https://doi.org/10.1007/s100530170014
Quantum limits of cold damping with optomechanical coupling
Laboratoire Kastler Brossel (website: Unité mixte de recherche de
l'Université Pierre et Marie Curie, de l'École Normale Supérieure et du Centre National de la Recherche
Scientifique.) , UPMC Case 74, 4 place Jussieu, 75252 Paris Cedex 05, France
Corresponding authors: a courty@spectro.jussieu.fr - b heidmann@spectro.jussieu.fr - c pinard@spectro.jussieu.fr
Received:
1
August
2001
Revised:
12
October
2001
Published online: 15 December 2001
Thermal noise of a mirror can be reduced by cold damping. The displacement is measured with a high-finesse cavity and controlled with the radiation pressure of a modulated light beam. We establish the general quantum limits of noise in cold damping mechanisms and we show that the optomechanical system allows to reach these limits. Displacement noise can be arbitrarily reduced in a narrow frequency band. In a wide-band analysis we show that thermal fluctuations are reduced as with classical damping whereas quantum zero-point fluctuations are left unchanged. The only limit of cold damping is then due to zero-point energy of the mirror.
PACS: 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps / 05.40.Jc – Brownian motion / 04.80.Nn – Gravitational wave detectors and experiments
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001