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Precision in Length

  • Gerd Leuchs
Chapter

Abstract

After a short prologue on “precision in time” the main part of the text addresses techniques in high precision length measurements, namely the use of non-classical light for the improvement of the sensitivity of interferometers. There now exist a number of schemes in quantum interferometry, which will be discussed from a common perspective.

Keywords

Coherent State Output Port Input Port Light Pressure Kerr Medium 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    G.G. Stokes, Cambridge and Dublin Math. J. IV, 1 (1849)Google Scholar
  2. 2.
    M.W. Hamilton, Am. J. Phys. 68, 186 (2000)ADSCrossRefGoogle Scholar
  3. 3.
    S. Reynaud, A. Heidmann, E. Giacobino, C. Fabre, in Progress in Optics XXX, ed. by E. Wolf (Elsevier, Amsterdam 1992) p. 1Google Scholar
  4. 4.
    W. Schleich, Quantum Optics in Phase Space (Wiley-VCH, Heidelberg, New York 2000)Google Scholar
  5. 5.
    W. Winkler, G. Wagner, G. Leuchs, ‘Interferometric detection of gravitational radiation and non-classical light’, in Fundamentals of Quantum Optics II, ed. by F. Ehlotzky, (Springer, Berlin, Heidelberg 1987) pp. 92–108CrossRefGoogle Scholar
  6. 6.
    G. Leuchs, T.C. Ralph, C. Silberhorn, N. Korolkova, J. Mod. Op. 46, 1927 (1999)ADSCrossRefGoogle Scholar
  7. 7.
    G. Leuchs, ‘Photon statistics, anti-bunching, and squeezed states’, in Frontiers of non-equilibrium statistical physics, ed. by G.T. Moore, M.O. Scully (Plenum Press, New York, London 1986) pp. 329–360CrossRefGoogle Scholar
  8. 7.
    G. Leuchs Contemp. Phys. 29, 299 (1988)ADSCrossRefGoogle Scholar
  9. 8.
    U. Leonhard, ‘Measuring the quantum state of light’ (Cambridge University Press, Cambridge, New York 1997)Google Scholar
  10. 9.
    C.M. Caves, Phys. Rev. D 23, 1693 (1981)ADSCrossRefGoogle Scholar
  11. 10.
    J. Gea-Banacloche, G. Leuchs, J. Mod. Optics 34, 793 (1987)ADSCrossRefGoogle Scholar
  12. 10.
    J. Gea-Banacloche, G. Leuchs, J. Opt. Soc. Am. B 4, 1667 (1987)ADSCrossRefGoogle Scholar
  13. 10.
    J. Gea-Banacloche, G. Leuchs, J. Mod. Optics 36, 1277 (1989)ADSCrossRefGoogle Scholar
  14. 11.
    G. Leuchs, M.W. Hamilton, ‘Possible Applications of squeezed states in interferometric tests of general relativity’, in Frontiers in Quantum Optics, ed. by E.R. Pike, S. Sakar (Hilger, Bristol 1986) pp. 106–119Google Scholar
  15. 12.
    A. Brillet, J. Gea-Banacloche, G. Leuchs, C.N. Man, J.Y. Vinet, ‘Advanced techniques: recycling and squeezing,’ in Detection of Gravitational Waves, ed. by D. Blair (Cambridge University Press, Cambridge, New York 1991) pp. 369–405Google Scholar
  16. 13.
    V. Chickarmane, S.V. Dhurandhar, Phys. Rev. A 54, 786 (1996)ADSCrossRefGoogle Scholar
  17. 13.
    V. Chickarmane, S.V. Dhurandhar, T.C. Ralph, M. Gray, H-A. Bachor, D.E. McClelland, Phys. Rev. A 57, 3898 (1998)ADSCrossRefGoogle Scholar
  18. 14.
    P. Meystre, E.M. Wright, J.D. McCullen, E. Vignes, J. Opt. Soc. Am. B 2, 1830 (1985)ADSCrossRefGoogle Scholar
  19. 14.
    A. Dorsel, J.D. McCullen, P. Meystre, E. Vignes, H. Walther, Phys. Rev. Lett. 51, 1550 (1983)ADSCrossRefGoogle Scholar
  20. 15.
