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Published June 15, 2003 | Published
Journal Article Open

Quantum noise in laser-interferometer gravitational-wave detectors with a heterodyne readout scheme

Abstract

We analyze and discuss the quantum noise in signal-recycled laser interferometer gravitational-wave detectors, such as Advanced LIGO, using a heterodyne readout scheme and taking into account the optomechanical dynamics. Contrary to homodyne detection, a heterodyne readout scheme can simultaneously measure more than one quadrature of the output field, providing an additional way of optimizing the interferometer sensitivity, but at the price of additional noise. Our analysis provides the framework needed to evaluate whether a homodyne or heterodyne readout scheme is more optimal for second generation interferometers from an astrophysical point of view. As a more theoretical outcome of our analysis, we show that as a consequence of the Heisenberg uncertainty principle the heterodyne scheme cannot convert conventional interferometers into (broadband) quantum non-demolition interferometers.

Additional Information

© 2003 The American Physical Society. Received 11 February 2003. Published 20 June 2003. We thank Peter Fritschel, James Mason and Ken Strain for stimulating discussions, and Kip Thorne for his continuous encouragement and for very useful interactions. We also thank Peter Fritschel and Ken Strain for drawing our attention to the advantages of variable quadrature detection in heterodyne schemes. We acknowledge support from National Science Foundation grants PHY-0099568 (A.B. and Y.C.) and PHY-0107417 (N.M.). The research of A.B. was also supported by Caltech's Richard Chace Tolman Fund. The research of Y.C. was also supported by the David and Barbara Groce Fund at the San Diego Foundation. Part of Y.C.'s contribution to this work was made while visiting the GW research group at the Australian National University. The author is grateful for their support.

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August 19, 2023
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