Abstract
In recent years, significant improvements in optical and mechanical elements have led to the development of the field of optomechanics, where mechanical oscillators couple optical fields via the radiation pressure of light. In this chapter, we provide a short history of study about optomechanical effects, and explain briefly about a part of optomechanical effects, e.g., cavity-assisted cooling, instability, measurement limit for continuous measurement, ponderomotive squeezing, and entanglement. Especially, the measurement limit for continuous measurement is explained in detail, because the quantum back-action was inferred from the noise analysis in our estimation. This chapter presents the historical and physical background of this research.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
This experiment was introduced in the novel entitled as “Sanshir\({\bar{\mathrm{{o}}}}\)”, which was written by the Japanese famous writer Natsume S\({\bar{\mathrm{{o}}}}\)seki in 1908. In the novel, Nonomiya-sensei performed the Nichols’s experiment in the basement of the University of Tokyo. Our experiment was also performed in the basement of the University of Tokyo to measure the pressure of light, similarly to that written in Sanshir\({\bar{\mathrm{{o}}}}\). The difference is that Nonomiya-sensei’s target was the stationary pressure of the light but our target was the fluctuated pressure of the light.
References
Kepler, J.: De Cometis (1619)
Bartoli, A.G.: Sopra i movimenti prodotti dalla luce e dal calore (1876)
Lebedew, P.: Untersuchungen über die Druckkräfte des Lichtes. Ann. Phys. 311, 433 (1901)
Nichols, E.F., Hull, G.F.: The pressure due to radiation. Astrophys. J. 17(5), 315–351 (1903)
Einstein, A.: Entwicklung unserer Anschauungen über das Wesen und die Konstitution der Strahlung. Phys. Z. 10, 817–825 (1909)
Hirakawa, H., Hiramatsu, S., Ogawa, Y.: Damping of Brownian motion by cold load. Phys Lett. 63, 3 (1977)
Ashkin, A.: Trapping of atoms by resonance radiation pressure. Phys. Rev. Lett. 40, 12 (1978)
Ashkin, A., Dziedzic, J.M., Yamane, T.: Optical trapping and manipulation of single cells using infrared laser beams. Nature 330, 769–771 (1987)
Tongcang, L., Kheifets, S., Medellin, D., Raizen, M.G.: Measurement of the instantaneous velocity of a Brownian particle. Science 328, 1673 (2010)
O’Connell, A.D., et al.: Quantum ground state and single-phonon control of a mechanical resonator. Nature 464, 697–703 (2010)
Teufel, J.D., et al.: Sideband cooling of micromechanical motion to the quantum ground state. Nature 475, 359–363 (2011)
Chan, J., et al.: Laser cooling of a nanomechanical oscillator into its quantum ground state. Nature 478, 89–92 (2011)
Purdy, T.P., Peterson, R.W., Regal, C.A.: Observation of radiation pressure shot noise on a macroscopic object. Science 339, 801 (2013)
Purdy, T.P., Yu, P.-L., Peterson, R.W., Kampel, N.S., Regal, C.A.: Strong optomechanical squeezing of light. Phys. Rev. X. 3, 031012 (2013)
Matsumoto, N., Michimura, Y., Aso, Y., Tsubono, K.: Optically trapped mirror for reaching the standard quantum limit. Opt. Express 22, 12915 (2014)
Matsumoto, N., Komori, K., Michimura, Y., Hayase, G., Aso, Y., Tsubono, K.: 5-mg suspended mirror driven by measurement-induced backaction. Phys. Rev. A 92, 033825 (2015)
Braginsky, V.B., Manukin, A.: Ponderomotive effects of electromagnetic radiation. Sov. Phys. JETP 25, 653 (1967)
Braginsky, V.B., Gorodetsky, M.L., Khalili, F.Y.: Optical bars in gravitational wave antennas. Phys. Lett. A. 232, 340 (1997)
Braginsky, V.B., Khalili, F.Y.: Low noise rigidity in quantum measurements. Phys. Lett. A. 257, 241 (1999)
Sheard, B.S., Gray, M.B., Mow-Lowry, C.M., McClelland, D.E.: Observation and characterization of an optical spring. Phys. Rev. A. 69, 051801(R) (2004)
