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We derive some of the central equations governing quantum fluctuations in gravitational waves, making use of general relativity as a sensible effective quantum theory at large distances. We begin with a review of classical gravitational…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Mark P. Hertzberg , Jacob A. Litterer

Gravitational wave (GW) observations probe both a diffuse, stochastic gravitational wave background (SGWB) as well as individual cataclysmic events such as the merger of two compact objects. The detection and description of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Eleanor Gleave , Andrew Jaffe

The quantum noise in gravitational-wave detectors can be suppressed in a broadband by frequency-dependent squeezing. It usually requires one large scale filter cavity and even two, for example in the low frequency detector of Einstein…

Quantum Physics · Physics 2024-04-24 Xingrui Peng , Denis Martynov , Zonghong Zhu , Teng Zhang

A common technique for detection of gravitational-wave signals is searching for excess power in frequency-time maps of gravitational-wave detector data. In the event of a detection, model selection and parameter estimation will be performed…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Michael Coughlin , Nelson Christensen , Jonathan Gair , Shivaraj Kandhasamy , Eric Thrane

Quantum fluctuations in the phase and amplitude quadratures of light set limitations on the sensitivity of modern optical instruments. The sensitivity of the interferometric gravitational wave detectors, such as the Advanced Laser…

Optics · Physics 2017-04-26 D. V. Martynov , V. V. Frolov , S. Kandhasamy , K. Izumi , H. Miao , N. Mavalvala , E. D. Hall , R. Lanza , B. P. Abbott , R. Abbott , T. D. Abbott , C. Adams , R. X. Adhikari , S. B. Anderson , A. Ananyeva , S. Appert , K. Arai , S. M. Aston , S. W. Ballmer , D. Barker , B. Barr , L. Barsotti , J. Bartlett , I. Bartos , J. C. Batch , A. S. Bell , J. Betzwieser , G. Billingsley , J. Birch , S. Biscans , C. Biwer , C. D. Blair , R. Bork , A. F. Brooks , G. Ciani , F. Clara , S. T. Countryman , M. J. Cowart , D. C. Coyne , A. Cumming , L. Cunningham , K. Danzmann , C. F. Da Silva Costa , E. J. Daw , D. DeBra , R. T. DeRosa , R. DeSalvo , K. L. Dooley , S. Doravari , J. C. Driggers , S. E. Dwyer , A. Effler , T. Etzel , M. Evans , T. M. Evans , M. Factourovich , H. Fair , A. Fernández Galiana , R. P. Fisher , P. Fritschel , P. Fulda , M. Fyffe , J. A. Giaime , K. D. Giardina , E. Goetz , R. Goetz , S. Gras , C. Gray , H. Grote , K. E. Gushwa , E. K. Gustafson , R. Gustafson , G. Hammond , J. Hanks , J. Hanson , T. Hardwick , G. M. Harry , M. C. Heintze , A. W. Heptonstall , J. Hough , R. Jones , S. Karki , M. Kasprzack , S. Kaufer , K. Kawabe , N. Kijbunchoo , E. J. King , P. J. King , J. S. Kissel , W. Z. Korth , G. Kuehn , M. Landry , B. Lantz , N. A. Lockerbie , M. Lormand , A. P. Lundgren , M. MacInnis , D. M. Macleod , S. Márka , Z. Márka , A. S. Markosyan , E. Maros , I. W. Martin , K. Mason , T. J. Massinger , F. Matichard , R. McCarthy , D. E. McClelland , S. McCormick , G. McIntyre , J. McIver , G. Mendell , E. L. Merilh , P. M. Meyers , J. Miller , R. Mittleman , G. Moreno , G. Mueller , A. Mullavey , J. Munch , L. K. Nuttall , J. Oberling , P. Oppermann , Richard J. Oram , B. O'Reilly , D. J. Ottaway , H. Overmier , J. R. Palamos , H. R. Paris , W. Parker , A. Pele , S. Penn , M. Phelps , V. Pierro , I. Pinto , M. Principe , L. G. Prokhorov , O. Puncken , V. Quetschke , E. A. Quintero , F. J. Raab , H. Radkins , P. Raffai , S. Reid , D. H. Reitze , N. A. Robertson , J. G. Rollins , V. J. Roma , J. H. Romie , S. Rowan , K. Ryan , T. Sadecki , E. J. Sanchez , V. Sandberg , R. L. Savage , R. M. S. Schofield , D. Sellers , D. A. Shaddock , T. J. Shaffer , B. Shapiro , P. Shawhan , D. H. Shoemaker , D. Sigg , B. J. J. Slagmolen , B. Smith , J. R. Smith , B. Sorazu , A. Staley , K. A. Strain , D. B. Tanner , R. Taylor , M. Thomas , P. Thomas , K. A. Thorne , E. Thrane , C. I. Torrie , G. Traylor , G. Vajente , G. Valdes , A. A. van Veggel , A. Vecchio , P. J. Veitch , K. Venkateswara , T. Vo , C. Vorvick , M. Walker , R. L. Ward , J. Warner , B. Weaver , R. Weiss , P. Weßels , B. Willke , C. C. Wipf , J. Worden , G. Wu , H. Yamamoto , C. C. Yancey , Hang Yu , Haocun Yu , L. Zhang , M. E. Zucker , J. Zweizig

