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Quantum mechanics places noise limits and sensitivity restrictions on physical measurements. The balance between unwanted backaction and the precision of optical measurements impose a standard quantum limit (SQL) on interferometric systems.…

Nanomechanical oscillators are at the heart of ultrasensitive detectors of force, mass and motion. As these detectors progress to even better sensitivity, they will encounter measurement limits imposed by the laws of quantum mechanics. For…

Mesoscale and Nanoscale Physics · Physics 2009-11-06 J. D. Teufel , T. Donner , M. A. Castellanos-Beltran , J. W. Harlow , K. W. Lehnert

State-of-the-art sensors of force, motion and magnetic fields have reached the sensitivity where the quantum noise of the meter is significant or even dominant. In particular, the sensitivity of the best optomechanical devices has reached…

Quantum Physics · Physics 2021-05-05 Farid Ya. Khalili , Emil Zeuthen

Interferometers enable ultrasensitive measurement in a wide array of applications from gravitational wave searches to force microscopes. The role of quantum mechanics in the metrological limits of interferometers has a rich history, and a…

Quantum Physics · Physics 2017-04-26 N. S. Kampel , R. W. Peterson , R. Fischer , P. -L. Yu , K. Cicak , R. W. Simmonds , K. W. Lehnert , C. A. Regal

This paper, following [M. Ozawa, Phys. Rev. Lett. 60, 385 (1988)], reports a refutation of the claim that for monitoring the position of a free mass such as gravitational-wave interferometers the sensitivity is limited by the so called…

Quantum Physics · Physics 2018-09-05 Masanao Ozawa

Optical interferometry is by far the most sensitive displacement measurement technique available, with sensitivities at the 10^-20 m/rootHz level in the large-scale gravitational-wave interferometers currently in operation. Second…

Quantum Physics · Physics 2012-04-03 P. Verlot , A. Tavernarakis , T. Briant , P. -F. Cohadon , A. Heidmann

We demonstrate a transducer of nanomechanical motion based on cavity enhanced optical near-fields capable of achieving a shot-noise limited imprecision more than 10 dB below the standard quantum limit (SQL). Residual background due to…

Precision measurement plays a crucial role in all fields of science. The use of entangled sensors in quantum metrology improves the precision limit from the standard quantum limit (SQL) to the Heisenberg limit (HL). To date, most…

Non-vanishing fluctuations of the vacuum state are a salient feature of quantum theory. These fluctuations fundamentally limit the precision of quantum sensors. Nowadays, several systems such as optical clocks, gravitational wave detectors,…

In this review, we study how a hybrid optomechanical system (OMS), in which a quantum micro- or nano-mechanical oscillator (MO) is coupled to the electromagnetic (EM) radiation pressure, consisting of an ensemble of ultracold atoms or an…

Quantum Physics · Physics 2021-04-20 Ali Motazedifard , A. Dalafi , M. H. Naderi

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

Optomechanical systems have been exploited in ultrasensitive measurements of force, acceleration, and magnetic fields. The fundamental limits for optomechanical sensing have been extensively studied and now well understood -- the intrinsic…

Interferometers are crucial for precision measurements, including gravitational waves, laser ranging, radar, and imaging. The phase sensitivity, the core parameter, can be quantum-enhanced to break the standard quantum limit (SQL) using…

Quantum Physics · Physics 2023-02-22 Wenfeng Huang , Xinyun Liang , Baiqiang Zhu , Yuhan Yan , Chun-Hua Yuan , Weiping Zhang , Liqing Chen

Precision metrology underpins scientific and technological advancements. Quantum metrology offers a pathway to surpass classical sensing limits by leveraging quantum states and measurement strategies. However, measuring multiple…

Quantum noise is an important issue for advanced LIGO. Although it is in principle possible to beat the Standard Quantum Limit (SQL), no practical recipe has been found yet. This paper dicusses quantum noise in the context of speedmeter-a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 F. Ya. Khalili , Yu. Levin

The uncertainty principle, applied naively to the test masses of a laser-interferometer gravitational-wave detector, produces a Standard Quantum Limit (SQL) on the interferometer's sensitivity. It has long been thought that beating this SQL…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Alessandra Buonanno , Yanbei Chen

Ultra-high sensitivity detection of quantum-scale displacements in cavity optomechanics optimises the combined errors from measurement back-action and imprecisions from incoming quantum noises. This sets the well-known Standard Quantum…

Quantum Physics · Physics 2020-06-02 M. Toroš , T. S. Monteiro

Standard Quantum Limit (SQL) of a classical mechanical force detection results from quantum back action perturbing evolution of a mechanical system. In this paper we show that usage of a multidimensional optical transducer may enable a…

