Gravitational wave signal and noise response of an optically levitated sensor in a Fabry-Pérot cavity

Fuente: arXiv
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Autori principali: Laeuger, Andrew, Elahi, Shafaq Gulzar, Klomp, Shelby, Larsen, Jackson, Sprague, Jacob, Wang, Zhiyuan, Winstone, George, Wroblewski, Maddox, Larson, Shane L., Geraci, Andrew A., Aggarwal, Nancy
Natura: Preprint
Pubblicazione: 2026
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author Laeuger, Andrew
Elahi, Shafaq Gulzar
Klomp, Shelby
Larsen, Jackson
Sprague, Jacob
Wang, Zhiyuan
Winstone, George
Wroblewski, Maddox
Larson, Shane L.
Geraci, Andrew A.
Aggarwal, Nancy
author_facet Laeuger, Andrew
Elahi, Shafaq Gulzar
Klomp, Shelby
Larsen, Jackson
Sprague, Jacob
Wang, Zhiyuan
Winstone, George
Wroblewski, Maddox
Larson, Shane L.
Geraci, Andrew A.
Aggarwal, Nancy
contents Optically levitated sensors inside a Fabry-Pérot cavity have been proposed for high-frequency gravitational-wave (GW) detection, though their configuration for gravitational wave sensitivity exhibits counterintuitive features. We provide a new detailed general relativistic derivation of the interaction between a gravitational wave and a levitated object in an optical cavity, demonstrating gauge independence of the observable response. We find a strong asymmetric dependence of the strain signal on trap position, maximized when the sensor is located near the input mirror, in agreement with previous results. A key new result of this work is the consequence of this asymmetry on the noise coupling: the coupling of input-mirror displacements to the strain signal can be highly suppressed relative to that of end-mirror displacements and common-mode mirror motion. These results clarify the physical origin of the gravitational wave interaction with such a sensor and establish crucial design principles for optical levitation based high-frequency GW detectors.
format Preprint
id arxiv_https___arxiv_org_abs_2604_07302
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Gravitational wave signal and noise response of an optically levitated sensor in a Fabry-Pérot cavity
Laeuger, Andrew
Elahi, Shafaq Gulzar
Klomp, Shelby
Larsen, Jackson
Sprague, Jacob
Wang, Zhiyuan
Winstone, George
Wroblewski, Maddox
Larson, Shane L.
Geraci, Andrew A.
Aggarwal, Nancy
General Relativity and Quantum Cosmology
Instrumentation and Methods for Astrophysics
Optically levitated sensors inside a Fabry-Pérot cavity have been proposed for high-frequency gravitational-wave (GW) detection, though their configuration for gravitational wave sensitivity exhibits counterintuitive features. We provide a new detailed general relativistic derivation of the interaction between a gravitational wave and a levitated object in an optical cavity, demonstrating gauge independence of the observable response. We find a strong asymmetric dependence of the strain signal on trap position, maximized when the sensor is located near the input mirror, in agreement with previous results. A key new result of this work is the consequence of this asymmetry on the noise coupling: the coupling of input-mirror displacements to the strain signal can be highly suppressed relative to that of end-mirror displacements and common-mode mirror motion. These results clarify the physical origin of the gravitational wave interaction with such a sensor and establish crucial design principles for optical levitation based high-frequency GW detectors.
title Gravitational wave signal and noise response of an optically levitated sensor in a Fabry-Pérot cavity
topic General Relativity and Quantum Cosmology
Instrumentation and Methods for Astrophysics
url https://arxiv.org/abs/2604.07302