Discovery of strongly-lensed gravitational wave (GW) sources will unveil binary compact objects at higher redshifts and lower intrinsic luminosities than is possible without lensing. Such systems will yield unprecedented constraints on the…

Cosmology and Nongalactic Astrophysics · Physics 2019-05-07 G. P. Smith , C. P. L. Berry , M. Bianconi , W. M. Farr , M. Jauzac , R. J. Massey , J. Richard , A. Robertson , K. Sharon , A. Vecchio , J. Veitch

It is expected that interferometric gravitational wave detectors such as LIGO \cite{Barish99} will be eventually limited by fundamental noise sources like shot noise and Brownian motion, as well as by seismic noise. In the commissioning…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gabriela Gonzalez

Gravitational-wave detectors use state-of-the-art quantum technologies to reduce the noise induced by vacuum fluctuations, via injection of squeezed states of light. Future detectors, such as Einstein Telescope, may require the use of two…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Jacques Ding , Eleonora Capocasa , Isander Ahrend , Fangfei Liu , Yuhang Zhao , Matteo Barsuglia

Utilizing gravitational-wave (GW) lensing opens a new way to understand the small-scale structure of the universe. We show that, in spite of its coarse angular resolution and short duration of observation, LIGO can detect the GW lensing…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-06 Sunghoon Jung , Chang Sub Shin

In this paper, we explore the feasibility of detecting gravitomagnetic effects generated by gravitational waves, by monitoring the relative orientation of the angular momentum vectors of test particles. We analyze the response of the…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Yu-Qi Dong , Zhoujian Cao , Yu-Xiao Liu

The Advanced LIGO detectors have recently completed their second observation run successfully. The run lasted for approximately 10 months and lead to multiple new discoveries. The sensitivity to gravitational waves was partially limited by…