Corbitt, T., et al.: An all-optical trap for a gram-scale mirror. Phys. Rev. Lett. 98, 150802 (2007)
Dorsel, A., McCullen, J.D., Meystre, P., Vignes, E., Walther, H.: Optical bistability and mirror confinement induced by radiation pressure. Phys. Rev. Lett. 51, 17 (1983)
Braginsky, V.B., Vyatchanin, S.P.: Parametric oscillatory instability in Fabry-Perot interferometer. Phys. Lett. A. 287, 331–338 (2001)
Carmon, T., Rokhsari, H., Yang, L., Kippenberg, J., Vahala, J.: Temporal behavior of radiation-pressure-induced vibrations of an optical microcavity phonon mode. Phys. Rev. Lett. 94, 223902 (2005)
Sidles, J.A., Sigg, D.: Optical torques in suspended Fabry-perot interferometers. Phys. Lett. A. 354, 167–172 (2006)
Sakata, S., Miyakawa, O., Nishizawa, A., Ishizaki, H., Kawamura, S.: Measurement of angular antispring effect in optical cavity by radiation pressure. Phys. Rev. D. 81, 064023 (2010)
Heisenberg, W.: Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik. Z. Phys. 43, 172–198 (1927)
Braginsky, V.B., Khalili, T.Y.: Quantum Measurement. Cambridge University Press, Cambridge (1992)
Braginsky, V.B., Khalili, F.Y.: Quantum Measurements. Cambridge University Press, Cambridge (1995)
Caves, C.M.: Quantum-mechanical noise in an interferometer. Phys. Rev. D. 23, 8 (1981)
Kimble, H.J., Levin, Y., Matsko, A.B., Thorne, K.S., Vyatchanin, S.P.: Conversion of conventional gravitational-wave interferometers into quantum nondemolition interferometers by modifying their input and/or output optics. Phys. Rev. D. 65, 022002 (2001)
Goda, K., et al.: A quantum-enhanced prototype gravitational-wave detector. Nature Phys. 4, 472–476 (2008)
Buonanno, A., Chen, Y.: Optical noise correlations and beating the standard quantum limit in advanced gravitational-wave detectors. Class. Quant. Grav. 18, L95–L101 (2001)
Buonanno, A., Chen, Y.: Quantum noise in second generation, signal-recycled laser interferometric gravitational-wave detectors. Phys. Rev. D. 64, 042006 (2001)
Buonanno, A., Chen, Y.: Signal recycled laser-interferometer gravitational-wave detectors as optical springs. Phys. Rev. D. 65, 042001 (2002)
Braginsky, V.B., Vorontsov, Y.I., Thorne, K.S.: Quantum nondemolition measurements. Science 209, 4456 (1980)
Purdue, P., Chen, Y.: Practical speed meter designs for quantum nondemolition gravitational-wave interferometers. Phys. Rev. D. 66, 122004 (2002)
Chen, Y., Danilishin, S.L., Khalili, F.Y., Müller-Ebhardt, H.: QND measurements for future gravitational-wave detectors. Gen. Relativ. Gravit. 43, 671–694 (2011)
Müller-Ebhardt, H., Rehbein, H., Schnabel, R., Danzmann, K., Chen, Y.: Entanglement of macroscopic test masses and the standard quantum limit in laser interferometry. Phys. Rev. Lett. 100, 013601 (2008)
Mancini, S., Tombesi, P.: Quantum noise reduction by radiation pressure. Phys. Rev. A. 49, 5 (1994)
Fabre, C., et al.: Quantum-noise reduction using a cavity with a movable mirror. Phys. Rev. A. 49, 2 (1994)
Brooks, D.W.C., et al.: Non classical light generated by quantum-noise-driven cavity optomechanics. Nature 488, 476–480 (2012)
Safavi-Naeini, A.H., et al.: Squeezed light from a Silicon micromechanical resonator. Nature 500, 185–189 (2013)
Mancini, S., Giovannetti, V., Vitali, D., Tombesi, P.: Entangling macroscopic oscillators exploiting radiation pressure. Phys. Rev. Lett. 88, 12 (2002)
Pinard, M., et al.: Entangling movable mirrors in a double-cavity system. Europhys. 72, 747–753 (2005)
Mazzola, L., Paternostro, M.: Distributing fully optomechanical quantum correlations. Phys. Rev. A. 83, 062335 (2011)
Vitali, D., et al.: Optomechanical entanglement between a movable mirror and a cavity field. Phys. Rev. Lett. 98, 030405 (2007)
Paternostro, M., et al.: Creating and probing multipartite macroscopic entanglement with light. Phys. Rev. Lett. 99, 250401 (2007)
