An introduction to quantum optomechanics

Acta Physica Slovaca

Volumn 61, Issue 5, 2011, Pages 483-602

  Milburn, G J ^a   Woolley, M J ^b,c  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b MCGILL UNIVERSITY   (Canada)

^c UNIVERSITÉ DE SHERBROOKE   (Canada)

Author keywords

Micro electromechanical systems; Nanoelectromechanical systems; Quantum electromechanics; Quantum optics; Quantum optomechanics

Indexed keywords

EID: 84856897230     PISSN: 03230465     EISSN: None     Source Type: Journal    
DOI: 10.2478/v10155-011-0005-7     Document Type: Review

References (355)

1. D. G. Blair, D. E. McClelland, H. A. Bachor, R. J. Sandeman: The Detection of gravitational waves, Ed. D. G. Blair (Cambridge University Press, 1991) 43
2. B. C. Barish, C. Weiss: Physics Today 52 (1999) 44
3. V. B. Braginsky, F. Y. Khalilli and K. S. Thorne: Quantum Measurement Cambridge University Press (1995)
4. C. M. Caves, K. S. Thorne, R. W. P. Drever, V. D. Sandberg and M. Zimmermann,: Rev. Mod. Phys. 52 (1980) 342-391
5. T. Rocheleau, T. Ndukum, C. Macklin, J. B. Hertzberg, A. A. Clerk, K. C. Schwab: Nature 463 (2010) 72
6. M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, O. Painter: Nature 462 (2009) 78
7. A. Schliesser, T. J. Kippenberg: Advances in Atomic, Molecular and Optical Physics 58 (2010) 207
8. S. Gröblacher, K. Hammerer, M. R. Vanner, M. Aspelmeyer: Nature 460 (2009) 724
9. J. D. Teufel, D. Li, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, R. W. Simmonds: Nature 471 (2011) 204
10. F. Marquardt and S. M. Girvin. Optomechanics. Physics, 2:40, 2009.
11. M. P. Blencowe. Quantum electromechanical systems. Physics Reports, 395:159-222, 2004.
12. K. C. Schwab and M. L. Roukes. Putting mechanics into quantum mechanics. Physics Today, July 2005.
13. M. Poot and H. S. J. van der Zant. Mechanical systems in the quantum regime. arXiv:1106.2060.
14. J. P. Dowling and G. J. Milburn. Quantum technology: the second quantum revolution. Philosophical Transactions of the Royal Society of London, 361:1809, 2003.
15. A. J. Leggett. Testing the limits of quantum mechanics: motivation, state of play, prospects. Journal of Physics: Condensed Matter, 14:R415-R451, 2002.
16. K. L. Ekinci and M. L. Roukes. Nanoelectromechanical systems. Review of Scientific Instruments, 76:061101, 2005.
17. A. N. Cleland and M. L. Roukes. A nanometre-scale mechanical electrometer. Nature, 392:160, 1998.
18. Y. T. Yang, C. Callegari, X. L. Feng, K. L. Ekinci, and M. L. Roukes. Zeptogram-scale nanomechanical mass sensing. Nanotechnology Letters, 6:583, 2006.
19. A. K. Naik, M. S. Hanay, W. K. Hiebert, X. L. Feng, and M. L. Roukes. Towards single-molecule nanomechanical mass spectrometry. Nature Nanotechnology, 4:445-450, 2009.
20. H.-Y. Chiu, P. Hung, H. W. Ch. Postma, and M. Bockrath. Atomic-scale mass sensing using carbon nanotube resonators. Nano Letters, 8:4342-4346, 2008.
21. H. B. Peng, C. W. Chang, S. Aloni, T. D. Yuzvinsky, and A. Zettl. Ultrahigh frequency nanotube resonators. Physical Review Letters, 97:087203, 2006.
22. B. Lassagne, D. Garcia-Sanchez, A. Aguasca, and A. Bachtold. Ultrasensitive mass sensing with a nanotube electromechanical resonator. Nano Letters, 8:3735-3738, 2008.
23. P. Rabl, S. J. Kolkowitz, F. H. L. Koppens, J. G. E. Harris, P. Zoller, and M. D. Lukin. A quantum spin transducer based on nanoelectromechanical resonator arrays. Nature Physics, 6:602-608, 2010.
24. K. Stannigel, P. Rabl, A. S. Sorenson, P. Zoller, and M. D. Lukin. Opto-mechanical transducers for long-distance quantum communication. arXiv:1006.4361v1 [quant-ph].
25. D. Leibfried, R. Blatt, C. Monroe D. Wineland: Rev. Modern Phys. 75 (2003) 281
26. A. J. Leggett: Progress in Theor. Phys. (Suppl.) 69 (1980) 80
27. J. M. Martinis, M. H. Devoret, J. Clarke: Phys. Rev. B 35 (1987) 4682
28. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R. -S. Huang, J. Majer, S. Kumar, S. M. Girvin, R. J. Schoelkopf: Nature 431 (1987) 162
29. D. Hunger, S. Camerer, M. Korppi, A. Jöckel, T. W. Hänsch and P. Treutlein. Coupling ultracold atoms to mechanical oscillators. arXiv:1103.1820v1.
30. D. Hunger, S. Camerer, T. W. Hänsch, D. König, J. P. Kotthaus, J. Reichel and P. Treutlein. Resonant Coupling of a Bose-Einstein Condensate to a Micromechanical Oscillator. Physical Review Letters, 104:143002, 2010.
31. S. Camerer, M. Korppi, A. Jöckel, D. Hunger, T. W. Hänsch and P. Treutlein. Realization of an Optomechanical Interface Between Ultracold Atoms and a Membrane. Physical Review Letters 107:223001, 2011.
32. A. N. Cleland: Foundations of Nanomechanics (Springer, Berlin, 2003)
33. J. N. Reddy: Theory and analysis of elastic plates (Taylor and Francis, Philadelphia, 1999)
34. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger. Dynamics of the dissipative two-state system. Reviews of Modern Physics, 59:1-85, 1987.
35. P. Mohanty, D. A. Harrington, K. L. Ekinci, Y. T. Yang, M. J. Murphy, and M. L. Roukes. Intrinsic dissipation in high-frequency micromechanical resonators. Physical Review B, 66:085416, 2002.
36. M. Schlosshauer, A. P. Hines, and G. J. Milburn. Decoherence and dissipation of a quantum harmonic oscillator coupled to two-level systems. Physical Review A, 77:022111, 2008.
37. L. G. Remus, M. P. Blencowe, and Y. Tanaka. Damping and decoherence of a nanomechanical resonator due to a few two level systems. Physical Review B, 80:174103, 2009.
38. I. Wilson-Rae. Intrinsic dissipation in nanomechanical resonators due to phonon tunneling. Physical Review B, 77:245418, 2008.
39. G. D. Cole, I. Wilson-Rae, K. Werbach, M. R. Vanner and M. Aspelmeyer. Minimization of phonon-tunneling dissipation in mechanical resonators. Nature Communications, 2:231, 2011.
40. I. Wilson-Rae, R. A. Barton, S. S. Verbridge, D. R. Southworth, B. Ilic, H. G. Craighead and J. M. Parpia. High-Q Nanomechanics via Destructive Interference of Elastic Waves. Physical Review Letters, 106:047205, 2011.
41. C. W. Gardiner. Handbook of Stochastic Methods (2nd Ed.). Springer, Berlin, 1985.
42. C. W. Gardiner and P. Zoller. Quantum Noise (2nd Ed.). Springer, Berlin, 2000.
43. H. W. Ch. Postma, I. Kozinsky, A. Husain, and M. L. Roukes. Dynamic range of nanotube- and nanowire-based electromechanical systems. Applied Physics Letters, 86:223105, 2005.
44. S. I. Lee, S. W. Howell, A. Raman, and R. Reifenberger. Nonlinear dynamics of microcantilevers in tapping mode atomic force microscopy: A comparison between theory and experiment. Physical Review B, 66:115409, 2002.
