Hannover 2013 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 35: Poster I
Q 35.88: Poster
Dienstag, 19. März 2013, 16:00–18:30, Empore Lichthof
Optomechanical state reconstruction using Kalman filtering — •Jason Hoelscher-Obermaier1, Sebastian G. Hofer1, Witlef Wiezcorek1, Karoline Siquans1, Ralf Riedinger1, Garrett D. Cole1, Klemens Hammerer2, and Markus Aspelmeyer1 — 1Vienna Center for Quantum Science and Technology, Faculty of Physics, University of Vienna, 1090 Vienna, Austria — 2Institute for Theoretical Physics, Institute for Gravitational Physics, Leibniz University Hannover, 30167 Hannover, Germany
Optomechanics uses light to control the state of a vibrational mode of a massive mechanical object. To verify the success of optomechanical protocols, the joint state of mechanical mode and light field needs to be measured. The mechanical mode can be measured only indirectly, however, by measuring the light which has interacted with it.
Kalman filtering allows for the reconstruction of the joint state of the light field and the mechanical mode from measurements on the light field alone. The Kalman filter relies on a system model and a measurement model to provide an optimal estimate of the full state of the system. We illustrate this method for our cavity-optomechanical setup. To this end, we perform homodyne detection on the driving beam after interaction with the mechanical mode, and postprocess the results using the Kalman filter. Since the Kalman filter is based on the full system dynamics (quantum Langevin equations for the interacting optomechanical system together with a model of the detection setup), no further simplifying assumptions (such as weak optomechanical coupling or adiabaticity) enter.