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 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.

replaced with published version, 5+12 pages

References in corpus (14)

• Cavity Opto-Mechanics with a Bose-Einstein Condensate
• Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
• State Transfer Between a Mechanical Oscillator and Microwave Fields in the Quantum Regime
• Observation of Radiation Pressure Shot Noise on a Macroscopic Object
• Quantum-enhanced optical phase tracking
• Quantum Kalman Filtering and the Heisenberg Limit in Atomic Magnetometry
• Time-Symmetric Quantum Theory of Smoothing
• Entanglement of macroscopic test masses and the Standard Quantum Limit in laser interferometry
• Laser noise in cavity-optomechanical cooling and thermometry
• Entanglement-enhanced time-continuous quantum control in optomechanics
• Quantum theory of optical temporal phase and instantaneous frequency. II. Continuous time limit and state-variable approach to phase-locked loop design
• Quantum state preparation and macroscopic entanglement in gravitational-wave detectors
• Quantum theory of optical temporal phase and instantaneous frequency
• Creation of a quantum oscillator by classical control