45. D. Rugar and P. Grutter. Mechanical parametric amplification and thermomechanical noise squeezing. Physical Review Letters, 67:699, 1991.
46. B. Yurke, D. S. Greywall, A. N. Pargellis, and P. A. Busch. Theory of amplifier-noise evasion in an oscillator employing a nonlinear oscillator. Physical Review A, 51:4211-4229, 1995.
47. A. H. Nayfeh and D. T. Mook. Nonlinear Oscillations. Wiley, Cambridge, 1979.
48. D. F. Walls and G. J. Milburn. Quantum Optics (2nd Ed.). Springer, Berlin, 2007.
49. D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland. Generation of nonclassical motional state of a trapped atom. Physical Review Letters, 76:1796-1799, 1996.
50. C. Monroe, D. M. Meekhof, B. E. King, and D. J. Wineland. A "Schrödinger cat" superposition state of an atom. Science, 272:1131-1136, 1996.
51. C. J. Hood, T. W. Lynn, A. C. Doherty, A. S. Parkins, and H. J. Kimble. The atom-cavity microscope: single atoms bound in orbit by single photons. Science, 287:1447-1453, 2000.
52. J. D. Jost, J. P. Home, J. M. Amini, D. Hanneke, R. Ozeri, C. Langer, J. J. Bollinger, D. Leibfried, and D. J. Wineland. Entangled mechanical oscillators. Nature, 459:683-685, 2009.
53. K. R. Brown, C. Ospelkaus, Y. Colombe, A. C. Wilson, D. Liebfried and D. J. Wineland. Coupled quantized mechanical oscillators. Nature 471:196-199, 2011.
54. M. H. Anderson, J. H. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell. Observation of Bose-Einstein condensation in a dilute atomic vapour. Science, 269:198-201, 1995.
55. C. Orzel, A. K. Tuchman, M. L. Fenselau, M. Yasuda, and M. A. Kasevich. Squeezed states in a Bose-Einstein condensate. Science, 291:2386-2389, 2001.
56. K. W. Murch, K. L. Moore, S. Gupta, and D. M. Stamper-Kurn. Observation of quantum-measurement backaction with an ultracold atomic gas. Nature Physics, 4:561-564, 2008.
57. A. D. O'Connell, M. Hofheinz, M. Ansmann, R. C. Bialczak, M. Lenander, E. Lucero, M. Neeley, D. Sank, H. Wang, M. Weides, J. Wenner, J. M. Martinis, and A. N. Cleland. Quantum ground state and single-phonon control of a mechanical resonator. Nature, 464:697-703, 2010.
58. J. Chan, T. P. Mayer Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Groöblacher, M. Aspelmeyer and O. Painter. Laser cooling of a nanomechanical oscillator into its quantum ground state. Nature 478:89-92, 2011.
59. J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert and R. W. Simmonds. Sideband cooling of micromechanical motion to the quantum ground state Nature 475:359-363, 2011.
60. H.-W. Lee. Theory and application of the quantum phase-space distribution functions. Physics Reports, 259:147-211, 1995.
61. E. P. Wigner. On the quantum correction for thermodynamic equilibrium. Physical Review, 40:749, 1932.
62. R. J. Glauber. Coherent and incoherent states of the radiation field. Physical Review, 131:2766, 1963.
63. E. C. G. Sudarshan. Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams. Physical Review Letters, 10:277, 1963.
64. K. Husimi. Some formal properties of the density matrix. Proceedings of the Physical and Mathematical Society of Japan, 22:264-314, 1940.
65. R. J. Glauber. Quantum Optics and Electronics: lectures delivered at Les Houches during the 1964 session of the Summer School of Theoretical Physics, page 63. Gordon and Breach, 1965.
66. H. P. Breuer and F. Petruccione. The Theory of Open Quantum Systems (2nd Ed.). Oxford University Press, Oxford, 2002.
67. M. Schlosshauer. Decoherence: And the Quantum-to-Classical Transition. Springer, Berlin, 2008.
68. W. H. Zurek. Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse? Physical Review D, 24:1516-1525, 1981.
69. W. H. Zurek. Environment-induced superselection rules. Physical Review D, 26:1862-1880, 1982.
70. H. M. Wiseman and G. J. Milburn. Quantum Measurement and Control. Cambridge University Press, Cambridge, 2009.
71. E. Joos and H. D. Zeh. The emergence of classical properties through interaction with the environment. Zeitschrift für Physik B: Condensed Matter, 59:223-243, 1985.
72. J. P. Paz, S. Habib, and W. H. Zurek. Reduction of the wave packet: Preferred observable and decoherence time scale. Physical Review D, 47:488-501, 1993.
73. W. H. Zurek, S. Habib, and J. Paz. Coherent states via decoherence. Physical Review Letters, 70:1187, 1993.
74. J. P. Paz and W. H. Zurek. Quantum limit of decoherence: Environment induced superselection of energy eigenstates. Physical Review Letters, 82:5181-5185, 1999.
75. A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf. Introduction to Quantum Noise, Measurement and Amplification. Review of Modern Physics, 82:1155, 2010.
76. G. W. Ford, M. Kac, and P. Mazur. Statistical mechanics of assemblies of coupled oscillators. Journal of Mathematical Physics, 6:504, 1965.
77. M. J. Collett and C. W. Gardiner. Squeezing of intracavity and traveling-wave light fields produced in parametric amplification. Physical Review A, 30:1386-1391, 1984.
78. C. W. Gardiner and M. J. Collett. Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation. Physical Review A, 31:3761, 1985.
79. U. Weiss. Quantum Dissipative Systems. World Scientific, Singapore, 1999.
80. R. Feynman and F. L. Vernon. The theory of a general quantum system interacting with a linear dissipative system. Annals of Physics (N.Y.), 24:118-173, 1963.
81. A. O. Caldeira and A. J. Leggett. Path integral approach to quantum Brownian motion. Physica (Amsterdam), 121A:587, 1983.
82. A. O. Caldeira and A. J. Leggett. Quantum tunneling in a dissipative system. Annals of Physics (N.Y.), 149:374, 1983.
83. C. M. Caves. Quantum mechanics of measurements distributed in time. A path-integral formulation.Physical Review D, 33:1643-1665, 1986.
84. V. Gorini, A. Frigerio, M. Verri, A. Kossokowski, and E. C. G. Sudarshan. Properties of quantum Markovian master equations. Reports on Mathematical Physics, 13:149-173, 1978.
85. G. Lindblad. On the generators of quantum dynamical semigroups. Communications in Mathematical Physics, 48:119-130, 1976.
86. A. O. Caldeira, H. A. Cerdeira, and R. Ramaswamy. Limits of weak damping of a quantum harmonic oscillator. Physical Review A, 40:3438, 1989.
87. I. Wilson-Rae: Phys. Rev. B 77 (2008) 245418
88. L. G. Remus, M. P. Blencowe, Y. Tanaka: Phys. Rev. B 80 (2009) 174103
89. G D Cole, I Wilson-Rae, K Werbach, M R Vanner, M Aspelmeyer: Nature Communications 2 (2010) 231
90. A. B. Matsko, E. A. Zubova, and S. P. Vyatchanin. The value of the force of radiative friction. Optics Communications, 131:107-113, 1996.
91. K. Karrai, I. Favero, and C. Metzger. Doppler optomechanics of a photonic crystal. Physical Review Letters, 100:240801, 2010.
92. J. Mertz, O. Marti, and J. Mlynek. Regulation of a microcantilever response by force feedback. Applied Physics Letters, 62:2344, 1993.
93. E. F. Nichols and G. F. Hull. A Preliminary Communication on the Pressure of Heat and Light Radiation. Physical Review (Series I), 13:307-320, 1901.
94. P. Lebedev. Untersuchungen über die Druckkräfte des Lichtes. Annalen der Physik (Leipzig), 6:433, 1901.
95. A. Dorsel, J. D. McCullen, P. Meystre, E. Vignes, and H. Walther. Optical bistability and mirror confinement induced by radiation pressure. Physical Review Letters, 51:1550, 1983.
