Abstract
Measuring weak forces lies in the heart of modern physics: on the small scale, atomic-force microscopy probes microscopic structures, or even Casimir force, by measuring the displacement of a micro-mechanical cantilever; on the large scale, gravitational-wave (GW) detectors search for ripples in spacetime, by measuring the differential displacements of spatially-separated test masses induced by tiny gravitational tidal forces.
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References
O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, A. Heidmann, Radiation-pressure cooling and optomechanical instability of a micromirror. Nature 444, 71–74 (2006)
D. Bouwmeester, A. Ekert, A. Zeilinger, The Physics of Quantum Information (Springer, Berlin, 2002)
V.B. Braginsky, Y.I. Vorontsov, K.S. Thorne, Quantum nondemolition measurements. Science 209, 547–557 (1980)
A. Buonanno, Y. Chen, Quantum noise in second generation, signalrecycled laser interferometric gravitational-wave detectors. Phys. Rev. D 64, 042006 (2001)
Y. Chen, Sagnac interferometer as a speed-meter-type, quantumnondemolition gravitational-wave detector. Phys. Rev. D 67, 122004 (2003)
P.F. Cohadon, A. Heidmann, M. Pinard, Cooling of a mirror by radiation pressure. Phys. Rev. Lett. 83, 3174 (1999)
LIGO Scientific Collaboration, Observation of a kilogram-scale oscillator near its quantum ground state. New Journal of Physics 11(7), 073032 (2009)
T. Corbitt, N. Mavalvala, S. Whitcomb, Optical cavities as amplitude filters for squeezed fields. Phys. Rev. D 70, 022002 (2004)
T. Corbitt, Y. Chen, E. Innerhofer, H. Mueller-Ebhardt, D. Ottaway, H. Rehbein, D. Sigg, S. Whitcomb, C. Wipf, N. Mavalvala, An All-Optical Trap for a Gram-Scale Mirror. Phys. Rev. Lett. 98, 150802–4 (2007)
T. Corbitt, C. Wipf, T. Bodiya, D. Ottaway, D. Sigg, N. Smith, S. Whitcomb, N. Mavalvala, Optical dilution and feedback cooling of a gram-scale oscillator to 6.9 mK. Phys. Rev. Lett. 99, 160801–4 (2007)
S.L. Danilishin, Sensitivity limitations in optical speed meter topology of gravitational-wave antennas. Phys. Rev. D 69, 102003 (2004)
S. Danilishin, H. Mueller-Ebhardt, H. Rehbein, K. Somiya, R. Schnabel, K. Danzmann, T. Corbitt, C. Wipf, N. Mavalvala, Y. Chen, Creation of a quantum oscillator by classical control, arXiv:0809.2024 (2008)
A.C. Doherty, K. Jacobs, Feedback control of quantum systems using continuous state estimation. Phys. Rev. A 60, 2700 (1999)
A.C. Doherty, S.M. Tan, A.S. Parkins, D.F. Walls, State determination in continuous measurement. Phys. Rev. A 60, 2380 (1999)
A. Einstein, B. Podolsky, N. Rosen, Can quantum-mechanical description of physical reality be considered complete?. Phys. Rev. 47, 777 (1935)
I. Favero, C. Metzger, S. Camerer, D. Konig, H. Lorenz, J.P. Kotthaus, K. Karrai, Optical cooling of a micromirror of wavelength size. Appl. Phys. Lett. 90, 104101–3 (2007)
C. Gardiner, P. Zoller, Quantum Noise (Springer, Berlin, 2004)
F.J. Giessibl, Advances in atomic force microscopy. Rev. Mod. Phys. 75, 949 (2003)
S. Gigan, H.R. Böhm, M. Paternostro, F. Blaser, G. Langer, J.B. Hertzberg, K.C. Schwab, D. Bäuerle, M. Aspelmeyer, A. Zeilinger, Self-cooling of a micromirror by radiation pressure. Nature 444, 67–70 (2006)
S. Gröblacher, S. Gigan, H.R. Bohm, A. Zeilinger, M. Aspelmeyer, Radiation-pressure self-cooling of a micromirror in a cryogenic environment. EPL (Europhys. Lett.) 81(5), 54003 (2008)
S. Gröblacher, J.B. Hertzberg, M.R. Vanner, G.D. Cole, S. Gigan, K.C. Schwab, M. Aspelmeyer, Demonstration of an ultracold microoptomechanical oscillator in a cryogenic cavity. Nat Phys 5, 485–488 (2009)
M.J. Hartmann, M.B. Plenio, Steady state entanglement in the mechanical vibrations of two dielectric membranes. Phys. Rev. Lett. 101, 200503 (2008)
A. Hopkins, K. Jacobs, S. Habib, K. Schwab, Feedback cooling of a nanomechanical resonator. Phys. Rev. B 68, 235328 (2003) Dec.
