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Non-classical properties and polarization degree of photon-added entangled nonlinear coherent states

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Abstract.

Photon-added states are introduced by applying creation operators of the two modes on the two-mode entangled nonlinear coherent states. These nonlinear coherent states are assumed to be harmonious. Then, non-classical properties of these states are examined by studying photon number distribution, Mandel parameter and second-order coherence function. Entanglement and quantum polarization of these states are also studied. We observe that all the states show sub-Poissonian statistics in some ranges of the parameters involved. In addition, the maximally entangled states show anti-bunching effect too. The dependence of the quantum polarization on the number of added photons and coherent amplitude is also evaluated.

References

  1. 1.
    E. Schrödinger, Naturwissenschaften 14, 664 (1926)ADSCrossRefGoogle Scholar
  2. 2.
    J.R. Klauder, J. Math. Phys. 4, 1055 (1963)ADSCrossRefGoogle Scholar
  3. 3.
    J.R. Klauder, J. Math. Phys. 4, 1058 (1963)ADSCrossRefGoogle Scholar
  4. 4.
    E.C.G. Sudarshan, Phys. Rev. Lett. 10, 277 (1963)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    R.J. Glauber, Phys. Rev. 131, 2766 (1963)ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    R.J. Glauber, Phys. Rev. 130, 2529 (1963)ADSMathSciNetCrossRefGoogle Scholar
  7. 7.
    K. Nemoto, J. Phys. A Math. Gen. 33, 3493 (2000)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    G.S. Agarwal, J. Opt. Soc. Am. B 5, 1940 (1988)ADSCrossRefGoogle Scholar
  9. 9.
    A.M. Perelomov, Commun. Math. Phys. 26, 222 (1972)ADSCrossRefGoogle Scholar
  10. 10.
    R.L. de Matos Filho, W. Vogel, Phys. Rev. A 54, 4560 (1996)ADSCrossRefGoogle Scholar
  11. 11.
    B. Roy, P. Roy, J. Opt. B 2, 65 (2000)ADSCrossRefGoogle Scholar
  12. 12.
    E.C.G. Sudarshan, Int. J. Theor. Phys. 32, 1069 (1992)CrossRefGoogle Scholar
  13. 13.
    Z. Kis, W. Vogel, L. Davidovich, Phys. Rev. A 64, 033401 (2001)ADSCrossRefGoogle Scholar
  14. 14.
    J.P. Gazeau, J.R. Klauder, J. Phys. A Math. Gen. 32, 123 (1999)ADSCrossRefGoogle Scholar
  15. 15.
    J.J. Choquette, J.G. Cordes, D. Kiang, J. Opt. B 5, 56 (2003)ADSCrossRefGoogle Scholar
  16. 16.
    R. Simon, M. Selvadoray, Arvind, N. Mukunda, arXiv:9709030 (1997)Google Scholar
  17. 17.
    L. Mandel, Opt. Lett. 4, 205 (1979)ADSCrossRefGoogle Scholar
  18. 18.
    M.C. Teich, B.E.A. Saleh, Phys. Today 43, 26 (1990)CrossRefGoogle Scholar
  19. 19.
    S.L. Braunstein, H.J. Kimble, Phys. Rev. A 61, 042302 (2000)ADSMathSciNetCrossRefGoogle Scholar
  20. 20.
    S.L. Braunstein, G.M. D’Ariano, G.J. Milburn, M.F. Sacchi, Phys. Rev. Lett. 84, 3486 (2000)ADSCrossRefGoogle Scholar
  21. 21.
    C.L. Chai, Phys. Rev. A 46, 7187 (1992)ADSCrossRefGoogle Scholar
  22. 22.
    S.H. Bukhari, S.N. Khan, M.A. Ahmad, Acta Phys. Pol. B 42, 2077 (2011)CrossRefGoogle Scholar
  23. 23.
    C.C. Gerry, J. Opt. Soc. Am. B 8, 685 (1991)ADSCrossRefGoogle Scholar
  24. 24.
    X.G. Wang, Opt. Commun. 178, 365 (2000)ADSCrossRefGoogle Scholar
  25. 25.
    A. Karimi, M.K. Tavassoly, J. Opt. Soc. Am. B 31, 2345 (2014)ADSCrossRefGoogle Scholar
  26. 26.
    H. Fu, X. Wang, A.I. Solomon, Phys. Lett. A 291, 73 (2001)ADSMathSciNetCrossRefGoogle Scholar