96. V. B. Braginsky, A. B. Manukin, and M. Y. Tikhonov. Investigation of dissipative ponderomotive effects of electromagnetic radiation. Soviet Physics JETP, 31:829, 1970.
97. M. Dykman. Heating and cooling of local and quasilocal vibrations by a nonresonance field. Soviet Physics Solid State, 20:1306-1311, 1978.
98. G. Bahl, J. Zehnpfennig, M. Tomes and T. Carmon. Stimulated optomechanical excitation of surface acoustic waves in a microdevice. Nature Communications 2:403, 2011.
99. G. Bahl, M. Tomes, F. Marquardt and T. Carmon. Observation of Spontaneous Brillouin Cooling. arXiv:1109.2084.
100. J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris. Strong dispersive coupling of a high-finesse cavity to a micromechanical membrane. Nature, 452:72-75, 2008.
101. A. Ashkin. Acceleration and Trapping of Particles by Radiation Pressure. Physical Review Letters, 24:156-159, 1970.
102. D. Van Thourhout and J. Roels. Optomechanical device actuation through the optical gradient force.Nature Photonics, 4:211-217, 2010.
103. A. F. Pace, M. J. Collett, and D. F. Walls. Quantum limits in interferometric detection of gravitational radiation. Physical Review A, 47:3173-3189, 1993.
104. G. J. Milburn, K. Jacobs, and D. F. Walls. Quantum-limited measurements with the atomic force microscope. Physical Review A, 50:5256, 1994.
105. C. K. Law. Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation. Physical Review A, 51:2537-2541, 2008.
106. S. Gigan, H. R. Böhm, M. Paternostro, F. Blaser, G. Langer, J. B. Hertzberg, K. C. Schwab, D. Bäuerle, M. Aspelmeyer, A. Zeilinger: Nature 44 (2006) 67
107. J. Chan, M. Eichenfield, R. Camacho, O. Painter: Opt. Express 17 (2009) 3802
108. S. Gröblacher, K. Hammerer, M. R. Vanner, and M. Aspelmeyer. Observation of strong coupling between a micromechanical resonator and an optical cavity field. Nature, 460:724-727, 2009.
109. A. M. Jayich, J. C. Sankey, B. M. Zwickl, C. Yang, J. D. Thompson, S. M. Girvin, A. A. Clerk, F. Marquardt, and J. G. E. Harris. Dispersive optomechanics: a membrane inside a cavity. New Journal of Physics, 10:095008, 2008.
110. J. D. Thompson, B. M. Zwickl, A. M. Jayichl, F. Marquardt, S. M. Girvin, J. G. E. Harris: Nature 452 (2008) 72
111. J. C Sankey, C Yang, B. M Zwickl, A. M Jayich, J. G. E Harris: Nature Physics 6 (2010) 707
112. C. M. Caves, Thorne KS, R. W. P. Drever, M. Zimmermann, V. D. Sandberg: Rev. Mod. Phys.52 (1980) 341
113. D.F. Walls, G.J. Milburn: Phys. Rev. A 31 (1985) 2403
114. A. A. Clerk, F. Marquardt and K. Jacobs: New J. Phys. 10 (2008) 095010
115. F. Elste, S. M. Girvin, and A. A. Clerk. Quantum noise interference and backaction cooling in cavity nanomechanics. Physical Review Letters, 102:207209, 2009.
116. M. Li, W. H. P. Pernice, and H. X. Tang. Reactive cavity optical force on microdiskcoupled nanomechanical beam waveguides. Physical Review Letters, 103:223901, 2009.
117. K. S. Thorne. Gravitational Waves. In Proceedings of the Snowmass 95 Summer Study on Particle and Nuclear Astrophysics and Cosmology, 1995.
118. LIGO. LIGO: The Laser Interferometer Gravitational-wave Observatory. Science, 256:325, 1992.
119. LIGO. LIGO: The Laser Interferometer Gravitational-Wave Observatory. Reports of Progress in Physics, 72:076901, 2009.
120. LIGO. Observation of a kilogram-scale oscillator near its quantum ground state. New Journal of Physics, 11:073032, 2009.
121. The LIGO Scientific Collaboration. A gravitational wave observatory operating beyond the quantum shot-noise limit. Published online 11 September, 2011.
122. B. S. Sheard, M. B. Gray, C. M. Mow-Lowry, and D. E. McClelland. Observation and characterization of an optical spring. Physical Review A, 69:051801(R), 2004.
123. T. Corbitt, Y. Chen, E. Innerhofer, H. Müller-Ebhardt, D. Ottaway, H. Rehbein, D. Sigg, S. Whitcomb, C. Wipf, and N. Mavalvala. An all-optical trap for a gram-scale mirror. Physical Review Letters, 98:150802, 2007.
124. T. Corbitt, C. Wipf, T. Bodiya, D. Ottaway, D. Sigg, N. Smith, S. Whitcomb, and N. Mavalvala. Optical dilution and feedback cooling of a gram-scale oscillator to 6.9mK. Physical Review Letters, 99:160801, 2007.
125. C. M. Mow-Lowry, A. J. Mullavey, S. Goßler, M. B. Gray, and D. E. McClelland. Cooling of a gram-scale cantilever flexure to 70 mK with a servo-modified optical spring. Physical Review Letters, 100:010801, 2008.
126. P. F. Cohadon, A. Heidmann, and M. Pinard. Cooling of a mirror by radiation pressure. Physical Review Letters, 83:3174, 1999.
127. O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann. Radiation-pressure cooling and optomechanical instability of a micromirror. Nature, 444:71, 2006.
128. D. Kleckner and D. Bouwmeester. Sub-Kelvin optical cooling of a micromechanical resonator. Nature, 444:71, 2006.
129. S. Gigan, H. R. Böhm, M. Paternostro, F. Blaser, G. Langer, J. B. Hertzberg, K. C. Schwab, D. Bäuerle, M. Aspelmeyer, and A. Zeilinger. Self-cooling of a micromirror by radiation pressure. Nature, 444:67, 2006.
130. S. Gröblacher, J. B. Hertzberg, M. R. Vanner, S. Gigan, K. C. Schwab, and M. Aspelmeyer. Demonstration of an ultracold micro-optomechanical oscillator in a cryogenic cavity. Nature Physics, 5:485-488, 2009.
131. D. J. Wilson, C. A. Regal, S. B. Papp, and H. J. Kimble. Cavity optomechanics with stoichiometric SiN films. Physical Review Letters, 103:207204, 2009.
132. M. Li, W. H. P. Pernice, C. Xiong, T. Baehr-Jones, M. Hochberg, and H. X. Tang. Harnessing optical forces in integrated photonic circuits. Nature, 456:480-484, 2008.
133. M. Eichenfield, C. P. Michael, R. Perahia, and O. Painter. Actuation of microoptomechanical systems via cavity-enhanced optical dipole forces. Nature Photonics, 1:416-422, 2007.
134. M. Poggio, C. L. Degen, H. J. Mamin, and D. Rugar. Feedback cooling of a cantilever's fundamental mode below 5mK. Physical Review Letters, 99:017201, 2007.
135. G. Anetsberger, O. Arcizet, Q. P. Unterreithmeier, E. M. Weig, J. P. Kotthaus, and T. J. Kippenberg. Near-field cavity optomechanics with nanomechanical oscillators. Nature Physics, 5:909-914, 2009.
136. K. H. Lee, T. G. McRae, G. I. Harris, J. Knittel, and W. P. Bowen. Cooling and control of a cavity optoelectromechanical system. Physical Review Letters, 104:123604, 2010.
137. Y. Hadjar, P. F. Cohadon, C. G. Aminoff, M. Pinard, and A. Heidmann. Highsensitivity optical measurement of mechanical Brownian motion. Europhysics Letters, 47:545, 1999.
138. I. Tittonen, G. Breitenbach, T. Kalkbrenner, T. Müller, R. Conradt, and S. Schiller. Interferometric measurements of the position of a macroscopic body: Towards observation of quantum limits. Physical Review A, 59:1038-1044, 1999.
