Quantum-state preparation and macroscopic entanglement in gravitational-wave detectors

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 4, 2009, Pages

  Müller Ebhardt, Helge ^a   Rehbein, Henning ^a   Li, Chao ^b   Mino, Yasushi ^b   Somiya, Kentaro ^c   Schnabel, Roman ^a   Danzmann, Karsten ^a   Chen, Yanbei ^b,c  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL NOISE; EIGENFREQUENCY; GAUSSIAN ENTANGLEMENT; GAUSSIAN QUANTUM STATE; GRAVITATIONAL WAVE DETECTORS; GW DETECTORS; HEISENBERG; LASER INTERFEROMETER; LOW NOISE; MACROSCOPIC ENTANGLEMENT; MACROSCOPIC QUANTUM; MACROSCOPIC TESTS; MATHEMATICAL FOUNDATIONS; NOISE SPECTRA; QUANTUM-MECHANICAL BEHAVIOR; STANDARD QUANTUM LIMITS; STATE PREPARATION; WIENER FILTERING;

BUDGET CONTROL; DETECTORS; FREQUENCY BANDS; GRAVITATION; GRAVITY WAVES; INTERFEROMETERS; LASER INTERFEROMETRY;

QUANTUM ENTANGLEMENT;

EID: 70349915939     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.043802     Document Type: Article

References (68)