Instrumentation and Methods for Astrophysics · Physics 2019-02-27 J. C. Driggers , S. Vitale , A. P. Lundgren , M. Evans , K. Kawabe , S. E. Dwyer , K. Izumi , R. M. S. Schofield , A. Effler , D. Sigg , P. Fritschel , M. Drago , A. Nitz , B. P. Abbott , R. Abbott , T. D. Abbott , C. Adams , R. X Adhikari , V. B. Adya , A. Ananyeva , S. Appert , K. Arai , S. M. Aston , C. Austin , S. W. Ballmer , D. Barker , B. Barr , L. Barsotti , J. Bartlett , I. Bartos , J. C. Batch , A. S. Bell , J. Betzwieser , G. Billingsley , J. Birch , S. Biscans , C. D. Blair , R. M. Blair , R. Bork , A. F. Brooks , H. Cao , G. Ciani , F. Clara , S. J. Cooper , P. Corban , S. T. Countryman , P. B. Covas , M. J. Cowart , D. C. Coyne , A. Cumming , L. Cunningham , K. Danzmann , C. F. Da Silva Costa , E. J. Daw , D. DeBra , R. DeSalvo , K. L. Dooley , S. Doravari , T. B. Edo , T. Etzel , T. M. Evans , H. Fair , A. Fernandez-Galiana , E. C. Ferreira , R. P. Fisher , H. Fong , R. Frey , V. V. Frolov , P. Fulda , M. Fyffe , B. Gateley , J. A. Giaime , K. D. Giardina , E. Goetz , R. Goetz , S. Gras , C. Gray , H. Grote , K. E. Gushwa , E. K. Gustafson , R. Gustafson , E. D. Hall , G. Hammond , J. Hanks , J. Hanson , T. Hardwick , G. M. Harry , M. C. Heintze , A. W. Heptonstall , J. Hough , R. Jones , S. Kandhasamy , S. Karki , M. Kasprzack , S. Kaufer , R. Kennedy , N. Kijbunchoo , W. Kim , E. J. King , P. J. King , J. S. Kissel , W. Z. Korth , G. Kuehn , M. Landry , B. Lantz , M. Laxen , J. Liu , N. A. Lockerbie , M. Lormand , M. MacInnis , D. M. Macleod , S. Marka , Z. Marka , A. S. Markosyan , E. Maros , P. Marsh , I. W. Martin , D. V. Martynov , K. Mason , T. J. Massinger , F. Matichard , N. Mavalvala , R. McCarthy , D. E. McClelland , S. McCormick , L. McCuller , J. McIver , D. J. McManus , T. McRae , G. Mendell , E. L. Merilh , P. M. Meyers , R. Mittleman , K. Mogushi , D. Moraru , G. Moreno , C. M. Mow-Lowry , G. Mueller , N. Mukund , A. Mullavey , J. Munch , T. J. N. Nelson , P. Nguyen , L. K. Nuttall , J. Oberling , M. Oliver , P. Oppermann , Richard J. Oram , B. O'Reilly , D. J. Ottaway , H. Overmier , J. R. Palamos , W. Parker , A. Pele , S. Penn , C. J. Perez , M. Phelps , V. Pierro , I. M. Pinto , M. Pirello , M. Principe , L. G. Prokhorov , O. Puncken , V. Quetschke , E. A. Quintero , H. Radkins , P. Raffai , K. E. Ramirez , S. Reid , D. H. Reitze , N. A. Robertson , J. G. Rollins , V. J. Roma , C. L. Romel , J. H. Romie , M. P. Ross , S. Rowan , K. Ryan , T. Sadecki , E. J. Sanchez , L. E. Sanchez , V. Sandberg , R. L. Savage , D. Sellers , D. A. Shaddock , T. J. Shaffer , B. Shapiro , D. H. Shoemaker , B. J. J. Slagmolen , B. Smith , J. R. Smith , B. Sorazu , A. P. Spencer , K. A. Strain , D. B. Tanner , R. Taylor , M. Thomas , P. Thomas , K. A. Thorne , E. Thrane , K. Toland , C. I. Torrie , G. Traylor , M. Tse , D. Tuyenbayev , G. Vajente , G. Valdes , A. A. van Veggel , S. Vass , A. Vecchio , P. J. Veitch , K. Venkateswara , G. Venugopalan , T. Vo , C. Vorvick , M. Walker , R. L. Ward , J. Warner , B. Weaver , R. Weiss , P. Wessels , B. Willke , C. C. Wipf , J. Worden , H. Yamamoto , C. C. Yancey , Hang Yu , Haocun Yu , L. Zhang , M. E. Zucker , J. Zweizig

The characterization of the Advanced LIGO detectors in the second and third observing runs has increased the sensitivity of the instruments, allowing for a higher number of detectable gravitational-wave signals, and provided confirmation of…