139. O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, A. Heidmann, J.-M. Mackowski, C. Michel, L. Pinard, O. Francais, and L. Rousseau. High-sensitivity optical monitoring of an optomechanical resonator with a quantum-limited optomechanical sensor. Physical Review Letters, 97:133601, 2006.
140. C. Hohberger Metzger and K. Karrai. Cavity cooling of a microlever. Nature, 432:1002-1005, 2004.
141. J. C. Sankey, C. Yang, B. M. Zwickl, A. M. Jayich, and J. G. E. Harris. Strong and tunable nonlinear optomechanical coupling in a low-loss system. Nature Physics, Advance Online Publication, 2010.
142. T. P. Purdy, D. W. C. Brooks, T. Botter, N. Brahms, Z.-Y. Ma and D. M. Stamper-Kurn. Tunable Cavity Optomechanics with Ultracold Atoms. Physical Review Letters 105:133602, 2010.
143. D. W. C. Brooks, T. Botter, N. Brahms, T. P. Purdy, S. Schreppler D. M. Stamper-Kurn. Ponderomotive light squeezing with atomic cavity optomechanics. arXiv:1107.5609v1.
144. N. Brahms, T. Botter, S. Schreppler, D. W. C. Brooks and D. M. Stamper-Kurn. Backaction-limited cavity-sideband spectroscopy of quantum collective motion. arXiv:1109.5233v1.
145. O. Romero-Isart, A. C. Pflanzer, M. L. Juan, R. Quidant, N. Kiesel, M. Aspelmeyer, J. Ignacio Cirac. Optically Levitating Dielectrics in the Quantum Regime: Theory and Protocols. Physical Review A 83:013803 (2011).
146. D. E. Chang, C. A. Regal, S. B. Papp, D. J. Wilson, J. Ye, O. Painter, H. J. Kimble and P. Zoller. Cavity opto-mechanics using an optically levitated nanosphere. Proc. Natl. Acad. Sci. 107:1005-1010 (2010).
147. T. Li, S. Kheifets and M. Raizen. Millikelvin cooling of an optically trapped microsphere in vacuum. Nature Physics 7, 527-530, 2011.
148. O. Romero-Isart, M. L. Juan, R. Quidant and J. I. Cirac. Toward quantum superposition of living organisms. New Journal of Physics 12:033015, 2011.
149. T. Carmon, H. Rokhsari, L. Yang, T. J. Kippenberg, and K. J. Vahala. Temporal behaviour of radiation-pressure-induced vibrations of an optical microcavity phonon mode. Physical Review Letters, 94:223902, 2005.
150. K. J. Vahala. Optical microcavities. Nature, 424:839, 2003.
151. D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala. Ultra-high-Q toroid microcavity on a chip. Nature, 421:925, 2003.
152. T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala. Analysis of radiation-pressure induced mechanical oscillation of an optical microcavity. Physical Review Letters, 95:033901, 2005.
153. A. Schliesser, P. Del'Haye, N. Nooshi, K. J. Vahala, and T. J. Kippenberg. Radiaton pressure cooling of a micromechanical oscillator using dynamical backaction. Physical Review Letters, 97:243905, 2006.
154. A. Schliesser, R. Riviere, G. Anetsberger, O. Arcizet, and T. J. Kippenberg. Resolved-sideband cooling of a micromechanical oscillator. Nature Physics, 4:415-419, 2008.
155. R. Rivière, S. Deléglise, S. Weis, E. Gavartin, O. Arcizet, A. Schliesser and T. J. Kippenberg. Optomechanical sideband cooling of a micromechanical oscillator close to the quantum ground state. Physical Review A 83, 063835, 2011.
156. A. Schliesser, O. Arcizet, R. Riviere, and T. J. Kippenberg. Resolved-sideband cooling and position measurement of a micromechanical oscillator close to the heisenberg uncertainty limit. Nature Physics, 5:509-514, 2009.
157. G. Anetsberger, R. Rivière, A. Schliesser, O. Arcizet, and T. J. Kippenberg. Ultralowdissipation optomechanical resonators on a chip. Nature Photonics, 2:627-633, 2008.
158. S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg. Optomechanically Induced Transparency. Science, 330:1520-1523, 2010.
159. J. Hofer, A. Schliesser, and T. J. Kippenberg. Cavity optomechanics with ultra-high Q crystalline micro-resonators. arXiv:0911.1178v2 [physics.optics].
160. Y.-S. Park and H. Wang. Resolved-sideband and cryogenic cooling of an optomechanical resonator. Nature Physics, 5:489-493, 2009.
161. D. E. Chang, C. A. Regal, S. B. Papp, D. J. Wilson, J. Ye, O. Painter, H. J. Kimble, and P. Zoller. Cavity opto-mechanics using an optically levitated nanosphere. Proceedings of the National Academy of Sciences, 107:1005-1010, 2010.
162. M. A. Taylor, A. Szorkovksy, J. Knittel, K. H. Lee, T. G. McRae and W. P. Bowen. Cavity optoelectromechanical regenerative amplification. arXiv:1107.0779v1.
163. G. I. Harris, U. L. Andersen, J. Knittel and W. P. Bowen. Feedback Enhanced Sensitivity in Optomechanics: Surpassing the Parametric Instability Barrier. arXiv:1109.2381v1.
164. T. G. McRae and W. P. Bowen. Near threshold all-optical backaction amplifier. arXiv:1109.2004v1.
165. Q. Lin, J. Rosenberg, X. Jiang, K. J. Vahala, and O. Painter. Mechanical oscillation and cooling actuated by the optical gradient force. Physical Review Letters, 103:103601, 2009.
166. I. S. Grudinin, O. Painter, and K. J. Vahala. Phonon laser action in a tunable two-level system. Physical Review Letters, 104:083901, 2010.
167. M. Li, W. H. P. Pernice, and H. X. Tang. Broadband all-photonic transduction of nanocantilevers. Nature Nanotechnology, 4:377-382, 2009.
168. M. Bagheri, M. Poot, M. Li, W. P. H. Pernice and H. X. Tang. Dynamic manipulation of mechanical resonators in the high-amplitude regime and non-volatile mechanical memory operation. Nature Nanotechnology 6:726-732, 2011.
169. M. Li, W. H. P. Pernice, and H. X. Tang. Tunable bipolar optical interactions between guided lightwaves. Nature Photonics, 3:464-468, 2009.
170. J. Roels, I. De Vlaminck, L. Lagae, B. Maes, D. Van Thorhaut, and R. Baets. Tunable optical forces between nanophotonic waveguides. Nature Nanotechnology, 4:510-513, 2009.
171. G. S. Wiederhecker, L. Chen, A. Gondarenko, and M. Lipson. Controlling photonic structures using optical forces. Nature, 462:633-636, 2009.
172. M. Eichenfield, R. Camacho, J. Chan, K. J. Vahala, and O. Painter. A picogram- and nanometre-scale photonic-crystal optomechanical cavity. Nature, 459:550-555, 2009.
173. Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter. Coherent mixing of mechanical excitations in nano-optomechanical systems. Nature Photonics, 4:236-242, 2010.
174. M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter. Optomechanical crystals. Nature, 462:78-82, 2009.
175. Z. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang, C. T. Chan and P. Sheng. Locally Resonant Sonic Materials. Science 289:1734-1736, 2000.
176. A. H. Safavi-Naeini, T. P. Mayer Alegre, J. Chan, M. Eichenfield, M. Winger, Q. Lin, J. T. Hill, D. E. Chang and O. Painter. Electromagnetically induced transparency and slow light with optome-chanics. Nature 472:69-73, 2011.
177. A. H. Safavi-Naeini, J. Chan, J. T. Hill, T. P. Mayer Alegre, A. Krause and O. Painter. Measurement of the zero-point motion of a nanomechanical resonator. arXiv:1108.4680v1.
178. T. P. Mayer Alegre, A. Safavi-Naeini, M. Winger and O. Painter. Quasi-two-dimensional optomechanical crystals with a complete phononic bandgap. Optics Express 19(6):5658-5669, 2011.
