title: Optimal State Estimation for Cavity Optomechanical Systems.
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.
authors.affiliation: University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), Boltzmanngasse 5, 1090 Vienna, Austria.
authors.forename: Witlef
authors.initials: W
authors.lastname: Wieczorek
authors.affiliation: University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), Boltzmanngasse 5, 1090 Vienna, Austria.|Leibniz University Hannover, Institute for Theoretical Physics, Institute for Gravitational Physics (Albert Einstein Institute), Callinstraße 38, 30167 Hannover, Germany.
authors.forename: Sebastian G
authors.initials: SG
authors.lastname: Hofer
authors.affiliation: University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), Boltzmanngasse 5, 1090 Vienna, Austria.|Leibniz University Hannover, Institut für Gravitationsphysik, Institute for Gravitational Physics (Albert-Einstein-Institute), Callinstraße 38, 30167 Hannover, Germany.
authors.forename: Jason
authors.initials: J
authors.lastname: Hoelscher-Obermaier
authors.affiliation: University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), Boltzmanngasse 5, 1090 Vienna, Austria.
authors.forename: Ralf
authors.initials: R
authors.lastname: Riedinger
authors.affiliation: Leibniz University Hannover, Institute for Theoretical Physics, Institute for Gravitational Physics (Albert Einstein Institute), Callinstraße 38, 30167 Hannover, Germany.
authors.forename: Klemens
authors.initials: K
authors.lastname: Hammerer
authors.affiliation: University of Vienna, Faculty of Physics, Vienna Center for Quantum Science and Technology (VCQ), Boltzmanngasse 5, 1090 Vienna, Austria.
authors.forename: Markus
authors.initials: M
authors.lastname: Aspelmeyer