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International Journal of Theoretical Physics

, Volume 53, Issue 7, pp 2261–2274 | Cite as

Nonclassical Effects in the Photon-Added Squeezing-Enhanced Vacuum State

  • Gang Ren
  • Jian-ming Du
  • Hai-jun Yu
  • Xiu-lan Zhang
Article
  • 87 Downloads

Abstract

Photon-added squeezing-enhanced vacuum state (PASEVS) is introduced. We analyze the nonclassical effects in the PASEVS, such as Q-function, photon-number distribution and second-order function, etc. For the PASEVS, it shows that the degree of the squeezing increases with the parameter r and reaches to the maximum degree of squeezing −1 quickly. The Wigner functions of the PASEVS are also discussed. Furthermore, the production of the PASEVS is also given experimentally.

Keywords

Nonclassical effect Squeezing-enhanced state Legendre polynomial 

References

  1. 1.
    Zheng, S.B., Yang, Z.B., Xia, Y.: Phys. Rev. A 81, 015804 (2010) ADSCrossRefGoogle Scholar
  2. 2.
    Meng, X.G., Wang, J.S., Li, Y.L.: Int. J. Theor. Phys. 46, 1205 (2007) CrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    Xu, L.J., Tan, G.B., Ma, S.J., Guo, Q.: Chin. Phys. B 22, 030311 (2013) ADSCrossRefGoogle Scholar
  4. 4.
    Ren, G., Du, J.M.: Int. J. Theor. Phys. 51, 3452–3457 (2012) CrossRefMATHMathSciNetGoogle Scholar
  5. 5.
    Ren, G., Fan, H.Y.: Int. J. Theor. Phys. 49, 439–444 (2010) CrossRefMATHMathSciNetGoogle Scholar
  6. 6.
    Kim, M.S.: Physica B 41, 133001 (2008) Google Scholar
  7. 7.
    Fiurasek, J., Cerf, N.J.: Phys. Rev. Lett. 93, 063601 (2004) ADSCrossRefGoogle Scholar
  8. 8.
    Wenger, J., Tualle-Brouri, R., Grangier, P.: Phys. Rev. Lett. 92, 153601 (2004) ADSCrossRefGoogle Scholar
  9. 9.
    Zavatta, A., Viciani, S., Bellini, M.: Science 306, 660 (2004) ADSCrossRefGoogle Scholar
  10. 10.
    Zavatta, A., Viciani, S., Bellini, M.: Phys. Rev. A 72, 023820 (2005) ADSCrossRefGoogle Scholar
  11. 11.
    Parigi, V., Zavatta, A., Kim, M.S., Bellini, M.: Science 317, 1890 (2007) ADSCrossRefGoogle Scholar
  12. 12.
    Ourjoumtsev, A., Tualle-Brouri, R., Laurat, J., Grangier, Ph.: Science 312, 83 (2006) ADSCrossRefGoogle Scholar
  13. 13.
    Wakui, K., Takahashi, H., Furusawa, A., Sasaki, M.: Opt. Express 15, 3568 (2007) ADSCrossRefGoogle Scholar
  14. 14.
    Biswas, A., Agarwal, G.S.: Phys. Rev. A 75, 032104 (2007) ADSCrossRefGoogle Scholar
  15. 15.
    Ren, G., Du, J.M., Yu, H.J., Xu, Y.J.: J. Opt. Soc. Am. B 29, 3412 (2012) ADSCrossRefGoogle Scholar
  16. 16.
    Hu, L.Y., Fan, H.Y.: J. Mod. Opt. 57, 1344 (2010) ADSCrossRefMATHGoogle Scholar
  17. 17.
    Ma, S.J., Luo, W.W.: Chin. Phys. B 21, 024203 (2012) ADSCrossRefGoogle Scholar
  18. 18.
    Liang, B.L., Meng, X.G., Wang, J.S.: Acta Phys. Sin. 56, 2160 (2007) MathSciNetGoogle Scholar