http://geo600.aei.mpg.de
http://www.ligo.caltech.edu
http://www.virgo.infn.it
G. Jourdan, F. Comin, J. Chevrier, Mechanical mode dependence of bolometric backaction in an atomic force microscopy microlever. Phys. Rev. Lett. 101, 133904–4 (2008)
M. Keller, B. Lange, K. Hayasaka, W. Lange, H. Walther, Continuous generation of single photons with controlled waveform in an ion-trap cavity system. Nature 431, 1075–1078 (2004)
F.Y. Khalili, Y. Levin, Speed meter as a quantum nondemolition measuring device for force. Phys. Rev. D 54, 004735 (1996)
H.J. Kimble, Y. Levin, A.B. Matsko, K.S. Thorne, S.P. Vyatchanin, Conversion of conventional gravitational-wave interferometers into quantum nondemolition interferometers by modifying their input and/or output optics. Phys. Rev. D 65, 022002 (2001)
D. Kleckner, D. Bouwmeester, Sub-kelvin optical cooling of a micromechanical resonator. Nature 444, 75–78 (2006)
C.K. Law, H.J. Kimble, Deterministic generation of a bit-stream of single-photon pulses. J. Mod. Opt. 44(11), 2067–2074 (1997)
S. Mancini, V. Giovannetti, D. Vitali, P. Tombesi, Entangling macroscopic oscillators exploiting radiation pressure. Phys. Rev. Lett. 88, 120401 (2002)
F. Marquardt, J.P. Chen, A.A. Clerk, S.M. Girvin, Quantum theory of cavity-assisted sideband cooling of mechanical motion. Phys. Rev. Lett. 99, 093902 (2007)
J. McKeever, A. Boca, A.D. Boozer, R. Miller, J.R. Buck, A. Kuzmich, H.J. Kimble, Deterministic generation of single photons from one atom trapped in a cavity. Science 303, 1992–1994 (2004)
C.H. Metzger, K. Karrai, Cavity cooling of a microlever. Nature 432, 1002–1005 (2004)
G.J. Milburn, Classical and quantum conditional statistical dynamics. Quantum and Semiclassical Optics: Journal of the European Optical Society Part B 8(1), 269 (1996)
U. Mohideen, A. Roy, Precision measurement of the casimir force from 0.1 to 0.9 mum. Phys. Rev. Lett. 81, 4549 (1998)
C.M. Mow-Lowry, A.J. Mullavey, S. Gossler, M.B. Gray, D.E. McClelland, Cooling of a gram-scale cantilever flexure to 70 mK with a servo-modified optical spring. Phys. Rev. Lett. 100, 010801–4 (2008)
H. Mueller-Ebhardt, H. Rehbein, R. Schnabel, K. Danzmann, Y. Chen, Entanglement of macroscopic test masses and the standard quantum limit in laser interferometry. Phys. Rev. Lett. 100, 013601 (2008)
A. Naik, O. Buu, M.D. LaHaye, A.D. Armour, A.A. Clerk, M.P. Blencowe, K.C. Schwab, Cooling a nanomechanical resonator with quantum back-action. Nature 443, 193–196 (2006)
M. Poggio, C.L. Degen, H.J. Mamin, D. Rugar, Feedback Cooling of a Cantilever’s Fundamental Mode below 5 mK. Phys. Rev. Lett. 99, 017201–4 (2007)
P. Purdue, Analysis of a quantum nondemolition speed-meter interferometer. Phys. Rev. D 66, 022001 (2002)
P. Purdue, Y. Chen, Practical speed meter designs for quantum nondemolition gravitational-wave interferometers. Phys. Rev. D 66, 122004 (2002)
H. Rehbein, H. Müller-Ebhardt, K. Somiya, S.L. Danilishin, R. Schnabel, K. Danzmann, Y. Chen, Double optical spring enhancement for gravitational-wave detectors. Phys. Rev. D 78, 062003 (2008)
S.W. Schediwy, C. Zhao, L. Ju, D.G. Blair, P. Willems, Observation of enhanced optical spring damping in a macroscopic mechanical resonator and application for parametric instability control in advanced gravitationalwave detectors. Phys. Rev. A 77, 013813–5 (2008)
A. Schliesser, P. Del’Haye, N. Nooshi, K.J. Vahala, T.J. Kippenberg, Radiation pressure cooling of a micromechanical oscillator using dynamical backaction. Phys. Rev. Lett. 97, 243905–4 (2006)
A. Schliesser, R. Riviere, G. Anetsberger, O. Arcizet, T.J. Kippenberg, Resolved-sideband cooling of a micromechanical oscillator. Nat. Phys. 4, 415–419 (2008)
J.D. Teufel, J.W. Harlow, C.A. Regal, K.W. Lehnert, Dynamical Backaction of Microwave Fields on a Nanomechanical Oscillator. Phys. Rev. Lett. 101, 197203–4 (2008)
J.D. Thompson, B.M. Zwickl, A.M. Jayich, F. Marquardt, S.M. Girvin, J.G.E. Harris, Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane. Nature 452, 72–75 (2008)
D. Vitali, S. Gigan, A. Ferreira, H.R. Bohm, P. Tombesi, A. Guerreiro, V. Vedral, A. Zeilinger, M. Aspelmeyer, Optomechanical entanglement between a movable mirror and a cavity field. Phys. Rev. Lett. 98, 030405 (2007)
S.P. Vyatchanin, A.B. Matsko, Quantum limit on force measurements. JETP 77, 218 (1993)
S.P. Vyatchanin, E.A. Zubova, Quantum variation measurement of a force. Phys. Lett. A 201, 269–274 (1995)
I. Wilson-Rae, N. Nooshi, W. Zwerger, T.J. Kippenberg, Theory of ground state cooling of a mechanical oscillator using dynamical backaction. Phys. Rev. Lett. 99, 093901 (2007)
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Miao, H. (2012). Introduction. In: Exploring Macroscopic Quantum Mechanics in Optomechanical Devices. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25640-0_1
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