Continuous observations in quantum mechanics: An application to gravitational-wave detectors

Physics

Scientific paper

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Scientific paper

A two-stage measuring apparatus (detector and meter) for detecting gravitational waves is analyzed using a recently developed formalism for continuous observations in quantum mechanics. Detector and meter are modeled as quantum-mechanical dissipative linear systems; a large class of couplings between them is considered, so obtaining a unified treatment of various models which have appeared in the literature. In the simplest cases, explicit expressions for uncertainties in the estimate of the gravitational force are obtained. In the general case it is shown how the problem of the estimation of the force can be treated and general results are given.

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