  19. 19.
    Braunstein, S.L., Kimble, H.J.: Phys. Rev. A 61, 042302 (2000) ADSCrossRefMathSciNetGoogle Scholar
  20. 20.
    Vahlbruch, H., Mehmet, M., Chelkowski, S., Hage, B., Franzen, A., Lastzka, N., Gobler, S., Danzmann, K., Schnabel, R.: Phys. Rev. Lett. 100, 033602 (2008) ADSCrossRefGoogle Scholar
  21. 21.
    Mehmet, M., Vahlbruch, H., Lastzka, N., Danzmann, K., Schnabel, R.: Phys. Rev. A 81, 013814 (2010) ADSCrossRefGoogle Scholar
  22. 22.
    Mandel, L., Wolf, E.: Optical Coherence and Quantum Optics. Cambridge University Press, Cambridge (1995) CrossRefGoogle Scholar
  23. 23.
    Fan, H.Y., Yuan, H.C., Xu, X.X., Jiang, N.Q.: Phys. Scr. 83, 015403 (2011) ADSCrossRefGoogle Scholar
  24. 24.
    Wang, S., Fan, H.Y.: J. Opt. Soc. Am. B 29, 15 (2012) ADSCrossRefGoogle Scholar
  25. 25.
    Xu, X.X., Yuan, H.C., Hu, L.Y., Fan, H.Y.: J. Phys. A, Math. Theor. 44, 445306 (2011) ADSCrossRefMathSciNetGoogle Scholar
  26. 26.
    Glauber, R.J.: Phys. Rev. 130, 2529 (1963) ADSCrossRefMathSciNetGoogle Scholar
  27. 27.
    Puri, R.R.: Mathematical Methods of Quantum Optics. Springer, Berlin (2001), p. 269, A.29 CrossRefMATHGoogle Scholar
  28. 28.
    Hu, L.Y., Xu, X.X., Wang, Z.S., Xu, X.F.: Phys. Rev. A 82, 043842 (2010) ADSCrossRefGoogle Scholar
  29. 29.
    Fan, H.Y., Yuan, H.C., Xu, X.X., Jiang, N.Q.: Phys. Scr. 83, 015403 (2011) ADSCrossRefGoogle Scholar
  30. 30.
    Mehta, C.L., Sudarshan, E.C.G.: Phys. Rev. B 138, 274 (1965) ADSCrossRefMathSciNetGoogle Scholar
  31. 31.
    Mandel, L.: Opt. Lett. 4, 205 (1979) ADSCrossRefGoogle Scholar
  32. 32.
    Hu, L.Y., Fan, H.Y.: J. Mod. Opt. 57, 1344 (2010) ADSCrossRefMATHGoogle Scholar
  33. 33.
    Wei, C.P., Xie, F.S., Zhang, H.L., Hu, L.Y.: Int. J. Theor. Phys. 527, 98 (2013) Google Scholar
  34. 34.
    Hong, C.K., Mandel, L.: Phys. Rev. A 32, 974 (1985) ADSCrossRefGoogle Scholar
  35. 35.
    Lee, J., Kim, J., Nha, H.: J. Opt. Soc. Am. B 26, 1363 (2009) ADSCrossRefGoogle Scholar
  36. 36.
    Dodonov, V.V., Man’ko, V.I.: Invariants and Evolution of Nonstationary Quantum Systems. Proc. Lebedev Physical Institute, vol. 183. Nova Science, Commack (1989). M.A. Markov (ed.) Google Scholar
  37. 37.
    Scully, M.O., Zubairy, M.S.: Squeezing via nonlinear optical processes. In: Quantum Optics. Cambridge University Press, Cambridge (1997). Chap. 16 CrossRefGoogle Scholar
  38. 38.
    Yurke, B., Stoler, D.: Phys. Rev. Lett. 57, 13 (1986) ADSCrossRefGoogle Scholar
  39. 39.
    Milburn, G.J.: Phys. Rev. A 33, 674 (1986) ADSCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Gang Ren
    • 1
  • Jian-ming Du
    • 1
  • Hai-jun Yu
    • 1
  • Xiu-lan Zhang
    • 1
  1. 1.Department of PhysicsHuainan Normal UniversityHuainanChina

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