  27. 27.
    S. Bose, V. Vedral, P.L. Knight, Phys. Rev. A 57, 822 (1998)ADSCrossRefGoogle Scholar
  28. 28.
    C.H. Bennett, H.J. Bernstein, S. Popescu, B. Schumacher, Phys. Rev. A 53, 2046 (1996)ADSCrossRefGoogle Scholar
  29. 29.
    X.G. Wang, Can. J. Phys. 79, 833 (2001)ADSCrossRefGoogle Scholar
  30. 30.
    O. Safaeian, M.K. Tavassoly, J. Phys. A Math. Theor. 44, 225301 (2011)ADSCrossRefGoogle Scholar
  31. 31.
    S. Sivakumar, J. Phys. A Math. Gen. 32, 3441 (1999)ADSMathSciNetCrossRefGoogle Scholar
  32. 32.
    L.Y. Hu, Z.M. Zhang, J. Opt. Soc. Am. B 29, 529 (2012)ADSCrossRefGoogle Scholar
  33. 33.
    R. Román-Ancheyta, C.G. Gutiérrez, J. Récamier, J. Opt. Soc. Am. B 31, 38 (2014)ADSCrossRefGoogle Scholar
  34. 34.
    Z.Z. Xin, Y.B. Duan, W. Zhang, W.J. Qian, M. Hirayama, K.I. Matumoto, J. Phys. B At. Mol. Opt. 29, 2597 (1996)ADSCrossRefGoogle Scholar
  35. 35.
    L. Hong, Chin. Phys. Lett. 16, 646 (1999)ADSCrossRefGoogle Scholar
  36. 36.
    L.Y. Hu, F. Jia, Z.M. Zhang, J. Opt. Soc. Am. B 29, 1456 (2012)ADSCrossRefGoogle Scholar
  37. 37.
    L. Hong, G.U.O. Guang-Can, Acta Phys. 8, 577 (1999)ADSGoogle Scholar
  38. 38.
    D. Afshar, A. Anbaraki, J. Opt. Soc. Am. B 33, 558 (2016)ADSCrossRefGoogle Scholar
  39. 39.
    A. Anbaraki, D. Afshar, M. Jafarpour, Optik 136, 36 (2017)ADSCrossRefGoogle Scholar
  40. 40.
    C.T. Lee, Phys. Rev. A 41, 1721 (1990)ADSCrossRefGoogle Scholar
  41. 41.
    W. Shuai, Z. Xiao-Yan, F. Hong-Yi, Chin. Phys. B 21, 054206 (2012)ADSCrossRefGoogle Scholar
  42. 42.
    M. Mehmet, H. Vahlbruch, N. Lastzka, K. Danzmann, R. Schnabel, Phys. Rev. A 81, 013814 (2010)ADSCrossRefGoogle Scholar
  43. 43.
    C.T. Lee, Opt. Lett. 15, 1386 (1990)ADSCrossRefGoogle Scholar
  44. 44.
    W. Schleich, J.A. Wheeler, Nature 326, 574 (1987)ADSCrossRefGoogle Scholar
  45. 45.
    C.M. Caves, C. Zhu, G.J. Milburn, W. Schleich, Phys. Rev. A 43, 3854 (1991)ADSCrossRefGoogle Scholar
  46. 46.
    C. Gerry, P. Knight, Introductory Quantum Optics (Cambridge University Press, UK, 2005)Google Scholar
  47. 47.
    M.S. Kim, W. Son, V. Buzek, P.L. Knight, Phys. Rev. A 65, 032323 (2002)ADSCrossRefGoogle Scholar
  48. 48.
    W.K. Wootters, Quantum Inf. Comput. 1, 27 (2001)MathSciNetGoogle Scholar
  49. 49.
    X. Wang, J. Phys. A Math. Gen. 35, 165 (2002)ADSCrossRefGoogle Scholar
  50. 50.
    C.H. Bennett, F. Bessette, G. Brassard, L. Salvail, J. Smolin, J. Cryptol. 5, 3 (1992)CrossRefGoogle Scholar
  51. 51.
    K. Mattle, H. Weinfurter, P.G. Kwiat, A. Zeilinger, Phys. Rev. Lett. 76, 4656 (1996)ADSCrossRefGoogle Scholar
  52. 52.
    D. Bouwmeester, J.W. Pan, K. Mattle, M. Eibl, H. Weinfurter, A. Zeilinger, Nature 390, 575 (1997)ADSCrossRefGoogle Scholar
  53. 53.
    M. Barbieri, F. De Martini, G. Di Nepi, P. Mataloni, G.M. D’Ariano, C. Macchiavello, Phys. Rev. Lett. 91, 227901 (2003)ADSCrossRefGoogle Scholar
  54. 54.
    A. Luis, N. Korolkova, Phys. Rev. A 74, 043817 (2006)ADSCrossRefGoogle Scholar
  55. 55.
    G.G. Stokes, Trans. Camb. Philos. Soc. 9, 399 (1851)ADSGoogle Scholar
  56. 56.
    U. Fano, J. Opt. Soc. Am. 39, 859 (1949)ADSCrossRefGoogle Scholar
  57. 57.
    E. Collett, Am. J. Phys. 38, 563 (1970)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics, Faculty of ScienceShahid Chamran University of AhvazAhvazIran

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