Quantum Physics · Physics 2022-11-23 Sergey P. Vyatchanin , Albert I. Nazmiev , Andrey B. Matsko

Measurement of minuscule forces and displacements with ever greater precision encounters a limit imposed by a pillar of quantum mechanics: the Heisenberg uncertainty principle. A limit to the precision with which the position of an object…

Quantum Physics · Physics 2020-09-01 Haocun Yu , L. McCuller , M. Tse , L. Barsotti , N. Mavalvala , J. Betzwieser , C. D. Blair , S. E. Dwyer , A. Effler , M. Evans , A. Fernandez-Galiana , P. Fritschel , V. V. Frolov , N. Kijbunchoo , F. Matichard , D. E. McClelland , T. McRae , A. Mullavey , D. Sigg , B. J. J. Slagmolen , C. Whittle , A. Buikema , Y. Chen , T. R. Corbitt , R. Schnabel , R. Abbott , C. Adams , R. X. Adhikari , A. Ananyeva , S. Appert , K. Arai , J. S. Areeda , Y. Asali , S. M. Aston , C. Austin , A. M. Baer , M. Ball , S. W. Ballmer , S. Banagiri , D. Barker , J. Bartlett , B. K. Berger , D. Bhattacharjee , G. Billingsley , S. Biscans , R. M. Blair , N. Bode , P. Booker , R. Bork , A. Bramley , A. F. Brooks , D. D. Brown , C. Cahillane , K. C. Cannon , X. Chen , A. A. Ciobanu , F. Clara , S. J. Cooper , K. R. Corley , S. T. Countryman , P. B. Covas , D. C. Coyne , L. E. H. Datrier , D. Davis , C. Di Fronzo , K. L. Dooley , J. C. Driggers , P. Dupej , T. Etzel , T. M. Evans , J. Feicht , P. Fulda , M. Fyffe , J. A. Giaime , K. D. Giardina , P. Godwin , E. Goetz , S. Gras , C. Gray , R. Gray , A. C. Green , Anchal Gupta , E. K. Gustafson , R. Gustafson , J. Hanks , J. Hanson , T. Hardwick , R. K. Hasskew , M. C. Heintze , A. F. Helmling-Cornell , N. A. Holland , J. D. Jones , S. Kandhasamy , S. Karki , M. Kasprzack , K. Kawabe , P. J. King , J. S. Kissel , Rahul Kumar , M. Landry , B. B. Lane , B. Lantz , M. Laxen , Y. K. Lecoeuche , J. Leviton , J. Liu , M. Lormand , A. P. Lundgren , R. Macas , M. MacInnis , D. M. Macleod , G. L. Mansell , S. Márka , Z. Márka , D. V. Martynov , K. Mason , T. J. Massinger , R. McCarthy , S. McCormick , J. McIver , G. Mendell , K. Merfeld , E. L. Merilh , F. Meylahn , T. Mistry , R. Mittleman , G. Moreno , C. M. Mow-Lowry , S. Mozzon , T. J. N. Nelson , P. Nguyen , L. K. Nuttall , J. Oberling , Richard J. Oram , C. Osthelder , D. J. Ottaway , H. Overmier , J. R. Palamos , W. Parker , E. Payne , A. Pele , C. J. Perez , M. Pirello , H. Radkins , K. E. Ramirez , J. W. Richardson , K. Riles , N. A. Robertson , J. G. Rollins , C. L. Romel , J. H. Romie , M. P. Ross , K. Ryan , T. Sadecki , E. J. Sanchez , L. E. Sanchez , T. R. Saravanan , R. L. Savage , D. Schaetzl , R. M. S. Schofield , E. Schwartz , D. Sellers , T. Shaffer , J. R. Smith , S. Soni , B. Sorazu , A. P. Spencer , K. A. Strain , L. Sun , M. J. Szczepańczyk , M. Thomas , P. Thomas , K. A. Thorne , K. Toland , C. I. Torrie , G. Traylor , A. L. Urban , G. Vajente , G. Valdes , D. C. Vander-Hyde , P. J. Veitch , K. Venkateswara , G. Venugopalan , A. D. Viets , T. Vo , C. Vorvick , M. Wade , R. L. Ward , J. Warner , B. Weaver , R. Weiss , B. Willke , C. C. Wipf , L. Xiao , H. Yamamoto , Hang Yu , L. Zhang , M. E. Zucker , J. Zweizig

We report a quantum measurement beyond the standard quantum limit (SQL) for the amplitude of a small displacement acting on a cavity field. This measurement uses as resource an entangled mesoscopic state, prepared by the resonant…

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