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Fundamental relations between measurement, radiation, and decoherence in gravitational wave laser interferometer detectors

Pang, Belinda and Chen, Yanbei (2019) Fundamental relations between measurement, radiation, and decoherence in gravitational wave laser interferometer detectors. Physical Review D, 99 (12). Art. No. 124016. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20190611-091959047

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Abstract

As laser interferometer gravitational wave (GW) detectors become quantum noise dominated, understanding the fundamental limit on measurement sensitivity imposed by quantum uncertainty is crucial to guide the search for further noise reduction. Recent efforts have included applying ideas from quantum information theory to GW detection—specifically the quantum Cramer-Rao bound, which is a minimum bound on error in parameter estimation using a quantum state and is determined by the state’s quantum Fisher information (QFI) with respect to the parameter [Helstrom, J. Stat. Phys. 1, 231 (1969)]. Identifying the QFI requires knowing the interaction between the quantum probe and the signal, which was rigorously derived for GW interferometer detectors in Pang and Chen [Phys. Rev. D 98, 124006 (2018)]. In this paper, we calculate the QFI and fundamental quantum limit (FQL) for GW detection, and furthermore we derive explicit reciprocity relations involving the QFI that summarize information exchange between the detector and a surrounding weak quantum GW field. Specifically, we show that the GW power radiation by the detector’s quantum fluctuations are proportional to the QFI, and therefore are inversely proportional to its FQL. Similarly, the detector’s decoherence rate in a white noise GW bath can be explicitly related to the QFI/FQL. These relations are fundamental and appear generalizable to a broader class of quantum measurement systems.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevD.99.124016DOIArticle
https://arxiv.org/abs/1903.09378arXivDiscussion Paper
ORCID:
AuthorORCID
Pang, Belinda0000-0002-5697-2162
Chen, Yanbei0000-0002-9730-9463
Additional Information:© 2019 American Physical Society. Received 22 March 2019; published 11 June 2019. We thank Bassam Helou, Yiqiu Ma, Haixing Miao, Rana Adhikari, and Yuri Levin for discussions. Our research is supported by the Simons Foundation (Grant No. 568762) and the National Science Foundation, through Grants No. PHY-1708212 and No. PHY-1708213.
Group:TAPIR, Walter Burke Institute for Theoretical Physics, Astronomy Department
Funders:
Funding AgencyGrant Number
Simons Foundation568762
NSFPHY-1708212
NSFPHY-1708213
Issue or Number:12
Record Number:CaltechAUTHORS:20190611-091959047
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190611-091959047
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96269
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Jun 2019 16:44
Last Modified:09 Mar 2020 13:18

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