Abstract
In this work we study the thermal noise of two monolithically suspended mirrors in a tabletop high-finesse optical cavity. We show that, given suitable seismic filters, such a cavity can be designed to be sensitive to quantum radiation pressure fluctuations in the audio band of gravitational wave interferometric detectors below 1 kHz. Indeed, the thermal noise of the suspensions and of the coatings constitutes the main limit to the observation of quantum radiation pressure fluctuations. This limit can be overcome with an adequate choice of mirror suspension and coating parameters. Finally, we propose to combine two optical cavities, like those modeled in this work, to obtain a tabletop quantum radiation pressure-limited interferometer.
Graphical abstract
Article PDF
Similar content being viewed by others
References
F. Acernese, et al., Class. Quantum Grav. 32, 024001 (2015)
F. Acernese, et al., Phys. Rev. Lett. 125, 131101 (2020)
H. Yu, et al., submitted to Nature (2020)
T. Corbitt, N. Mavalvala, J. Opt. B 6, S675 (2004)
V.B. Braginsky, F.Y. Khalili, Rev. Mod. Phys. 68, 1 (1996)
B.S. Sheard, M.B. Gray, M. Mow-Lowry, D.E. McClelland, S.E. Whitcomb, Phys. Rev. A 69, 051801 (2004)
T. Corbitt, et al., Phys. Rev. A 73, 023801 (2006)
T.P. Purdy, P.L. Yu, R.W. Peterson, N.S. Kampel, C.A. Regal, Phys. Rev. X 3, 031012 (2013)
N. Aggarwal, N. Mavalvala, T. Corbitt, et al., Nature 568, 364 (2019)
T. Accadia, et al., J. Low Freq. Noise V. A. 63, 30 (2011)
S. Braccini, et al., Astropart. Phys. 23, 557 (2005)
P. Amico, et al., Class. Quantum Grav. 19, 1669 (2002)
D. Aisa, et al., Nucl. Instrum. Methods A 824, 644 (2016)
A.V. Cumming, et al., Class. Quantum Grav. 29, 035003 (2012)
G. Cagnoli, et al., Phys. Lett. A 272, 39 (2000)
R. Kubo, Rep. Prog. Phys. 1 (Part I) 29, 255 (1966)
M. Lorenzini, et al., Class. Quantum Grav. 27, 084021 (2010)
A.M. Gretarsson, G.M. Harry, Rev. Sci. Instrum. 70, 10 (1999)
A.M. Gretarsson, et al., Rev. Sci. Instrum. 77, 023906 (2006)
A.M. Gretarsson, et al., Phys. Lett. A 270, 108 (2000)
S. Di Pace, Ph.D. Thesis, 2014, https://tel.archives-ouvertes.fr/tel-01170076/file/2014NICE4108.pdf
A. Heptonstall, et al., Class. Quantum Grav. 31, 105006 (2014)
F. Travasso, et al., J. Phys.: Conf. Ser. 957, 012012 (2018)
D.H. Gwo, 2001 US Patent No US 6 284 085 B1, 2001
D.H. Gwo, 2003 US Patent No US 6 548 176 B1, 2003
E. Majorana, Y. Ogawa, Phys. Lett. A 233, 162 (1997)
R.F. Green, H.B. Callen, Phys. Rev. 83, 1231 (1951)
H.B. Callen, R.F. Green, Phys. Rev. 88, 1387 (1952)
G.I. González, P.R. Saulson, J. Acoust. Soc. Am. 96, 207 (1994)
Y. Levin, Phys. Rev. D 57, 659 (1998)
F. Matichard, et al., Class. Quantum Grav. 32, 185003 (2015)
Y. Ma, et al., Nature 13, 776 (2017)
V. Sequino, et al., in GRASS 2019 Proceeding (2020), https://doi.org/10.5281/zenodo.3554320
S. Di Pac, et al., in GRASS 2019 Proceeding (2020), https://doi.org/10.5281/zenodo.3569196
M. Granata, et al., Class. Quantum Grav. 37, 095004 (2020)
A. Cavalleri, et al., Phys. Lett. A 374, 3365 (2010)
Acknowledgments
Open Access funding provided by Università degli Studi di Roma La Sapienza within the CRUICARE Agreement.
Author information
Authors and Affiliations
Corresponding author
Additional information
Contribution to the Topical Issue “Quantum Technologies for Gravitational Physics” edited by Tanja Mehlstäubler, Yanbei Chen, Guglielmo M. Tino, Hsien-Chi Yeh.
Publisher's Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Di Pace, S., Naticchioni, L., De Laurentis, M. et al. Thermal noise study of a radiation pressure noise limited optical cavity with fused silica mirror suspensions. Eur. Phys. J. D 74, 227 (2020). https://doi.org/10.1140/epjd/e2020-10183-7
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjd/e2020-10183-7