179. O. Arcizet, V. Jacques, A. Siria, P. Poncharal, P. Vincent and S. Seidelin. A single nitrogen-vacancy defect coupled to a nanomechanical oscillator. Nature Physics 7:879-883, 2011.
180. M. Winger, T. Blasius, T. P. Mayer Alegre, A. H. Safavi-Naeini, S. Meenahan, J. Cohen, S. Stobbe and O. Painter. A chip-scale integrated cavity-electro-optomechanics platform. arXiv:1111.4602v1.
181. G. Anetsberger, E. Gavartin, O. Arcizet, Q. P. Unterreithmeier, E. M. Weig, M. L. Gorodetsky, J. P. Kotthaus, T. J. Kippenberg. Measuring nanomechanical motion with an imprecision far below the standard quantum limit. arXiv:1003.3752v1 [quant-ph], 2010.
182. E. D. Black. An introduction to Pound-Drever-Hall laser frequency stabilization. American Journal of Physics, 69:79-87, 2001.
183. L. Conti, M. De Rosa, F. Marin, L. Taffarello, and M. Cerdonio. Room temperature gravitational wave bar detector with optomechanical readout. Journal of Applied Physics, 93:3589-3595, 2003.
184. Q. P. Unterreithmeyer, T. Faust, S. Manus, and J. P. Kotthaus. On-chip interferometric detection of nanomechanical motion. Nano Letters, 10:887-890, 2010.
185. J. M. Dobrindt and T. J. Kippenberg. Theoretical analysis of mechanical displacement measurement using a multiple cavity mode transducer. Physical Review Letters, 104:033901, 2010.
186. C. M. Caves. Quantum-mechanical radiation-pressure fluctuations in an interferometer. Physical Review Letters, 45:75, 1980.
187. T. J. Kippenberg and K. J. Vahala Cavity optomechanics: Back-action at the mesoscale. Science, 321:1172-1176, 2008.
188. A. Schliesser, G. Anetsberger, R. Rivière, O. Arcizet, and T. J. Kippenberg. High-sensitivity monitoring of micromechanical vibration using whispering gallery mode resonators. New Journal of Physics, 10:095015, 2008.
189. W. G. Unruh. Quantum Noise in the Interferometer Detector. In Quantum Optics, Experimental Gravitation and Measurement Theory, pages 647-660. Plenum Press, 1983.
190. J. Weber. Detection and generation of gravitational waves. Physical Review, 117:306, 1960.
191. S. P. Boughn, W. M. Fairbank, R. P. Giffard, J. N. Hollenhorst, M. S. McAshen, H. J. Paik, and R. C. Taber. Observation of mechanical Nyquist noise in a cryogenic gravitational-wave antenna. Physical Review Letters, 38:454, 1977.
192. NAUTILUS. First cooling below 0.1K of the new gravitational-wave antenna NAUTILUS of the Rome group. Europhysics Letters, 16:231-235, 1991.
193. M. E. Tobar and D. G. Blair. Parametric transducers for resonant bar gravitational wave antennae.Journal of Physics D: Applied Physics, 26:2276, 1993.
194. V. B. Braginsky, A. B. Manukin, E. I. Popov, V. N. Rudenko, and A. A. Khorev. An upper limit on the density of gravitational radiation of electromagnetic origin. Soviet Physics JETP, 39:387, 1974.
195. K. Tsubono, S. Hiramatsu, and H. Hirakawa. Cavity transducer for subatomic mechanical vibration.Japanese Journal of Applied Physics, 16:1641-1645, 1977.
196. D. G. Blair, E. N. Ivanov, M. E. Tobar, P. J. Turner, F. van Kann, and I. S. Heng. High sensitivity gravitational wave antenna with parametric transducer readout. Physical Review Letters, 74:1908, 1995.
197. H. J. Paik. Superconducting tunable-diaphragm transducer for sensitive acceleration measurements.Journal of Applied Physics, 47:1168-1178, 1976.
198. ROG. Long-term operation of the Rome "Explorer" cryogenic gravitational wave detector. Physical Review D, 47:362-375, 1993.
199. AURIGA. Initial operation of the gravitational wave detector AURIGA. In Gravitational Waves: Proceedings of the Second Edoardo Amaldi Conference, pages 148-158, 1997.
200. ALLEGRO. The ALLEGRO gravitational wave detector: Data acquisition and analysis. Physical Review D, 54:1264, 1996.
201. W. W. Johnson and M. Bocko. Approaching the quantum "limit" for force detection. Physical Review Letters, 47:1184-1187, 1981.
202. M. F. Bocko and W. W. Johnson. Phase-sensitive parametric motion transducer. Physical Review A, 30:2135, 1984.
203. M. F. Bocko and W. W. Johnson. Surpassing the amplifier limit for force detection. Physical Review Letters, 48:1371-1374, 1982.
204. AURIGA. Feedback cooling of the normal modes of a massive electromechanical system to submillikelvin temperature. Physical Review Letters, 101:033601, 2008.
205. K. E. Petersen. Silicon as a mechanical material. Proceedings of the IEEE, 70:420, 1982.
206. A. N. Cleland and M. L. Roukes. Fabrication of high frequency nanometer scale mechanical resonators from bulk Si crystals. Applied Physics Letters, 69:2653-2655, 1996.
207. D. W. Carr and H. G. Craighead. Fabrication of nanoelectromechanical systems in single crystal silicon using silicon on insulator substrates and electron beam lithography. Journal of Vacuum Science and Technology B, 15:2760-2763, 1997.
208. Y. T. Yang, K. L. Ekinci, X. M. H. Huang, L. M. Schiavone, M. L. Roukes, C. A. Zorman, and M. Mehregany. Monocrystalline silicon carbide nanoelectromechanical systems. Applied Physics Letters, 78:162-164, 2001.
209. X. M. H. Huang, C. A. Zorman, M. Mehregany, and M. L. Roukes. Nanodevice motion at microwave frequencies. Nature, 421:496, 2003.
210. A. N. Cleland, M. Pophristic, and I. Ferguson. Single-crystal aluminum nitride nanomechanical resonators. Applied Physics Letters, 79:2070-2072, 2001.
211. L. Sekaric, D. W. Carr, S. Evoy, J. M. Parpia, and H. G. Craighead. Nanomechanical resonant structures in silicon nitride: fabrication, operation and dissipation issues. Sensors and Actuators A -Physical, 101:215-219, 2002.
212. T. F. Li, Y. A. Pashkin, O. Astafiev, Y. Nakamura, J. S. Tsai, and H. Im. High-frequency metallic nanomechanical resonators. Applied Physics Letters, 92:043112, 2008.
213. A. B. Hutchinson, P. A. Truitt, K. C. Schwab, L. Sekaric, J. M. Parpia, H. G. Craighead, and J. E. Butler. Dissipation in nanocrystalline-diamond nanomechanical resonators. Applied Physics Letters, 84:972-974, 2004.
214. N. E. Flowers-Jacobs, D. R. Schmidt, and K. W. Lehnert. Intrinsic noise properties of atomic point contact displacement detectors. Physical Review Letters, 98:096804, 2007.
215. X. L. Feng, R. R. He, P. D. Yang, and M. L. Roukes. Very high frequency silicon nanowire electromechanical resonators. Nano Letters, 7:1953-1959, 2007.
216. I. Kozinsky, H. W. Ch. Postma, I. Bargatin, and M. L. Roukes. Tuning nonlinearity, dynamic range, and frequency of nanomechanical resonators. Applied Physics Letters, 88:253101, 2006.
217. S. S. Verbridge, D. Finkelstein Shapiro, H. G. Craighead, and J. M. Parpia. Macroscopic tuning of nanomechanics: Substrate bending for reversible control of frequency and quality factor of nanostring resonators. Nano Letters, 7:1728-1735, 2007.
218. B. Reulet, A. Y. Kasumov, M. Kociak, R. Deblock, I. I. Khodos, Y. B. Gorbatov, V. T. Volkov, C. Journet, and H. Bouchiat. Acoustoelectric effects in carbon nanotubes. Physical Review Letters, 85:2829-2832, 2000.