Joshi, C., Larson, J., Jonson, M., Andersson, E., Öhberg, P.: Entanglement of distant optomechanical systems. Phys. Rev. A. 85, 033805 (2012)
Mial, H., Danilishin, S., Chen, Y.: Universal quantum entanglement between an oscillator and continuous fields. Phys. Rev. Lett. 81, 052307 (2010)
Korneev, L.K., Tssander, F.A.: Problems of flight by jet propulsion interplanetary flights (1961)
Cole, G.D., Aspelmeyer, M.: Cavity optomechanics mechanical memory sees the light. Nat. Nanotechnol. 6, 690–691 (2011)
Wang, Y.-D., Clerk, A.: A using interference for high fidelity quantum state transfer in optomechanics. Phys. Rev. Lett. 108, 153603 (2012)
Stannigel, K., Rabl, P., Sørensen, A.S., Zoller, P., Lukin, M.D.: Optomechanical transducers for long-distance quantum communication. Phys. Rev. Lett. 105, 220501 (2010)
Weis, S., et al.: Optomechanically induced transparency. Science 330, 1520 (2010)
Zhang, J., Peng, K., Braunstein, L.: Quantum-state transfer from light to macroscopic oscillators. Phys. Rev. Lett. 68, 013808 (2003)
Palomaki, T.A., Harlow, J.W., Teuful, J.D., Simmonds, R.W., Lehnert, K.W.: Coherent state transfer between itinerant microwave fields and a mechanical oscillator. Nature 495, 14 (2013)
Tsuda, Y., et al.: Achievement of IKAROS—Japanese deep space solar sail demonstration mission. Acta Astronaut. 82, 183–188 (2013)
Harry, G.M., et al.: Advanced LIGO: the next generation of gravitational wave detectors. Class. Quant. Gravity 27, 084006 (2010)
Somiya, K.: Detector configuration of KAGRA-the Japanese cryogenic gravitational-wave detector. Class. Quant. Grav. 29, 12 (2012). (Aso, Y. et al. Interferometer design of the KAGRA gravitational wave detector. Phys. Rev. D. 88, 043007 (2013)). http://gwcenter.icrr.u-tokyo.ac.jp/en/. Accessed 9 Mar 2015
http://www.geo600.uni-hannover.de. Accessed 9 Mar 2015
http://wwwcascina.virgo.infn.it. Accessed 9 Mar 2015
Giessibl, F.J.: Advances in atomic force microscopy. Rev. Mod. Phys. 75, 949–983 (2003)
Westphal, T., et al.: Interferometer readout noise below the standard quantum limit of a membrane. Phys. Rev. A. 85, 063806 (2012)
Khalili, F.Y., et al.: Quantum back-action in measurements of zero-point mechanical oscillations. Phys. Rev. A. 86, 033840 (2012)
Braginsky, V.B., et al.: Noise in gravitational-wave detectors and other classical-force measurements is not influenced by test-mass quantization. Phys. Rev. D. 67, 082001 (2003)
Braginsky, V.B., Khalili, F.Y.: Quantum nondemolition measurements: the route from toys to tools. Rev. Mod. Phys. 68, 1–11 (1996)
Murch, K.W., Moore, K.L., Gupta, S., Stamper-Kurn, D.-M.: Observation of quantum-measurement backaction with an ultracold atomic gas. Nat. Phys. 4, 561–564 (2008). http://ultracold.physics.berkeley.edu/pmwiki/Main/E3. Accessed 9 Mar 2015
Safavi-Naeini, A.H., et al.: Observation of quantum motion of a nanomechanical resonator. Phys. Rev. Lett. 108, 033602 (2012)
Okutomi, A., Yamamoto, K., Miyoki, S., Ohashi, M., Kuroda, K.: Development of a radiation pressure noise interferometer. J. Phys.: Conf. Ser. 32, 327–332 (2006)
Mow-Lowry, C.M., et al.: Towards the SQL: status of the direct thermal-noise measurements at the ANU. J. Phys.: Conf. Ser. 32, 362–367 (2006)
Verlot, P., et al.: Towards the experimental demonstration of quantum radiation pressure noise. C. R. Phys. 12, 826–836 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer Japan
About this chapter
Cite this chapter
Matsumoto, N. (2016). Introduction. In: Classical Pendulum Feels Quantum Back-Action. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55882-8_1
Download citation
DOI: https://doi.org/10.1007/978-4-431-55882-8_1
Published:
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-55880-4
Online ISBN: 978-4-431-55882-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)