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General Relativity and Gravitation

, Volume 43, Issue 2, pp 671–694 | Cite as

QND measurements for future gravitational-wave detectors

  • Yanbei Chen
  • Stefan L. DanilishinEmail author
  • Farid Ya. Khalili
  • Helge Müller-Ebhardt
Review Article

Abstract

Second-generation interferometric gravitational-wave detectors will be operating at the Standard Quantum Limit (SQL), a sensitivity limitation set by the trade off between measurement accuracy and quantum back action, which is governed by the Heisenberg Uncertainty Principle. We review several schemes that allows the quantum noise of interferometers to surpass the SQL significantly over a broad frequency band. Such schemes may be an important component of the design of third-generation detectors.

Keywords

Gravitational-wave detectors Quantum Non-Demolition (QND) measurement Standard Quantum Limit (SQL) beating Optical rigidity Quantum speed meter Intracavity schemes 

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References

  1. 1.
    Waldman S.J.: (for the LIGO Science Collaboration): Class. Quantum Gravity 23, S653 (2006)Google Scholar
  2. 2.
    Acernese F. et al.: Class. Quantum Gravity 23, S635 (2006)zbMATHCrossRefADSGoogle Scholar
  3. 3.
    Hild S.: (for the LIGO Science Collaboration): Class. Quantum Gravity 23, S643 (2006)Google Scholar
  4. 4.
    Ando M.: the TAMA Collaboration: Class. Quantum Gravity 22, S881 (2005)Google Scholar
  5. 5.
    Thorne, K.S.: The scientific case for mature ligo interferometers. LIGO document P000024-00-R. www.ligo.caltech.edu/docs/P/P000024-00.pdf (2000)
  6. 6.
    Fritschel, P.: Second generation instruments for the laser interferometer gravitational-wave observatory (LIGO). In: Gravitational Wave Detection, Proc. SPIE, vol. 4856-39, p. 282 (2002)Google Scholar
  7. 7.
    J R Smith for the LIGO Scientific Collaboration. arXiv:0902.0381 (2009)Google Scholar
  8. 8.
    Acernese F. et al.: J. Phys. Conf. Ser. 32, s223 (2006)CrossRefADSGoogle Scholar
  9. 9.
    Willke B. et al.: Class. Quantum Gravity 23, S207 (2006)CrossRefADSGoogle Scholar
  10. 10.
    Braginsky V.B., Khalili F.Ya.: Quantum Measurement. Cambridge University Press, Cambridge (1992)zbMATHCrossRefGoogle Scholar
  11. 11.
    Freise A., Chelkowski S., Hild S., Del Pozzo W., Perreca A., Vecchio A.: Class. Quantum Gravity 26, 085012 (2009)CrossRefADSGoogle Scholar
  12. 12.
    Braginsky V.B., Vorontsov Yu.I., Khalili F.Ya.: Sov. Phys. JETP 46, 705 (1977)ADSGoogle Scholar
  13. 13.
    Caves C.M.: Phys. Rev. D 23, 1693 (1981)CrossRefADSGoogle Scholar
  14. 14.
    Kimble H.J., Levin Yu., Matsko A.B., Thorne K.S., Vyatchanin S.P.: Phys. Rev. D 65, 022002 (2001)CrossRefADSGoogle Scholar
  15. 15.
    Harms J., Chen Y., Chelkowski S., Franzen A., Vahlbruch H., Danzmann K., Schnabel R.: Phys. Rev. D 68, 042001 (2003)CrossRefADSGoogle Scholar
  16. 16.
    Buonanno A., Chen Y.: Phys. Rev. D 67, 062002 (2003)CrossRefADSGoogle Scholar
  17. 17.
    Unruh, W.G.: In: Meystre, P., Scully, M.O. (eds.) Quantum Optics, Experimental Gravitation, and Measurement Theory, p. 647. Plenum Press, New York (1982)Google Scholar
  18. 18.
    Khalili, F.Ya.: Doklady Akademii Nauk 294, 602 (1987); see also [10], Chapter 8Google Scholar
  19. 19.
    Jaekel M.T., Reynaud S.: Europhys. Lett. 13, 301 (1990)CrossRefADSGoogle Scholar
  20. 20.
    Pace A.F., Collett M.J., Walls D.F.: Phys. Rev. A 47, 3173 (1993)CrossRefADSGoogle Scholar