219. V. Sazonova, Y. Yaish, H. Ustenel, D. Roundy, T. A. Arias, and P. L. McEuen. A tunable carbon nanotube electromechanical oscillator. Nature, 431:284-287, 2004.
220. B. Witkamp, M. Poot, and H. S. J. van der Zant. Bending-mode vibration of a suspended nanotube resonator. Nano Letters, 6:2904-2908, 2006.
221. A. K. Huettel, G. A. Steele, B. Witkamp, M. Poot, L. P. Kouwenhoven, and H. S. J. van der Zant. Carbon nanotubes as ultra-high quality factor mechanical resonators. Nano Letters, 9:2547-2552, 2009.
222. J. S. Bunch, A. M. van der Zande, S. S. Verbridge, I. W. Frank, D. M. Tanenbaum, J. M. Parpia, H. G. Craighead, and P. L. McEuen. Electromechanical resonators from graphene sheets. Science, 315:490-493, 2007.
223. J. C. Meyer, M. Paillet, and S. Roth. Single-molecule torsional pendulum. Science, 309:1539-1541, 2005.
224. D. S. Greywall, B. Yurke, P. A. Busch, A. N. Pargellis, and R. L. Willett. Evading amplifier noise in nonlinear oscillators. Physical Review Letters, 72:2992-2995, 1994.
225. D. W. Carr, S. Evoy, L. Sekaric, H. G. Craighead, and J. M. Parpia. Measurement of mechanical resonance and losses in nanometer scale silicon wires. Applied Physics Letters, 75:920-922, 1999.
226. Q. P. Unterreithmeier, E. M. Weig, and J. P. Kotthaus. Universal transduction scheme for nanome-chanical systems based on dielectric forces. Nature, 458:1001-1004, 2009.
227. S. C. Masmanidis, R. B. Karabalin, I. De Vlaminck, G. Borghs, M. R. Freeman, and M. L. Roukes. Multifunctional nanomechanical systems via tunably coupled piezoelectric actuation. Science, 317:780-783, 2007.
228. W. J. Venstra and H. S. J. van der Zant. Efficient readout of micromechanical resonator arrays in ambient conditions. Applied Physics Letters, 93:234106, 2008.
229. A. Naik, O. Buu, M. D. LaHaye, A. D. Armour, A. A. Clerk, M. P. Blencowe, and K. C. Schwab. Cooling a nanomechanical resonator with quantum backaction. Nature, 443:193, 2006.
230. S. Etaki, M. Poot, I. Mahboob, K. Onomitsu, H. Yamaguchi, and H. S. J. van der Zant. Motion detection of a micromechanical resonator embedded in a d.c. SQUID. Nature Physics, 4:785-788, 2008.
231. M. Poggio, M. P. Jura, C. L. Degen, M. A. Topinka, H. J. Mamin, D. Goldhaber-Gordon, and D. Rugar. An off-board quantum point contact as a sensitive detector of cantilever motion. Nature Physics, 4:635-638, 2008.
232. A. N. Cleland, J. S. Aldridge, D. C. Driscoll, and A. C. Gossard. Nanomechanical displacement sensing using a quantum point contact. Applied Physics Letters, 81:1699-1701, 2002.
233. D. Garcia-Sanchez, A. San Paulo, M. J. Esplandiu, F. Perez-Murano, L. Forró, A. Aguasca, and A. Bachtold. Mechanical detection of carbon nanotube resonator vibrations. Physical Review Letters, 99:085501, 2007.
234. U. Kemiktarak, T. Ndukum, K. C. Schwab, and K. L. Ekinci. Radio-frequency scanning tunneling microscopy. Nature, 450:85-88, 2007.
235. R. G. Knobel and A. N. Cleland. Nanometre-scale displacement sensing using a SET. Nature, 424:291, 2003.
236. M. D. LaHaye, O. Buu, B. Camarota, and K. C. Schwab. Approaching the quantum limit of a nanomechanical resonator. Science, 304:74, 2004.
237. G. A. Steele, A. K. Hüttel, B. Witkamp, M. Poot, H. B. Meerwaldt, L. P. Kouwenhoven, and H. S. J. van der Zant. Strong coupling between single-electron tunneling and nanomechanical motion. Science, 325:1103-1107, 2009.
238. H. S. Solanki, S. Sengupta, S. Dhara, V. Singh, S. Patil, R. Dhall, J. Parpia, A. Bhattacharya, and M. M. Deshmukh. Tuning mechanical modes and influence of charge screening in nanowire resonators. Physical Review B, 81:115459, 2010.
239. M. Tortonese, R. C. Barrett, and C. F. Quate. Atomic resolution with an atomic force microscope using piezoresistive detection. Applied Physics Letters, 62:834, 1993.
240. T. Itoh and T. Suga. Scanning force microscope using a piezoelectric microcantilever. Journal of Vacuum Science and Technology B, 12:1581, 1994.
241. I. Bargatin, E. B. Myers, J. Arlett, B. Gudlewski, and M. L. Roukes. Sensitive detection of nanomechanical motion using piezoresistive signal downmixing. Applied Physics Letters, 86:133109, 2005.
242. R. He, X. L. Feng, M. L. Roukes, and P. Yang. Self-transducing silicon nanowire electromechanical systems at room temperature. Nano Letters, 8:1756-1761, 2008.
243. R. G. Beck, M. A. Eriksson, M. A. Topinka, R. M. Westervelt, K. D. Marnowski, and A. C. Gossard. GaAs/AlGaAs self-sensing cantilevers for low temperature scanning probe microscopy. Applied Physics Letters, 73:1149-1151, 1998.
244. J. Stettenheim, M. Thalakulam, F. Pan, M. Bal, Z. Jhi, W. Zhu, L. Pfeiffer, K. W. West, M. P. Blencowe, and A. J. Rimberg. A macroscopic mechanical resonator driven by mesoscopic electrical back-action. Nature, 466:86-90, 2010.
245. C. A. Regal, J. D. Teufel, and K. W. Lehnert. Measuring nanomechanical motion with a microwave cavity interferometer. Nature Physics, 4:555-560, 2008.
246. J. D. Teufel, T. Donner, M. A. Castellanos-Beltran, J. W. Harlow, and K. W. Lehnert. Nanome-chanical motion measured with an imprecision below that at the standard quantum limit. Nature Nanotechnology, 4:820-823, 2009.
247. J. B. Hertzberg, T. Rocheleau, T. Ndukum, M. Savva, A. A. Clerk, and K. C. Schwab. Back-action-evading measurements of nanomechanical motion. Nature Physics, 6:213-217, 2010.
248. P. A. Truitt, J. B. Hertzberg, C. C. Huang, K. L. Ekinci, and K. C. Schwab. Efficient and sensitive capacitive readout of nanomechanical resonator arrays. Nano Letters, 7:120-126, 2007.
249. K. R. Brown, J. Britton, R. J. Epstein, J. Chiaverini, D. Leibfried, and D. J. Wineland. Passive cooling of a micromechanical oscillator with a resonant electric circuit. Physical Review Letters, 99:137205, 2007.
250. T. Faust, P. Krenn, S. Manus, J. P. Kotthaus and E. M. Weig. Microwave cavity-enhanced transduction for plug and play nanomechanics at room temperature. arXiv:1109.1156v1.
251. F. Massel, T. T. Heikkilä, J. M. Pirkkalainen, S. U. Cho, H. Suloniemi, P. Hakonen and M. A. Sillanpää. Microwave amplification with nanomechanical resonators. arXiv:1107.4903v1.
252. M. Poot, S. Etaki, I. Mahboob, K. Onomitsu, H. Yamaguchi, Ya. M. Blanter and H. S. J. van der Zant Tunable backaction of a DC SQUID on an integrated micromechanical resonator. Physical Review Letters 105:207203, 2010.
253. M. D. LaHaye, J. Suh, P. M. Echternach, K. C. Schwab, and M. L. Roukes. Nanomechanical measurements of a superconducting qubit. Nature, 459:960-964, 2009.