    P.F. Cohadon, A. Heidmann, M. Pinard, Phys. Rev. Lett. 83, 3174 (1999)ADSCrossRefGoogle Scholar
  21. 16.
    C.M. Caves, Phys. Rev. Lett. 45, 75 (1980)ADSCrossRefGoogle Scholar
  22. 16.
    R. Loudon, Phys. Rev. Lett. 47, 815 (1981)ADSCrossRefGoogle Scholar
  23. 17.
    W.A. Edelstein, J. Hough, J.R. Pugh, W. Martin, J. Phys. E: Scientific Instruments 11, 710 (1978)ADSCrossRefGoogle Scholar
  24. 17a.
    C.M. Caves, K.S. Thorne, R.W.P. Dreyer, V.D. Sandberg, M. Zimmerman, Rev. Mod. Phys. 52, 341 (1980)ADSCrossRefGoogle Scholar
  25. 18.
    W.G. Unruh, ‘Quantum Noise in the Interferometer Detector’, in Quantum Optics, Experimental Gravitation, and Measurement Theory, ed. by P. Meystre, M.O. Scully, (Plenum Press, New York, London 1983) pp. 647–660CrossRefGoogle Scholar
  26. 19.
    H.P. Yuen, Phys. Rev. Lett. 51, 719 (1983)ADSCrossRefGoogle Scholar
  27. 20.
    M.T. Jaeckel, S. Reynaud, Europhys. Lett. 13, 301 (1990)ADSCrossRefGoogle Scholar
  28. 21.
    A. Luis, L.L. Sánchez-Soto, Phys. Rev. A 45, 8228 (1992)ADSCrossRefGoogle Scholar
  29. 21.
    A. Luis, L.L. Sánchez-Soto, Opt. Commun. 89, 140 (1992)ADSCrossRefGoogle Scholar
  30. 22.
    A.F. Pace, M.J. Collett, D.F. Walls, Phys. Rev. A 47, 3173 (1993)ADSCrossRefGoogle Scholar
  31. 23.
    M. Shirasaki, I. Lyubomirsky, H.A. Haus, J. Opt. Soc. Am. B 11, 857 (1994)ADSCrossRefGoogle Scholar
  32. 24.
    Ch. Silberhorn, P.K. Lam, O. Weiß, F. König, N. Korolkova, G. Leuchs, Phys. Rev. Lett. 86, 4267 (2001)ADSCrossRefGoogle Scholar
  33. 25.
    R.S. Bondurant, Phys. Rev. A 34, 3927 (1986)ADSCrossRefGoogle Scholar
  34. 26.
    S.P. Vyatchanin, E.A. Zubova, Opt. Commun. 111, 303 (1994); Opt. Commun. 109, 492 (1994)ADSCrossRefGoogle Scholar
  35. 27.
    M.J. Holland, K. Burnett, Phys. Rev. Lett. 71, 1355 (1993)T. Kim, O. Pfister, M.J. Holland, J. Noh, J.L. Hall, Phys. Rev. A 57, 4004 (1998) and references thereinADSCrossRefGoogle Scholar
  36. 28.
    A. Trifonov, T. Tsegaye, G. Björk, J. Söderholm, E. Goobar, M. Atatüre, A.V. Sergienko, J. Opt. B 2, 105 (2000)ADSCrossRefGoogle Scholar
  37. 28.
    A. Trifonov, G. Björk, J. Söderholm, Phys. Rev. Lett. 86, 4423 (2001)MathSciNetADSCrossRefGoogle Scholar
  38. 29.
    R. Josza, D.S. Abrams, J.P. Dowling, C.P. Williams, Phys. Rev. Lett. 85, 2010 (2001)ADSGoogle Scholar
  39. 29.
    I.L. Chuang, Phys. Rev. Lett. 85, 2006 (2001)ADSCrossRefGoogle Scholar
  40. 29.
    V. Giovanetti, S. Lloyd, L. Maccone, F.N.C. Wong, Phys. Rev. Lett. 87, 117902 (2001)ADSCrossRefGoogle Scholar
  41. 30.
    H.J. Kimble, Y. Levin, A.B. Matsko, K.S. Thorne, S.P. Vyatchinin, arXiv: gr-qc/000826Google Scholar
  42. 31.
    M. Xiao, L.-A. Wu, H.J. Kimble, Phys. Rev. Lett. 59, 278 (1987)ADSCrossRefGoogle Scholar
  43. 31.
    P. Grangier, R.E. Slusher, B. Yurke, A. LaPorta, Phys. Rev. Lett. 59, 2153 (1987)ADSCrossRefGoogle Scholar
  44. 32.
    Y. Zhang, H. Wang, X. Li, J. Jing, C. Xie, K. Peng, Phys. Rev. A 62, 023813 (2000)ADSCrossRefGoogle Scholar

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© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Gerd Leuchs

There are no affiliations available

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