1. B. Abbott, Nucl. Instrum. Methods Phys. Res. A 517, 154 (2004). 10.1016/j.nima.2003.11.124
2. L. D. Fiore and The VIRGO Collaboration, Class. Quantum Grav. 19, 1421 (2002). 10.1088/0264-9381/19/7/325 (Pubitemid 37035268)
3. B. Willke, Class. Quantum Grav. 19, 1377 (2002). 10.1088/0264-9381/19/7/ 321 (Pubitemid 37035264)
4. M. Ando and The TAMA Collaboration, Phys. Rev. Lett. 86, 3950 (2001). 10.1103/PhysRevLett.86.3950 (Pubitemid 32443912)
5. Advanced LIGO Reference Design, LIGO Technical Report No. M060056, 2007, (unpublished) http://www.ligo.caltech.edu/docs/M/M060056-08/M060056-08.pdf
6. C. M. Caves, K. S. Thorne, R. W. Drever, V. D. Sandberg, and M. Zimmermann, Rev. Mod. Phys. 52, 341 (1980). 10.1103/RevModPhys.52.341
7. V. B. Braginsky and F. Y. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, 1999).
8. V. B. Braginsky, Sov. Phys. JETP 26, 831 (1968).
9. H. J. Kimble, Y. Levin, A. B. Matsko, K. S. Thorne, and S. P. Vyatchanin, Phys. Rev. D 65, 022002 (2001). 10.1103/PhysRevD.65.022002
10. J.-M. Courty, A. Heidmann, and M. Pinard, Phys. Rev. Lett. 90, 083601 (2003). 10.1103/PhysRevLett.90.083601
11. F. Y. Khalili, Phys. Lett. A 298, 308 (2002). 10.1016/S0375-9601(02) 00578-9
12. P. Purdue, Phys. Rev. D 66, 022001 (2002). 10.1103/PhysRevD.66.022001
13. P. Purdue and Y. Chen, Phys. Rev. D 66, 122004 (2002). 10.1103/PhysRevD.66.122004 (Pubitemid 44628063)
14. Y. Chen, Phys. Rev. D 67, 122004 (2003). 10.1103/PhysRevD.67.122004 (Pubitemid 44652462)
15. J. Harms, Y. Chen, S. Chelkowski, A. Franzen, H. Vahlbruch, K. Danzmann, and R. Schnabel, Phys. Rev. D 68, 042001 (2003). 10.1103/PhysRevD.68.042001 (Pubitemid 44628119)
16. F. Y. Khalili, Phys. Lett. A 317, 169 (2003). 10.1016/S0375-9601(03) 01136-8
17. S. L. Danilishin, Phys. Rev. D 69, 102003 (2004). 10.1103/PhysRevD.69. 102003
18. A. Buonanno and Y. Chen, Phys. Rev. D 69, 102004 (2004). 10.1103/PhysRevD.69.102004
19. T. Corbitt, N. Mavalvala, and S. E. Whitcomb, Phys. Rev. D 70, 022002 (2004). 10.1103/PhysRevD.70.022002 (Pubitemid 44962482)
20. S. L. Danilishin and F. Y. Khalili, Phys. Rev. D 73, 022002 (2006). 10.1103/PhysRevD.73.022002
21. F. Y. Khalili, Phys. Rev. D 76, 102002 (2007). 10.1103/PhysRevD.76.102002
22. F. Y. Khalili, Phys. Rev. D 77, 062003 (2008). 10.1103/PhysRevD.77.062003
23. H. Rehbein, H. Müller-Ebhardt, K. Somiya, C. Li, R. Schnabel, K. Danzmann, and Y. Chen, Phys. Rev. D 76, 062002 (2007). 10.1103/PhysRevD.76. 062002
24. H. Rehbein, H. Müller-Ebhardt, K. Somiya, S. L. Danilishin, R. Schnabel, K. Danzmann, and Y. Chen, Phys. Rev. D 78, 062003 (2008). 10.1103/PhysRevD.78.062003
25. S. Miyoki, T. Uchiyama, K. Yamamoto, H. Hayakawa, K. Kasahara, H. Ishitsuka, M. Ohashi, K. Kuroda, and D. Tatsumi, Class. Quantum Grav. 21, 1173 (2004). 10.1088/0264-9381/21/5/116
26. A. Bunkowski, O. Burmeister, D. Friedrich, K. Danzmann, and R. Schnabel, Class. Quantum Grav. 23, 7297 (2006). 10.1088/0264-9381/23/24/007
27. R. O'Shaughnessy, Class. Quantum Grav. 23, 7627 (2006). 10.1088/0264-9381/23/24/N01
28. M. Bondarescu and K. S. Thorne, Phys. Rev. D 74, 082003 (2006). 10.1103/PhysRevD.74.082003 (Pubitemid 44537132)
29. M. Evans, S. Ballmer, M. Fejer, P. Fritschel, G. Harry, and G. Ogin, Phys. Rev. D 78, 102003 (2008). 10.1103/PhysRevD.78.102003
30. H. J. Kimble, B. L. Lev, and J. Ye, Phys. Rev. Lett. 101, 260602 (2008). 10.1103/PhysRevLett.101.260602
31. B. Abbott, New J. Phys. 11, 073032 (2009). 10.1088/1367-2630/11/7/073032
32. P. F. Cohadon, A. Heidmann, and M. Pinard, Phys. Rev. Lett. 83, 3174 (1999). 10.1103/PhysRevLett.83.3174
33. J.-M. Courty, A. Heidmann, and M. Pinard, Eur. Phys. J. D 17, 399 (2001). 10.1007/s100530170014 (Pubitemid 33580751)
34. A. Naik, O. Buu, M. D. LaHaye, A. D. Armour, A. A. Clerk, M. P. Blencowe, and K. C. Schwab, Nature (London) 443, 193 (2006). 10.1038/nature05027 (Pubitemid 44389350)