254. J. Suh, M. D. LaHaye, P. M. Echternach, K. C. Schwab and M. L. Roukes. Parametric Amplification and Back-Action Noise Squeezing by a Qubit-Coupled Nanoresonator Nano Letters 10:3990-3994, 2010.
255. A. Cho. The First Quantum Machine Science 330:1604, 2010.
256. A. D. O'Connell, M. Hofheinz, M. Ansmann, R. C. Bialczak, M. Lenander, E. Lucero, M. Neeley, D. Sank, H. Wang, M. Weides, J. Wenner, J. M. Martinis, A. N. Cleland: Nature 464 (2010) 697
257. C. J. Pethick, H. Smith: Bose-Einstein Condensation in DIlute Gases (Cambridge University Press 2008)
258. O. Arcizet, P. -F. Cohadon, T. Briant, M. Pinard, A. Heidmann: Nature 44 (2006) 71
259. D. Kleckner, D. Bouwmeester: Nature 44 (2006) 75
260. J. M. W. Milatz and J. J. van Zolingen. The Brownian motion of electrometers. Physica (Amsterdam), 19:181, 1953.
261. J. M. W. Milatz, J. J. van Zolingen, and B. B. van Iperen. The reduction of the Brownian motion of electrometers. Physica (Amsterdam), 19:195, 1953.
262. T. Hansch and A. Schawlow. Cooling of gases by laser radiation. Optics Communications, 13:68, 1975.
263. + Mono-Ion Oscillator III. Bulletin of the American Physical Society, 20:637, 1975.
264. W. Neuhauser, M. Hohenstatt, P. Toschek, and H. Dehmelt. Optical-sideband cooling of visible atom cloud confined in parabolic well. Physical Review Letters, 41:233-236, 1978.
265. J. D. Teufel, J. W. Harlow, C. A. Regal, and K. W. Lehnert. Dynamical backaction of microwave fields on a nanomechanical oscillator. Physical Review Letters, 101:197203, 2008.
266. T. Rocheleau, T. Ndukum, C. Macklin, J. B. Hertzberg, A. A. Clerk, and K. C. Schwab. Preparation and detection of a mechanical resonator near the ground state of motion. Nature, 463:72-75, 2010.
267. V. B. Braginsky and S. P. Vyatchanin. Low quantum noise tranquilizer for Fabry-Pe ́rot interferometer. Physics Letters A, 293:228, 2002.
268. S. Mancini, D. Vitali, and P. Tombesi. Optomechanical cooling of a macroscopic oscillator by homodyne feedback. Physical Review Letters, 80:688, 1998.
269. D. Vitali, S. Mancini, L. Ribichini, and P. Tombesi. Mirror quiescence and high-sensitivity position measurements with feedback. Physical Review A, 65:063803, 2002.
270. C. Genes, D. Vitali, P. Tombesi, S. Gigan, and M. Aspelmeyer. Ground-state cooling of a microme-chanical oscillator: Comparing cold damping and cavity-assisted cooling schemes. Physical Review A, 77:033804, 2008.
271. F. Marquardt, J. P. Chen, A. A. Clerk, and S. M. Girvin. Quantum theory of cavity-assisted sideband cooling of mechanical motion. Physical Review Letters, 99:093902, 2007.
272. I. Wilson-Rae, N. Nooshi, W. Zwerger, and T. J. Kippenberg. Theory of ground state cooling of a mechanical oscillator using dynamical back-action. Physical Review Letters, 99:093901, 2007.
273. E. Verhagen, S. Deléglise, S. Weis, A. Schliesser and T. J. Kippenberg. Quantum-coherent coupling of a mechanical oscillator to an optical cavity mode. arXiv:1107.3761v1.
274. P. Rabl, C. Genes, K. Hammerer, and M. Aspelmeyer. Phase-noise induced limitations in resolved-sideband cavity cooling of mechanical resonators. Physical Review A, 80:063819, 2009.
275. I. Wilson-Rae, N. Nooshi, J. Dobrindt, T. J. Kippenberg, and W. Zwerger. Cavity-assisted back action cooling of mechanical resonators. New Journal of Physics, 10:095007, 2008.
276. A. Hopkins, K. Jacobs, S. Habib, and K. Schwab. Feedback cooling of a nanomechanical resonator.Physical Review B, 68:235328, 2003.
277. J. Zhang, Y. Liu, and F. Nori. Cooling and squeezing the fluctuations of a nanomechanical beam by indirect quantum feedback control. Physical Review A, 79:052102, 2009.
278. J. D. Teufel, D. Li, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker and R. W. Simmonds.Circuity cavity electromechanics in the stong-coupling regime Nature 471:204-208, 2011.
279. S. Zippilli, G. Morigi, and A. Bachtold. Cooling carbon nanotubes to the phononic ground state with a constant electron current. Physical Review Letters, 102:096804, 2009.
280. I. Wilson-Rae, P. Zoller, and A. Imamoglu. Laser cooling of a nanomechanical resonator mode to its quantum ground state. Physical Review Letters, 92:075507, 2004.
281. F. W. J. Hekking, A. O Niskanen, and J. P. Pekola. Electron-phonon coupling and longitudinal mechanical-mode cooling in a metallic nanowire. Physical Review B, 77:033401, 2008.
282. G. Sonne, M. E. Pena-Aza, L. Y. Gorelik, R. I. Shekhter, and M. Jonson. Cooling of a suspended nanowire by an ac Josephson current flow. Physical Review Letters, 104:226802, 2010.
283. I. Martin, A. Shnirman, L. Tian, and P. Zoller. Ground-state cooling of mechanical resonators. Physical Review B, 69:125339, 2004.
284. J. Hauss, A. Fedorov, S. André, V. Brosco, C. Hutter, R. Kothari, S. Yeshwanth, A. Shnirman, and G. Schön. Dissipation in circuit quantum electrodynamics: lasing and cooling of a low-frequency oscillator. New Journal of Physics, 10:095018, 2008.
285. K. Jaehne, K. Hammerer, and M. Wallquist. Ground-state cooling of a nanomechanical resonator via a Cooper-pair box qubit. New Journal of Physics, 10:095019, 2008.
286. I. Wilson-Rae, N. Nooshi, W. Zwerger, T. J. Kippenberg: Phys. Rev. Lett. 99 (2007) 093901
287. R. Rivière, S. Deleglise, S. Weis, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg: Phys.Rev. A 83 (2011) 063835
288. T. Rocheleau, T. Ndukum, C. Macklin, J. B Hertzberg, A. A Clerk, K. C Schwab: Nature 463 (2010) 72
289. J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, R. W. Simmonds: Nature 475 (2011) 359
290. C. W. Gardiner and P. Zoller: Quantum Noise (Springer Berlin, 2010)
291. D.F. Walls, G.J. Milburn: Quantum Optics (Springer Berlin 2008)
292. D. Bozyigit, C. Lang, L. Steffen, J. M. Fink, M. Baur, R. Bianchetti, P. J. Leek, S. Filipp, M. P. da Silva, A. Blais, A. Wallraff arxiv:1002.3738 (2010)
293. M. J. Woolley, A. C. Doherty, G. J. Milburn, K. C. Schwab: Phys. Rev. A 78 (2008) 062303
294. M. D. Eisaman, J. Fan, A. Migdall, and S. V. Polyakov: Rev. Sci. Instr. 82 (2011) 071101
295. C Eichler, D Bozyigit, C Lang, L Steffen, J Fink, A Wallraff: Phys. Rev. Letts. 106 (2011) 220503
296. M. Hofheinz, H. Wang, M. Ansmann, R. C. Bialczak, E. Lucero, M. Neeley, A. D. O'Connell, D. Sank, J. Wenner, J. M. Martinis, A. N. Cleland: Nature 459 (2009) 546
297. G J Milburn: Eur. Phys. J. Special Topics 159 (2008) 113
298. U. Akram, N Kiesel, M Aspelmeyer, G J Milburn: New J. Physics 12 (2010) 083030
299. H. J. Carmichael: Phys. Rev. Lett. 70 (1993) 2273
300. C. W. Gardiner-: Phys. Rev. Lett. 70 (1993) 2269
301. H. P. Specht, J. Bochmann, M. Mücke, B. Weber, E. Figueroa, D. L. Moehring, G. Rempe: Nature Photonics 3 (2009) 469
302. M. Born. Zur quantenmechanik der stoβvorgänge. Zeitschrift für Physik, 37:863-867, 1926.
303. J. von Neumann. Matematische Grundlagen der Quantenmechanik. Verlag Julius Springer, Berlin, 1932 (reprinted as Mathematical Foundations of Quantum Mechanics, Princeton University Press, Princeton, 1983).