Instrumentation and Methods for Astrophysics · Physics 2021-07-12 D. Davis , J. S. Areeda , B. K. Berger , R. Bruntz , A. Effler , R. C. Essick , R. P. Fisher , P. Godwin , E. Goetz , A. F. Helmling-Cornell , B. Hughey , E. Katsavounidis , A. P. Lundgren , D. M. Macleod , Z. Márka , T. J. Massinger , A. Matas , J. McIver , G. Mo , K. Mogushi , P. Nguyen , L. K. Nuttall , R. M. S. Schofield , D. H. Shoemaker , S. Soni , A. L. Stuver , A. L. Urban , G. Valdes , M. Walker , R. Abbott , C. Adams , R. X. Adhikari , A. Ananyeva , S. Appert , K. Arai , Y. Asali , S. M. Aston , C. Austin , A. M. Baer , M. Ball , S. W. Ballmer , S. Banagiri , D. Barker , C. Barschaw , L. Barsotti , J. Bartlett , J. Betzwieser , R. Beda , D. Bhattacharjee , J. Bidler , G. Billingsley , S. Biscans , C. D. Blair , R. M. Blair , N. Bode , P. Booker , R. Bork , A. Bramley , A. F. Brooks , D. D. Brown , A. Buikema , C. Cahillane , T. A. Callister , G. Caneva Santoro , K. C. Cannon , J. Carlin , K. Chandra , X. Chen , N. Christensen , A. A. Ciobanu , F. Clara , C. M. Compton , S. J. Cooper , K. R. Corley , M. W. Coughlin , S. T. Countryman , P. B. Covas , D. C. Coyne , S. G. Crowder , T. Dal Canton , B. Danila , L. E. H. Datrier , G. S. Davies , T. Dent , N. A. Didio , C. Di Fronzo , K. L. Dooley , J. C. Driggers , P. Dupej , S. E. Dwyer , T. Etzel , M. Evans , T. M. Evans , S. Fairhurst , J. Feicht , A. Fernandez-Galiana , R. Frey , P. Fritschel , V. V. Frolov , P. Fulda , M. Fyffe , B. U. Gadre , J. A. Giaime , K. D. Giardina , G. González , S. Gras , C. Gray , R. Gray , A. C. Green , A. Gupta , E. K. Gustafson , R. Gustafson , J. Hanks , J. Hanson , T. Hardwick , I. W. Harry , R. K. Hasskew , M. C. Heintze , J. Heinzel , N. A. Holland , I. J. Hollows , C. G. Hoy , S. Hughey , S. J. Jadhav , K. Janssens , G. Johns , J. D. Jones , S. Kandhasamy , S. Karki , M. Kasprzack , K. Kawabe , D. Keitel , N. Kijbunchoo , Y. M. Kim , P. J. King , J. S. Kissel , S. Kulkarni , Rahul Kumar , M. Landry , B. B. Lane , B. Lantz , M. Laxen , Y. K. Lecoeuche , J. Leviton , J. Liu , M. Lormand , R. Macas , A. Macedo , M. MacInnis , V. Mandic , G. L. Mansell , S. Márka , B. Martinez , K. Martinovic , D. V. Martynov , K. Mason , F. Matichard , N. Mavalvala , R. McCarthy , D. E. McClelland , S. McCormick , L. McCuller , C. McIsaac , T. McRae , G. Mendell , K. Merfeld , E. L. Merilh , P. M. Meyers , F. Meylahn , I. Michaloliakos , H. Middleton , J. C. Mills , T. Mistry , R. Mittleman , G. Moreno , C. M. Mow-Lowry , S. Mozzon , L. Mueller , N. Mukund , A. Mullavey , J. Muth , T. J. N. Nelson , A. Neunzert , S. Nichols , E. Nitoglia , J. Oberling , J. J. Oh , S. H. Oh , Richard J. Oram , R. G. Ormiston , N. Ormsby , C. Osthelder , D. J. Ottaway , H. Overmier , A. Pai , J. R. Palamos , F. Pannarale , W. Parker , O. Patane , M. Patel , E. Payne , A. Pele , R. Penhorwood , C. J. Perez , K. S. Phukon , M. Pillas , M. Pirello , H. Radkins , K. E. Ramirez , J. W. Richardson , K. Riles , K. Rink , N. A. Robertson , J. G. Rollins , C. L. Romel , J. H. Romie , M. P. Ross , K. Ryan , T. Sadecki , M. Sakellariadou , E. J. Sanchez , L. E. Sanchez , L. Sandles , T. R. Saravanan , R. L. Savage , D. Schaetzl , R. Schnabel , E. Schwartz , D. Sellers , T. Shaffer , D. Sigg , A. M. Sintes , B. J. J. Slagmolen , J. R. Smith , K. Soni , B. Sorazu , A. P. Spencer , K. A. Strain , D. Strom , L. Sun , M. J. Szczepańczyk , J. Tasson , R. Tenorio , M. Thomas , P. Thomas , K. A. Thorne , K. Toland , C. I. Torrie , A. Tran , G. Traylor , M. Trevor , M. Tse , G. Vajente , N. van Remortel , D. C. Vander-Hyde , A. Vargas , J. Veitch , P. J. Veitch , K. Venkateswara , G. Venugopalan , A. D. Viets , V. Villa-Ortega , T. Vo , C. Vorvick , M. Wade , G. S. Wallace , R. L. Ward , J. Warner , B. Weaver , A. J. Weinstein , R. Weiss , K. Wette , D. D. White , L. V. White , C. Whittle , A. R. Williamson , B. Willke , C. C. Wipf , L. Xiao , R. Xu , H. Yamamoto , Hang Yu , Haocun Yu , L. Zhang , Y. Zheng , M. E. Zucker , J. Zweizig

