The quantum optical description of a Fabry-Perot interferometer and the prediction of an antibunching effect

  • Stefan AtamanEmail author
Regular Article


In this paper we describe a Fabry-Perot interferometer in the language of quantum optics. We go on to model the Fabry-Perot interferometer as a beam splitter having frequency dependent transmissivity and reflectivity coefficients. The antibunching, a totally non-classical effect, is to be expected if one excites this interferometer with carefully frequency-selected single photons arriving simultaneously from opposite directions. For carefully chosen frequencies, even slightly different color single photons should be able to show this effect, as long as the photon counters are not frequency selective.

Graphical abstract


Quantum Optics 


  1. 1.
    C. Fabry, A. Perot, Ann. Chim. Phys. 16, 115 (1899)Google Scholar
  2. 2.
    N. Hodgson, H. Weber, Optical Resonators: Fundamentals, Advanced Concepts, and Applications (Springer-Verlag, Berlin, 1997)Google Scholar
  3. 3.
    K.S. Thorne, Rev. Mod. Phys. 52, 285 (1980)MathSciNetCrossRefADSGoogle Scholar
  4. 4.
    S. Kuhr et al., Appl. Phys. Lett. 90, 164101 (2007)CrossRefADSGoogle Scholar
  5. 5.
    D. Hunger et al., New J. Phys. 12, 065038 (2010)CrossRefADSGoogle Scholar
  6. 6.
    M.J. Lawrence et al., J. Opt. Soc. Am. B 16, 523 (1999)CrossRefADSGoogle Scholar
  7. 7.
    H. Rohde, J. Eschner, F. Schmidt-Kaler, R. Blatt, J. Opt. Soc. Am. B 19, 1425 (2002)CrossRefADSGoogle Scholar
  8. 8.
    F. Fratini et al., Phys. Rev. Lett. 113, 243601 (2014)CrossRefADSGoogle Scholar
  9. 9.
    G. Hétet et al., Phys. Rev. Lett. 107, 133002 (2011)CrossRefADSGoogle Scholar
  10. 10.
    Bh. Srivathsan et al., Phys. Rev. Lett. 113, 163601 (2014)CrossRefADSGoogle Scholar
  11. 11.
    The Physics of Quantum Information, edited by D. Bouwmeester, A. Ekert, A. Zeilinger (Springer, 2000)Google Scholar
  12. 12.
    Y. Sun, Phys. Rev. A 91, 053851 (2015)CrossRefADSGoogle Scholar
  13. 13.
    D.C. Burnham, D.L. Weinberg, Phys. Rev. Lett. 25, 84 (1970)CrossRefADSGoogle Scholar
  14. 14.
    D.N. Klyshko, Sov. Phys. J. Exp. Theor. Phys. Lett. 6, 23 (1967)ADSGoogle Scholar
  15. 15.
    C. Hong, Z. Ou, L. Mandel, Phys. Rev. Lett. 59, 2044 (1987)CrossRefADSGoogle Scholar
  16. 16.
    M. Ley, R. Loudon, J. Mod. Opt. 34, 227 (1987)CrossRefADSGoogle Scholar
  17. 17.
    B. Yurke, S. McCall, J. Klauder, Phys. Rev. A 33, 4033 (1986)CrossRefADSGoogle Scholar
  18. 18.
    R. Campos, B. Saleh, M. Teich, Phys. Rev. A 40, 1371 (1989)CrossRefADSGoogle Scholar
  19. 19.
    S. Ataman, Eur. Phys. J. D 68, 288 (2014)CrossRefADSGoogle Scholar
  20. 20.
    S. Ataman, Eur. Phys. J. D 69, 44 (2015)CrossRefADSGoogle Scholar
  21. 21.
    R. Loudon, The Quantum Theory of Light, 3rd edn. (Oxford University Press, 2003)Google Scholar
  22. 22.
    K. Blow, R. Loudon, S. Phoenix, T. Shepherd, Phys. Rev. A 42, 4102 (1990)CrossRefADSGoogle Scholar
  23. 23.
    R. Campos, B. Saleh, M. Teich, Phys. Rev. A 42, 4127 (1990)CrossRefADSGoogle Scholar
  24. 24.
    L. Mandel, E. Wolf, Optical Coherence and Quantum Optics (Cambridge, 1995)Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.ECE ParisParisFrance

Personalised recommendations