Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Quantum-noise reduction using a cavity with a movable mirror

Claude Fabre, M. Pinard, S. Bourzeix, A. Heidmann, E. Giacobino, Serge Reynaud

Published Feb 1, 1994• 344 citations
Publisher

Abstract

Because of radiation pressure, an optical cavity with harmonically bound mirrors has an intensity-dependent length and behaves as an effective Kerr medium. We determine the quantum fluctuations of the field reflected by such a cavity, taking into account the input field fluctuations and the mirror Brownian motion. In the regions of parameter space close to bistability turning points, we obtain a significant quantum-noise reduction effect.

DOI
10.1103/physreva.49.1337

Related papers

Quantum noise reduction using a cavity with a movable mirror

Claude Fabre, M. Pinard, S. Bourzeix +3 more

When a light beam interacts with Kerr medium inside an optical cavity, its quantum fluctuations are squeezed.1 One can show that perfect squeezing can be obtained close to the turning points of the bistability curve. In order to implement such a scheme, one needs perfect Kerr media (with no losses, infinite frequency bandwidth and no excess noise) that are not available to date.2 We study here a new kind of Kerr medium, in which the nonlinearity has a mechanical origin: if a mirror is free to move, the radiation pressure will induce a coupling between its position and the intensity of the light beam, thus modifying the optical path in an intensity-dependent way.

•May 8, 1994•2 citations

Quantum noise reduction by radiation pressure

Stefano Mancini, P. Tombesi

We show that a linear Fabry-P\'erot cavity with an oscillating end mirror can be used for quantum noise reduction. For a high-quality factor of the mechanical oscillator the output quantum fluctuations of the monochromatic light beam can be significantly squeezed at a frequency very close to that of the impinging light. The analysis is performed by taking into account the coupling of the system with the external world.

Physical Review A•May 1, 1994•334 citations

Phase-noise measurement in a cavity with a movable mirror undergoing quantum Brownian motion

Vittorio Giovannetti, David Vitali

We study the dynamics of an optical mode in a cavity with a movable mirror subject to quantum Brownian motion. We study the phase-noise power spectrum of the output light, and we describe the mirror Brownian motion, which is responsible for the thermal-noise contribution, using the quantum Langevin approach. We show that the standard quantum Langevin equations, supplemented with the appropriate non-Markovian correlation functions, provide an adequate description of Brownian motion.

arXiv:quant-ph/0006084•Physical Review A•Jan 16, 2001•511 citations

Quantum noise in the position measurement of a cavity mirror undergoing Brownian motion

Kurt A. Jacobs, Ilkka Juhani Tittonen, Howard M. Wiseman +1 more

We perform a quantum theoretical calculation of the noise power spectrum for a phase measurement of the light output from a coherently driven optical cavity with a freely moving rear mirror. We examine how the noise resulting from the quantum back action appears among the various contributions from other noise sources. We do not assume an ideal (homodyne) phase measurement, but rather consider phase-modulation detection, which we show has a different shot noise level. We also take into account the effects of thermal damping of the mirror, losses within the cavity, and classical laser noise. We relate our theoretical results to experimental parameters, so as to make direct comparisons with current experiments simple. We also show that in this situation, the standard Brownian motion master equation is inadequate for describing the thermal damping of the mirror, as it produces a spurious term in the steady-state phase-fluctuation spectrum. The corrected Brownian motion master equation [L. Diosi, Europhys. Lett. 22, 1 (1993)] rectifies this inadequacy.

arXiv:quant-ph/9902040•Physical Review A•Jul 1, 1999•60 citations

Quantum nondemolition measurement of optical field fluctuations by optomechanical interaction

A. Pontin, M. Bonaldi, A. Borrielli +7 more

According to quantum mechanics, if we keep observing a continuous variable we generally disturb its evolution. For a class of observables, however, it is possible to implement a so-called quantum nondemolition measurement: by confining the perturbation to the conjugate variable, the observable is estimated with arbitrary accuracy, or prepared in a well-known state. For instance, when the light bounces on a movable mirror, its intensity is not perturbed (the effect is just seen on the phase of the radiation), but the radiation pressure allows one to trace back its fluctuations by observing the mirror motion. In this work, we implement a cavity optomechanical experiment based on an oscillating micromirror, and we measure correlations between the output light intensity fluctuations and the mirror motion. We demonstrate that the uncertainty of the former is reduced below the shot-noise level determined by the corpuscular nature of light.