Squeezed states of light are used for precision metrology and quantum-enhanced measurements, with applications spanning communication and sensing. State-of-the-art squeezed-light sources typically rely on optical cavities to achieve high,…

Optics · Physics 2026-03-30 Erik Anders Torsten Svanberg , Daniel Voigt , Vaishali Adya

With the advanced gravitational wave detectors coming on line in the next 5 years, we expect to make the first detections of gravitational waves from astrophysical sources, and study the properties of the waves themselves as tests of…

General Relativity and Quantum Cosmology · Physics 2019-08-15 Alan J. Weinstein

Precision measurements of space and time, like those made by the detectors of the Laser Interferometer Gravitational-wave Observatory (LIGO), are often confronted with fundamental limitations imposed by quantum mechanics. The Heisenberg…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Wenxuan Jia , Victoria Xu , Kevin Kuns , Masayuki Nakano , Lisa Barsotti , Matthew Evans , Nergis Mavalvala , Rich Abbott , Ibrahim Abouelfettouh , Rana Adhikari , Alena Ananyeva , Stephen Appert , Koji Arai , Naoki Aritomi , Stuart Aston , Matthew Ball , Stefan Ballmer , David Barker , Beverly Berger , Joseph Betzwieser , Dripta Bhattacharjee , Garilynn Billingsley , Nina Bode , Edgard Bonilla , Vladimir Bossilkov , Adam Branch , Aidan Brooks , Daniel Brown , John Bryant , Craig Cahillane , Huy-tuong Cao , Elenna Capote , Yanbei Chen , Filiberto Clara , Josh Collins , Camilla Compton , Robert Cottingham , Dennis Coyne , Ryan Crouch , Janos Csizmazia , Torrey Cullen , Louis Dartez , Nicholas Demos , Ezekiel Dohmen , Jenne Driggers , Sheila Dwyer , Anamaria Effler , Aldo Ejlli , Todd Etzel , Jon Feicht , Raymond Frey , William Frischhertz , Peter Fritschel , Valery Frolov , Paul Fulda , Michael Fyffe , Dhruva Ganapathy , Bubba Gateley , Joe Giaime , Dwayne Giardina , Jane Glanzer , Evan Goetz , Aaron Jones , Slawomir Gras , Corey Gray , Don Griffith , Hartmut Grote , Tyler Guidry , Evan Hall , Jonathan Hanks , Joe Hanson , Matthew Heintze , Adrian Helmling-cornell , Hsiang-yu Huang , Yuki Inoue , Alasdair James , Austin Jennings , Srinath Karat , Marie Kasprzack , Keita Kawabe , Nutsinee Kijbunchoo , Jeffrey Kissel , Antonios Kontos , Rahul Kumar , Michael Landry , Brian Lantz , Michael Laxen , Kyung-ha Lee , Madeline Lesovsky , Francisco Llamas , Marc Lormand , Hudsonalexander Loughlin , Ronaldas Macas , Myron Macinnis , Camille Makarem , Benjaminrobert Mannix , Georgia Mansell , Rodica Martin , Nyath Maxwell , Garrett Mccarrol , Richard Mccarthy , David Mcclelland , Scott Mccormick , Lee Mcculler , Terry Mcrae , Fernando Mera , Edmond Merilh , Fabian Meylahn , Richard Mittleman , Dan Moraru , Gerardo Moreno , Matthew Mould , Adam Mullavey , Timothy Nelson , Ansel Neunzert , Jason Oberling , Timothy Ohanlon , Charles Osthelder , David Ottaway , Harry Overmier , William Parker , Arnaud Pele , Huyen Pham , Marc Pirello , Volker Quetschke , Karla Ramirez , Jonathan Reyes , Jonathan Richardson , Mitchell Robinson , Jameson Rollins , Janeen Romie , Michael Ross , Travis Sadecki , Anthony Sanchez , Eduardo Sanchez , Luis Sanchez , Richard Savage , Dean Schaetzl , Mitchell Schiworski , Roman Schnabel , Robert Schofield , Eyal Schwartz , Danny Sellers , Thomas Shaffer , Ryan Short , Daniel Sigg , Bram Slagmolen , Siddharth Soni , Ling Sun , David Tanner , Michael Thomas , Patrick Thomas , Keith Thorne , Calum Torrie , Gary Traylor , Gabriele Vajente , Jordan Vanosky , Alberto Vecchio , Peter Veitch , Ajay Vibhute , Erik Vonreis , Jim Warner , Betsy Weaver , Rainer Weiss , Chris Whittle , Benno Willke , Christopher Wipf , Hiro Yamamoto , Haocun Yu , Liyuan Zhang , Michael Zucker

We assess the science reach and technical feasibility of a satellite mission based on precision atomic sensors configured to detect gravitational radiation. Conceptual advances in the past three years indicate that a two-satellite…

Instrumentation and Methods for Astrophysics · Physics 2017-11-08 Peter W. Graham , Jason M. Hogan , Mark A. Kasevich , Surjeet Rajendran , Roger W. Romani

As of this moment, fifty gravitational waves (GW) detections have been announced, thanks to the observational efforts of the LIGO-Virgo Collaboration, working with the Advanced LIGO and the Advanced Virgo interferometers. The detection of…

Instrumentation and Methods for Astrophysics · Physics 2021-12-30 Filip Morawski , Michał Bejger , Elena Cuoco , Luigia Petre

A major challenge of any search for gravitational waves is to distinguish true astrophysical signals from those of terrestrial origin. Gravitational-wave experiments therefore make use of multiple detectors, considering only those signals…

Instrumentation and Methods for Astrophysics · Physics 2017-08-01 T. A. Callister , J. B. Kanner , T. J. Massinger , S. Dhurandhar , A. J. Weinstein

Accurate and reliable calibration of the Advanced LIGO detectors has enabled a plethora of gravitational-wave discoveries in the detectors' first decade of operation, starting with the ground-breaking discovery, GW150914. In the first…

General Relativity and Quantum Cosmology · Physics 2025-10-10 M. Wade , J. Betzwieser , D. Bhattacharjee , L. Dartez , E. Goetz , J. Kissel , L. Sun , A. Viets , M. Carney , E. Makelele , L. Wade

Hardware injections are simulated gravitational-wave signals added to the Laser Interferometer Gravitational-wave Observatory (LIGO). The detectors' test masses are physically displaced by an actuator in order to simulate the effects of a…