304. V. B. Braginsky and F. Y. Khalilli. Quantum Measurement. Cambridge University Press, Cambridge, 1992.
305. C. M. Caves and G. J. Milburn. Quantum-mechanical model for continuous position measurements.Physical Review A, 36:5543, 1987.
306. K. Krauss. States, Effects and Operations: Fundamental Notions of Quantum Theory. Springer-Verlag, Berlin, 1983.
307. A. Barchielli, L. Lanz, and G. M. Prosperi. A model for the macroscopic description and continual observations in quantum mechanics. Nuovo Cimento B, 72:79, 1982.
308. C. M. Caves. Quantum mechanics of measurements distributed in time. II. Connections among formulations. Physical Review D, 35:1815, 1987.
309. W. Heisenberg. Über den anschulichen Inhalt der quantentheoretischen Kinematik und Mechanik. Zeitschrift für Physik, 43:172-198, 1927.
310. W. Heisenberg. Die physikalischen Prinzipien der Quantentheorie. Bibliograph. Inst., Berlin, 1930(reprinted as Physical Principles of Quantum Theory, Dover, New York, 1949).
311. H. P. Robertson. The Uncertainty Principle. Physical Review, 34:163, 1929.
312. E. Arthurs and M. S. Goodman. Quantum correlations: A generalized Heisenberg uncertainty relation. Physical Review Letters, 60:2447, 1988.
313. V. B. Braginsky. Classical and quantum restrictions on the detection of weak disturbances of a macroscopic oscillator. Soviet Physics JETP, 26:831, 1968.
314. M. Tsang and C. M. Caves. Physical Review Letters, 105:123601, 2010.
315. K. Jacobs and D. A. Steck. A straightforward introduction to continuous quantum measurement. Contemporary Physics, 47:279, 2006.
316. H. Carmichael. An Open Systems Approach to Quantum Optics. Springer, Berlin, 1993.
317. V. P. Belavkin. Information, Complexity and Control in Quantum Physics, page 311. Springer-Verlag, Vienna, 1987.
318. A. C. Doherty, S. M. Tan, A. S. Parkins, and D. F. Walls. State determination in continuous measurement. Physical Review A, 60:2380, 1999.
319. V. B. Braginsky and Yu. I. Vorontsov. Quantum-mechanical limitations in macroscopic experiments and modern experimental technique. Soviet Physics Uspekhi, 17:644, 1975.
320. V. Braginsky, Y. I. Vorontsov, and K. P. Thorne. Quantum nondemolition measurements. Science, 209:547, 1980.
321. V. B. Braginsky and F. Y. Khalili. Quantum nondemolition measurements: the route from toys to tools. Reviews of Modern Physics, 68:1-11, 1996.
322. M. D. Levenson, R. M. Shelby, M. Reid, and D. F. Walls. Quantum nondemolition detection of optical quadrature amplitudes. Physical Review Letters, 57:2473, 1986.
323. C. Guerlin, J. Bernu, S. Deliglise, C. Sayrin, S. Gleyzes, S. Kuhr, M. Brune, J. M. Raimond, and S. Haroche. Progressive field-state collapse and quantum non-demolition photon counting. Nature, 448:889-893, 2007.
324. V. B. Braginsky, Yu. I. Vorontsov, and F. Y. Khalili. Quantum singularities of a ponderomotive meter of electromagnetic energy. Soviet Physics JETP, 46:705, 1977.
325. C. M. Caves, K. S. Thorne, R. W. P. Drever, V. D. Sandberg, and M. Zimmermann. On the measurement of a weak classical force coupled to a quantum-mechanical oscillator. I. Issues of principle. Reviews of Modern Physics, 52:341-392, 1980.
326. K. S. Thorne, R. W. P. Drever, C. M. Caves, M. Zimmermann, and V. D. Sandberg. Physical Review Letters, 40:667-671, 1978.
327. C. M. Caves. Quantum limits on noise in linear amplifiers. Physical Review D, 26:1817-1839, 1982.
328. A. A. Clerk. Quantum-limited position detection and amplification: a linear response perspective. Physical Review B, 70:245306, 2004.
329. A. A. Clerk, S. M. Girvin, and A. D. Stone. Quantum-limited measurement and information in mescoscopic detectors. Physical Review B, 67:165324, 2003.
330. H. M. Wiseman, G. J. Milburn: Quantum Measurement and Control (Cambridge University Press, 2010)
331. M. P. da Silva, D. Bozyigit, A. Wallraff, A. Blais: Phys. Rev. A 82 (2010) 043804 (2010).
332. B. Abdo, F. Schackert, M. Hatridge, C. Rigetti, and M. Devoret: Appl. Phys. Lett. 99 (2011) 162506
333. M. A. Castellanos-Beltran and K. W. Lehnert: Appl. Phys. Lett. 91 (2007) 083509
334. J. L. Arlett, J. R. Maloney, B. Gudlewski, M. Muluneh, and M. L. Roukes: Nano Letters 6 (2006) 1000
335. D. Rugar, R. Budakian, H. J. Mamin, B. Chui: Nature 430 (2004) 6997 (2004).
336. J. D Teufel, T Donner, M. A Castellanos-Beltran, J. W Harlow, K. W Lehnert: Nature Nanotechnol ogy 4 (2009) 820
337. N. Yazdi, F. Ayazi, K. Najafi: Proceedings of the IEEE 86 (1998) 1640
338. S. Boixo, S. T. Flammia, C. M. Caves, J. M. Geremia: Phys. Rev. Lett. 98 (2007) 090401
339. C. W. Helstrom: Quantum Detection and Estimation Theory (Academic Press, 1976)
340. V. Giovannetti, S. Lloyd, L. Maccone: Phys. Rev. Lett. 96 (2006) 010401
341. V. Giovannetti, S. Lloyd, L. Maccone: Science 306 (2004) 1330
342. M. J. Woolley, G. J. Milburn, C. M. Caves: New J. Physics 10 (2008) 12501
343. M. Kitagawa, Y. Yamamoto: Phys. Rev. A 34 (1986) 3974
344. S. Boixo, A. Datta, S. T. Flammia, A. Shaji, E. Bagan, C. M. Caves: Phys. Rev. A 77 (2008) 012317
345. A. Gangat, G. J. Milburn: New J.Phys. 13 (2011) 043024
346. W.H. Zurek: Phys. Rev. D 24 (1981) 1516
347. J. F. Rhoads, S. W. Shaw, K. L.Turner: Journal of Dynamic Systems, Measurement, and Control 132 (2010) 034001
348. N. Kacem, S. Hentz, D. Pinto, B. Reig and V. Nguyen: Nanotechnology 20 (2009) 275501
349. I. Kozinsky, H. W. Ch. Postma, O. Kogan, A. Husain, M. L. Roukes: Phys. Rev. Lett. 99 (2007) 207201
350. P. D. Drummond D. F. Walls: J. Phys. A 13 (1980) 725
351. E. Babourina-Brooks, A Doherty and G J Milburn: New J. Physics 10 (2008) 105020
352. C. A. Holmes, C. P. Meaney, G. J. Milburn, arXiv:1105.2086 (2011).
353. F. Marquardt, J. G. E. Harris, S. M. Girvin, Phys. Rev. Lett., 96, 103901, (2006).
354. G. Heinrich, M. Ludwig, J. Qian, B. Kubala, F. Marquardt, arXiv:1007.4819, (2010).
355. F. Mueller, S. Heugel, L. J. Wang, Phys. Rev. A,77 031802 (2008).