A quantum radiation pressure noise-free optical spring

321/5893/1172. [2] S. M. Girvin and F. Marquardt, Physics 2, 40 (2009), URL http://link.aps.org/doi/10.1103/Physics.2.40. [3] M. Aspelmeyer, P. Meystre, and K. Schwab, Physics Today 65, 29 (2012). [4] V. B. Braginsky and F. Y. Khalili, Quantum Measurement (Cambridge University Press, 1992). [5] B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, R. S. Amin, S. B. Anderson, W. G. Anderson, M. A. Arain, et al., Reports on Progress in Physics 72, 076901 (2009), URL http://stacks.iop.org/0034-4885/72/i= 7/a=076901. [6] 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, Nature 475, 359 (2011), ISSN 0028-0836, URL http://dx.doi.org/10.1038/nature10261. [7] A. D. O’Connell, Nature 464, 697 (2010), URL http://dx. doi.org/10.1038/nature08967. [8] J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Groblacher, M. Aspelmeyer, and O. Painter, Nature 478, 89 (2011). [9] S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, Science 330, 1520 (2010), http://www.sciencemag.org/content/330/6010/1520.full.pdf, URL http://www.sciencemag.org/content/330/6010/ 1520.abstract. [10] A. H. Safavi-Naeini, T. P. M. Alegre, J. Chan, M. Eichenfield, M. Winger, Q. Lin, J. T. Hill, D. E. Chang, and O. Painter, Nature 472, 69 (2011). [11] K.-J. Boller, A. Imamolu, and S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991), URL http://link.aps.org/doi/10.1103/ PhysRevLett.66.2593. [12] S. E. Harris, Physics Today 50, 36 (1997), URL http://link. aip.org/link/?PTO/50/36/1. [13] H. J. Kimble, Y. Levin, A. B. Matsko, K. S. Thorne, and S. P. Vyatchanin, Phys. Rev. D 65, 022002 (2001), URL http:// link.aps.org/doi/10.1103/PhysRevD.65.022002. [14] Y. Ma, S. Danilishin, W. Z. Korth, H. Miao, Y. Chen, and C. Zhao, In preparation (2012). [15] P. R. Saulson, Phys. Rev. D 42, 2437 (1990), URL http:// link.aps.org/doi/10.1103/PhysRevD.42.2437. [16] D. F. McGuigan, C. C. Lam, R. Q. Gram, A. W. Hoffman, D. H. Douglass, and H. W. Gutche, Journal of Low Temperature Physics 30, 621 (1978), ISSN 0022-2291, 10.1007/BF00116202, URL http://dx.doi.org/10.1007/ BF00116202. [17] A. Ageev, B. C. Palmer, A. D. Felice, S. D. Penn, and P. R. Saulson, Classical and Quantum Gravity 21, 3887 (2004), URL http://stacks.iop.org/0264-9381/21/i=16/a=004. [18] R. Mihailovich and N. MacDonald, Sensors and Actuators A: Physical 50, 199 (1995), ISSN 0924-4247, URL http://www.sciencedirect.com/science/article/ pii/0924424795010807. [19] G. D. Cole, I. Wilson-Rae, K. Werbach, M. R. Vanner, and M. Aspelmeyer, Nat. Commun. 2, 231 (2011). [20] C. Zener, Phys. Rev. 53, 90 (1938), URL http://link.aps. org/doi/10.1103/PhysRev.53.90. [21] A. Akhiezer, J. Phys. (Moscow) 1, 277 (1939). [22] G. M. Harry, A. M. Gretarsson, P. R. Saulson, S. E. Kittelberger, S. D. Penn, W. J. Startin, S. Rowan, M. M. Fejer, D. R. M. Crooks, G. Cagnoli, et al., Classical and Quantum Gravity 19, 897 (2002), URL http://stacks.iop.org/ 0264-9381/19/i=5/a=305. [23] V. Braginsky, M. Gorodetsky, and F. Khalili, Physics Letters A 232, 340 (1997), ISSN 0375-9601, URL http://www.sciencedirect.com/science/article/ pii/S0375960197004131. [24] V. Braginsky and F. Khalili, Physics Letters A 257, 241 (1999), ISSN 0375-9601, URL http://www.sciencedirect.com/ science/article/pii/S0375960199003370. [25] A. Buonanno and Y. Chen, Phys. Rev. D 65, 042001 (2002), URL http://link.aps.org/doi/10.1103/PhysRevD. 65.042001. [26] T. Corbitt, Y. Chen, E. Innerhofer, H. Müller-Ebhardt, D. Ottaway, H. Rehbein, D. Sigg, S. Whitcomb, C. Wipf, and N. Mavalvala, Phys. Rev. Lett. 98, 150802 (2007), URL http://link.aps.org/doi/10.1103/PhysRevLett.98. 150802. [27] T. Corbitt, C. Wipf, T. Bodiya, D. Ottaway, D. Sigg, N. Smith, S. Whitcomb, and N. Mavalvala, Phys. Rev. Lett. 99, 160801 (2007), URL http://link.aps.org/doi/10. 1103/PhysRevLett.99.160801. [28] D. E. Chang, K.-K. Ni, O. Painter, and H. J. Kimble, New Journal of Physics 14, 045002 (2012), URL http://stacks.iop. org/1367-2630/14/i=4/a=045002. [29] K.-K. Ni, R. Norte, D. J. Wilson, J. D. Hood, D. E. Chang, O. Painter, and H. J. Kimble, Phys. Rev. Lett. 108, 214302 (2012), URL http://link.aps.org/doi/10. 1103/PhysRevLett.108.214302. [30] J. D. Thompson, B. M. Zwickl, A. M. Jayich, F. Marquardt, S. M. Girvin, and J. G. E. Harris, Nature 452, 72 (2008). [31] F. Marquardt, J. P. Chen, A. A. Clerk, and S. M. Girvin, Phys. Rev. Lett. 99, 093902 (2007), URL http://link.aps.org/ doi/10.1103/PhysRevLett.99.093902. [32] I. Wilson-Rae, N. Nooshi, W. Zwerger, and T. J. Kippenberg, Phys. Rev. Lett. 99, 093901 (2007), URL http://link.aps. org/doi/10.1103/PhysRevLett.99.093901. [33] C. Genes, D. Vitali, P. Tombesi, S. Gigan, and M. Aspelmeyer, Phys. Rev. A 77, 033804 (2008), URL http://link.aps. org/doi/10.1103/PhysRevA.77.033804. [34] H. Miao, S. Danilishin, H. Müller-Ebhardt, and Y. Chen, New Journal of Physics 12, 083032 (2010), URL http://stacks. iop.org/1367-2630/12/i=8/a=083032. [35] G. J. Milburn and M. J. Woolley, Acta Physica Slovaca 61, 483 (2011).