arXiv:1611.00917•Physical Review A•Mar 16, 2018•19 citations

Quantum statistical properties of the radiation field in a cavity with a movable mirror

Constantin Brif, A. Mann

A quantum system composed of a cavity radiation field interacting with a movable mirror is considered and quantum statistical properties of the field are studied. Such a system can serve, in principle, as an idealized meter for detection of a weak classical force coupled to the mirror which is modelled by a quantum harmonic oscillator. It is shown that the standard quantum limit on the measurement of the mirror position arises naturally from the properties of the system during its dynamical evolution. However, the force detection sensitivity of the system falls short of the corresponding standard quantum limit. We also study the effect of the nonlinear interaction between the moving mirror and the radiation pressure on the quadrature fluctuations of the initially coherent cavity field.

arXiv:quant-ph/9905040•Journal of Optics B Quantum and Semiclassical Optics•Feb 1, 2000•13 citations
Because of radiation pressure, an optical cavity with harmonically bound mirrors has an intensity-dependent length and behaves as an effective Kerr medium. We determine the quantum fluctuations of the field reflected by such a cavity, taking into account the input field fluctuations and the mirror Brownian motion. In the regions of parameter space close to bistability turning points, we obtain a significant quantum-noise reduction effect.
When a light beam interacts with Kerr medium inside an optical cavity, its quantum fluctuations are squeezed.1 One can show that perfect squeezing can be obtained close to the turning points of the bistability curve. In order to implement such a scheme, one needs perfect Kerr media (with no losses, infinite frequency bandwidth and no excess noise) that are not available to date.2 We study here a new kind of Kerr medium, in which the nonlinearity has a mechanical origin: if a mirror is free to move, the radiation pressure will induce a coupling between its position and the intensity of the light beam, thus modifying the optical path in an intensity-dependent way.
We perform a quantum theoretical calculation of the noise power spectrum for a phase measurement of the light output from a coherently driven optical cavity with a freely moving rear mirror. We examine how the noise resulting from the quantum back action appears among the various contributions from other noise sources. We do not assume an ideal (homodyne) phase measurement, but rather consider phase-modulation detection, which we show has a different shot noise level. We also take into account the effects of thermal damping of the mirror, losses within the cavity, and classical laser noise. We relate our theoretical results to experimental parameters, so as to make direct comparisons with current experiments simple. We also show that in this situation, the standard Brownian motion master equation is inadequate for describing the thermal damping of the mirror, as it produces a spurious term in the steady-state phase-fluctuation spectrum. The corrected Brownian motion master equation [L. Diosi, Europhys. Lett. 22, 1 (1993)] rectifies this inadequacy.
According to quantum mechanics, if we keep observing a continuous variable we generally disturb its evolution. For a class of observables, however, it is possible to implement a so-called quantum nondemolition measurement: by confining the perturbation to the conjugate variable, the observable is estimated with arbitrary accuracy, or prepared in a well-known state. For instance, when the light bounces on a movable mirror, its intensity is not perturbed (the effect is just seen on the phase of the radiation), but the radiation pressure allows one to trace back its fluctuations by observing the mirror motion. In this work, we implement a cavity optomechanical experiment based on an oscillating micromirror, and we measure correlations between the output light intensity fluctuations and the mirror motion. We demonstrate that the uncertainty of the former is reduced below the shot-noise level determined by the corpuscular nature of light.
A quantum system composed of a cavity radiation field interacting with a movable mirror is considered and quantum statistical properties of the field are studied. Such a system can serve, in principle, as an idealized meter for detection of a weak classical force coupled to the mirror which is modelled by a quantum harmonic oscillator. It is shown that the standard quantum limit on the measurement of the mirror position arises naturally from the properties of the system during its dynamical evolution. However, the force detection sensitivity of the system falls short of the corresponding standard quantum limit. We also study the effect of the nonlinear interaction between the moving mirror and the radiation pressure on the quadrature fluctuations of the initially coherent cavity field.