  21. 21.
    Vyatchanin S.P., Matsko A.B.: Sov. Phys. JETP 83, 690 (1996)ADSGoogle Scholar
  22. 22.
    Arcizet O., Briant T., Heidmann A., Pinard M.: Phys. Rev. A 73, 033819 (2006)CrossRefADSGoogle Scholar
  23. 23.
    Purdue P., Chen Y.: Phys. Rev. D 66, 122004 (2002)CrossRefADSGoogle Scholar
  24. 24.
    Buonanno A., Chen Y.: Phys. Rev. D 69, 102004 (2004)CrossRefADSGoogle Scholar
  25. 25.
    Braginsky V.B., Khalili F.Ya.: Phys. Lett. A 147, 251 (1990)CrossRefADSGoogle Scholar
  26. 26.
    Braginsky V.B., Gorodetsky M.L., Khalili F.Ya., Thorne K.S.: Phys. Rev. D 61, 4002 (2000)CrossRefADSGoogle Scholar
  27. 27.
    Purdue P.: Phys. Rev. D 66, 022001 (2002)CrossRefADSGoogle Scholar
  28. 28.
    Khalili F.Ya., Levin Yu.: Phys. Rev. D 54, 4735 (1996)CrossRefADSGoogle Scholar
  29. 29.
    Chen Y.: Phys. Rev. D 67, 122004 (2003)CrossRefADSGoogle Scholar
  30. 30.
    Khalili, F.Ya.: arXive:gr-gc/0211088 (2002)Google Scholar
  31. 31.
    Danilishin S.L.: Phys. Rev. D 69, 102003 (2004)CrossRefADSGoogle Scholar
  32. 32.
    Sun K.-X., Fejer M.M., Gustafson E., Shoemaker D., Byer R.L.: Phys. Rev. Lett. 76, 3055 (1996)CrossRefADSGoogle Scholar
  33. 33.
    Beyersdorf P., Fejer M.M., Byer R.L.: Opt. Lett. 24, 1112 (1999)CrossRefADSGoogle Scholar
  34. 34.
    Traeger S., Beyersdorf P., Goddard L., Gustafson E., Fejer M.M., Byer R.L.: Opt. Lett. 25, 722 (2000)CrossRefADSGoogle Scholar
  35. 35.
    Mueller-Ebhardt, H., Somiya, K., Schnabel, R., Danzmann, K., Chen, Y.: Signal-recycled Sagnac interferometer. (2005, unpublished manuscript)Google Scholar
  36. 36.
    Meers B.J.: Phys. Rev. D 38, 2317 (1988)CrossRefADSGoogle Scholar
  37. 37.
    Buonanno A., Chen Y.: Phys. Rev. D 64, 042006 (2001)CrossRefADSGoogle Scholar
  38. 38.
    Buonanno A., Chen Y.: Phys. Rev. D 65, 042001 (2002)CrossRefADSGoogle Scholar
  39. 39.
    Mueller-Ebhardt, H., Rehbein, H., Li, C., Mino, Y., Somiya, K., Schnabel, R., Danzmann, K., Chen, Y.: arXiv:0903.0798 (2009)Google Scholar
  40. 40.
    Ju L., Blair D.G., Zhao C.: Rep. Prog. Phys. 63(9), 1317 (2000)CrossRefADSGoogle Scholar
  41. 41.
    Braginsky V.B., Khalili F.Ya.: Phys. Lett. A 257, 241 (1999)CrossRefADSGoogle Scholar
  42. 42.
    Khalili F.Ya.: Phys. Lett. A 288, 251 (2001)CrossRefADSGoogle Scholar
  43. 43.
    Rehbein H., Müller-Ebhardt H., Somiya K., Li C., Schnabel R., Danzmann K., Chen Y.: Phys. Rev. D 76, 062002 (2007)CrossRefADSGoogle Scholar
  44. 44.
    Braginsky V.B., Gorodetsky M.L., Khalili F.Ya.: Phys. Lett. A 232, 340 (1997)CrossRefADSGoogle Scholar
  45. 45.
    Khalili F.Ya.: Phys. Lett. A 298, 308 (2002)CrossRefADSGoogle Scholar
  46. 46.
    Braginsky V.B., Gorodetsky M.L., Khalili F.Ya.: Phys. Lett. A 246, 485 (1998)CrossRefADSGoogle Scholar
  47. 47.
    Khalili F.Ya.: Phys. Lett. A 317, 169 (2003)CrossRefADSGoogle Scholar
  48. 48.
    Danilishin S.L., Khalili F.Ya.: Phys. Rev. D 73, 022002 (2006)CrossRefADSGoogle Scholar
  49. 49.
    Khalili F.Ya.: Phys. Rev. D 76, 102002 (2007)CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Yanbei Chen
    • 1
  • Stefan L. Danilishin
    • 2
    Email author
  • Farid Ya. Khalili
    • 2
  • Helge Müller-Ebhardt
    • 3
  1. 1.Theoretical Astrophysics 350-17California Institute of TechnologyPasadenaUSA
  2. 2.Physics FacultyMoscow State UniversityMoscowRussia
  3. 3.Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) and Universität HannoverHannoverGermany

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