Optimal State Estimation for Cavity Optomechanical Systems

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Authors

  • Witlef Wieczorek
  • Sebastian G. Hofer
  • Jason Hoelscher-Obermaier
  • Ralf Riedinger
  • Klemens Hammerer
  • Markus Aspelmeyer

Research Organisations

External Research Organisations

  • University of Vienna
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Details

Original languageEnglish
Article number223601
JournalPhysical Review Letters
Volume114
Issue number22
Publication statusPublished - 4 Jun 2015

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 a minimal least-squares estimation error. We apply this method to estimate 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.

ASJC Scopus subject areas

Cite this

Optimal State Estimation for Cavity Optomechanical Systems. / Wieczorek, Witlef; Hofer, Sebastian G.; Hoelscher-Obermaier, Jason et al.
In: Physical Review Letters, Vol. 114, No. 22, 223601, 04.06.2015.

Research output: Contribution to journalArticleResearchpeer review

Wieczorek, W, Hofer, SG, Hoelscher-Obermaier, J, Riedinger, R, Hammerer, K & Aspelmeyer, M 2015, 'Optimal State Estimation for Cavity Optomechanical Systems', Physical Review Letters, vol. 114, no. 22, 223601. https://doi.org/10.1103/PhysRevLett.114.223601
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(22), Article 223601. https://doi.org/10.1103/PhysRevLett.114.223601
Wieczorek W, Hofer SG, Hoelscher-Obermaier J, Riedinger R, Hammerer K, Aspelmeyer M. Optimal State Estimation for Cavity Optomechanical Systems. Physical Review Letters. 2015 Jun 4;114(22):223601. doi: 10.1103/PhysRevLett.114.223601
Wieczorek, Witlef ; Hofer, Sebastian G. ; Hoelscher-Obermaier, Jason et al. / Optimal State Estimation for Cavity Optomechanical Systems. In: Physical Review Letters. 2015 ; Vol. 114, No. 22.
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