical systems.

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 Dates: 2015-05-052015-06-102015
 Publication Status: Published in print
 Pages: replaced with published version, 5+12 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1505.01060
DOI: 10.1103/PhysRevLett.114.223601
URI: http://arxiv.org/abs/1505.01060
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Title: Physical Review Letters
  Abbreviation : Phys. Rev. Lett.
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. : American Physical Society
Pages: - Volume / Issue: 114 Sequence Number: 223601 Start / End Page: - Identifier: ISSN: 0031-9007
CoNE: https://pure.mpg.de/cone/journals/resource/954925433406_1