35. D. Kleckner and D. Bouwmeester, Nature (London) 444, 75 (2006). 10.1038/nature05231 (Pubitemid 44684757)
36. T. Corbitt, C. Wipf, T. Bodiya, D. Ottaway, D. Sigg, N. Smith, S. Whitcomb, and N. Mavalvala, Phys. Rev. Lett. 99, 160801 (2007). 10.1103/PhysRevLett.99.160801 (Pubitemid 47613365)
37. M. Poggio, C. L. Degen, H. J. Mamin, and D. Rugar, Phys. Rev. Lett. 99, 017201 (2007). 10.1103/PhysRevLett.99.017201 (Pubitemid 47146337)
38. C. M. Mow-Lowry, A. J. Mullavey, S. Gossler, M. B. Gray, and D. E. McClelland, Phys. Rev. Lett. 100, 010801 (2008). 10.1103/PhysRevLett.100.010801
39. A. Vinante, Phys. Rev. Lett. 101, 033601 (2008). 10.1103/PhysRevLett.101. 033601
40. S. Mancini, D. Vitali, and P. Tombesi, Phys. Rev. Lett. 80, 688 (1998). 10.1103/PhysRevLett.80.688
41. S. Danilishin, H. Müller-Ebhardt, H. Rehbein, K. Somiya, R. Schnabel, K. Danzmann, T. Corbitt, C. Wipf, N. Mavalvala, and Y. Chen, e-print arXiv:0809.2024.
42. C. H. Metzger and K. Karrai, Nature (London) 432, 1002 (2004). 10.1038/nature03118 (Pubitemid 40052225)
43. S. Gigan, H. Böhm, M. Paternostro, F. Blaser, G. Langer, J. Hertzberg, K. Schwab, D. Bäuerle, M. Aspelmeyer, and A. Zeilinger, Nature (London) 444, 67 (2006). 10.1038/nature05273 (Pubitemid 44684755)
44. O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, Nature (London) 444, 71 (2006). 10.1038/nature05244 (Pubitemid 44684756)
45. 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). 10.1103/PhysRevLett.98.150802 (Pubitemid 46589316)
46. V. Braginsky, S. Strigin, and S. P. Vyatchanin, Phys. Lett. A 287, 331 (2001). 10.1016/S0375-9601(01)00510-2
47. G. J. Milburn, Quantum Semiclassic. Opt. 8, 269 (1996). 10.1088/1355-5111/8/1/019
48. A. C. Doherty, S. M. Tan, A. S. Parkins, and D. F. Walls, Phys. Rev. A 60, 2380 (1999). 10.1103/PhysRevA.60.2380
49. A. Hopkins, K. Jacobs, S. Habib, and K. Schwab, Phys. Rev. B 68, 235328 (2003). 10.1103/PhysRevB.68.235328
50. C. W. Gardiner and P. Zoller, Quantum Noise, 3rd ed. (Springer-Verlag, Berlin, 2004).
51. A. Buonanno and Y. Chen, Phys. Rev. D 65, 042001 (2002). 10.1103/PhysRevD.65.042001 (Pubitemid 44628526)
52. R. E. Kalman, J. Basic Eng. 82, 35 (1960).
53. N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series (MIT Press, Cambridge, MA, 1949).
54. H. Müller-Ebhardt, H. Rehbein, R. Schnabel, K. Danzmann, and Y. Chen, Phys. Rev. Lett. 100, 013601 (2008). 10.1103/PhysRevLett.100.013601
55. H. Miao, S. Danilishin, H. Müller-Ebhardt, H. Rehbein, K. Somiya, and Y. Chen, e-print arXiv:0905.3729.
56. A. Barchielli, Int. J. Theor. Phys. 32, 2221 (1992). 10.1007/BF00672994
57. L. Bouten, R. van Handel, and M. James, SIAM J. Control Optim. 46, 2199 (2007). 10.1137/060651239
58. C. M. Caves, Phys. Rev. D 23, 1693 (1981). 10.1103/PhysRevD.23.1693
59. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935). 10.1103/PhysRev.47.777
60. A. Furusawa, J. L. Soerensen, S. L. Braunstein, C. A. Fuchs, H. J. Kimble, and E. S. Polzik, Science 282, 706 (1998). 10.1126/science.282.5389.706 (Pubitemid 28489377)
61. W. P. Bowen, R. Schnabel, P. K. Lam, and T. C. Ralph, Phys. Rev. Lett. 90, 043601 (2003). 10.1103/PhysRevLett.90.043601
62. G. Vidal and R. F. Werner, Phys. Rev. A 65, 032314 (2002). 10.1103/PhysRevA.65.032314
63. A. F. Pace, M. J. Collett, and D. F. Walls, Phys. Rev. A 47, 3173 (1993). 10.1103/PhysRevA.47.3173 (Pubitemid 23667265)
64. A. Buonanno and Y. Chen, Phys. Rev. D 64, 042006 (2001). 10.1103/PhysRevD.64.042006 (Pubitemid 33796117)
65. A. Buonanno and Y. Chen, Phys. Rev. D 67, 062002 (2003). 10.1103/PhysRevD.67.062002 (Pubitemid 44628727)
66. http://www.ligo.mit.edu/bench/bench.html (Version 4.0)
67. R. Adhikari (private communication).
68. W. H. Zurek, S. Habib, and J. P. Paz, Phys. Rev. Lett. 70, 1187 (1993). 10.1103/PhysRevLett.70.1187