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Journal Article

Optimal state estimation for cavity optomechanical systems

MPS-Authors

Hofer,  Sebastian G.
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

Hoelscher-Obermaier,  Jason
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Hammerer,  Klemens
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1505.01060.pdf
(Preprint), 4MB

PhysRevLett.114_223601.pdf
(Any fulltext), 914KB

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Citation

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.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0027-A00F-1
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.