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Frequency locking of an optical cavity using linear–quadratic Gaussian integral control

S Z Sayed Hassen1, M Heurs1, E H Huntington1, I R Petersen1 and M R James2

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We show that a systematic modern control technique such as linear–quadratic Gaussian (LQG) control can be applied to a problem in experimental quantum optics which has previously been addressed using traditional approaches to controller design. An LQG controller which includes integral action is synthesized to stabilize the frequency of the cavity to the laser frequency and to reject low frequency noise. The controller is successfully implemented in the laboratory using a dSpace digital signal processing board. One important advantage of the LQG technique is that it can be extended in a straightforward way to control systems with multiple measurements and multiple feedback loops. This work is expected to pave the way for extremely stable lasers with fluctuations approaching the quantum noise limit and which could be potentially used in a wide range of applications.


PACS

42.50.Ct Quantum description of interaction of light and matter; related experiments

42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps

Subjects

Optics, quantum optics and lasers

Dates

Issue 17 (14 September 2009)

Received 1 October 2008, in final form 14 July 2009

Published 10 August 2009



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