TY - JOUR
T1 - Optimal State Estimation for Cavity Optomechanical Systems
AU - Wieczorek, Witlef
AU - Hofer, Sebastian G.
AU - Hoelscher-Obermaier, Jason
AU - Riedinger, Ralf
AU - Hammerer, Klemens
AU - Aspelmeyer, Markus
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/6/4
Y1 - 2015/6/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84935880028&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.114.223601
DO - 10.1103/PhysRevLett.114.223601
M3 - Article
AN - SCOPUS:84935880028
SN - 0031-9007
VL - 114
JO - Physical Review Letters
JF - Physical Review Letters
IS - 22
M1 - 223601
ER -