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Generalized Two-Mode Squeezed States and Some Nonclassical Characteristics

  • Hong-Chun Yuan
  • Heng-Mei Li
  • Ye-Jun Xu
  • Hong-Yi Fan
Article

Abstract

A class of generalized two-mode squeezed states |φ〉 is presented, which are generated from the generalized two-mode squeezing operator U(γ,λ) acting on the two-mode coherent state |α 1,α 2〉. We first investigate some mathematical properties of U(γ,λ) including the squeezing transformation under U(γ,λ), ket-bra integral form in the coordinate representation, normally ordered form. Then we evaluate some nonclassical characteristics of the state |φ〉 such as higher-order squeezing behavior, entanglement analysis and analytical expression of the Wigner function.

Keywords

Generalized two-mode squeezed state Higher-order squeezing Entanglement Wigner function 

References

  1. 1.
    Dodonov, V.V.: J. Opt. B, Quantum Semiclass. Opt. 4, R1 (2002) CrossRefMathSciNetADSGoogle Scholar
  2. 2.
    Loudon, R., Knight, P.L.: J. Mod. Opt. 34, 709 (1987) MATHCrossRefMathSciNetADSGoogle Scholar
  3. 3.
    Caves, C.M.: Phys. Rev. D 23, 1693 (1981) CrossRefADSGoogle Scholar
  4. 4.
    Collet, M.J., Walls, D.F.: Phys. Rev. A 32, 2887 (1985) CrossRefADSGoogle Scholar
  5. 5.
    Klauder, J.R., Mccall, S.L., Yurke, B.: Phys. Rev. A 33, 3204 (1986) CrossRefADSGoogle Scholar
  6. 6.
    Lakshmi, P.A., Agarwal, G.S.: Phys. Rev. A 29, 2260 (1984) CrossRefADSGoogle Scholar
  7. 7.
    Caves, C.M., Schumaker, B.L.: Phys. Rev. A 31, 3068 (1985) CrossRefMathSciNetADSGoogle Scholar
  8. 8.
    Caves, C.M., Schumaker, B.L.: Phys. Rev. A 31, 3093 (1985) CrossRefMathSciNetADSGoogle Scholar
  9. 9.
    Milburn, G.J., Braunstein, S.L.: Phys. Rev. A 60, 937 (1999) CrossRefMathSciNetADSGoogle Scholar
  10. 10.
    Furusawa, A., Sorensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Science 282, 23 (1998) CrossRefGoogle Scholar
  11. 11.
    Ban, M.: J. Opt. B, Quantum Semiclass. Opt. 1, L9 (1999) CrossRefMathSciNetADSGoogle Scholar
  12. 12.
    Stoler, D.: Phys. Rev. D 1, 3217 (1970) CrossRefADSGoogle Scholar
  13. 13.
    Stoler, D.: Phys. Rev. D 4, 1925 (1971) CrossRefADSGoogle Scholar
  14. 14.
    Yuen, H.P.: Phys. Rev. A 13, 2226 (1976) CrossRefADSGoogle Scholar
  15. 15.
    Lee, C.T.: Phys. Rev. A 42, 1608 (1990) CrossRefADSGoogle Scholar
  16. 16.
    Caves, C.M., Zhu, C., Milburn, G.J., Schleich, W.: Phys. Rev. A 43, 3854 (1991) CrossRefADSGoogle Scholar
  17. 17.
    Artoni, M., Ortiz, U.P., Birman, J.L.: Phys. Rev. A 43, 9956 (1991) CrossRefGoogle Scholar
  18. 18.
    Selvadoray, M., Kumar, M.S., Simon, R.: Phys. Rev. A 49, 4957 (1994) CrossRefADSGoogle Scholar
  19. 19.
    Gantsog, T., Tanaś, R.: Phys. Lett. A 152, 251 (1991) CrossRefADSGoogle Scholar
  20. 20.
    Fan, H.Y., Zaidi, H.R.: Opt. Commun. 68, 143 (1988) CrossRefADSGoogle Scholar
  21. 21.
    Selvadoray, M., Kumar, M.S.: Opt. Commun. 136, 125 (1997) CrossRefADSGoogle Scholar
  22. 22.
    Ping, Y.X., Cheng, Z., Zhang, B., Cheng, Z.Z.: Commun. Theor. Phys. 49, 1013 (2008) CrossRefGoogle Scholar
  23. 23.
    Hu, L.Y., Fan, H.Y.: J. Mod. Opt. 55, 2011 (2008) MATHCrossRefADSGoogle Scholar
  24. 24.
    Fan, H.Y.: Phys. Rev. A 41, 1526 (1990) CrossRefADSGoogle Scholar
  25. 25.
    Abdalla, M.S.: J. Mod. Opt. 39, 1067 (1992) MATHCrossRefMathSciNetADSGoogle Scholar
  26. 26.
    Deng, L.B., Zhang, L.Z.: J. Mod. Opt. 40, 169 (1992) CrossRefADSGoogle Scholar
  27. 27.
    Ma, X., Rhodes, W.: Phys. Rev. A 41, 4625 (1991) CrossRefADSGoogle Scholar
  28. 28.
    Guo, Q.: Int. J. Theor. Phys. 46, 3135 (2007) MATHCrossRefGoogle Scholar
  29. 29.
    Fan, H.Y.: J. Opt. B, Quantum Semiclass. Opt. 5, R147 (2003) CrossRefADSGoogle Scholar
  30. 30.
    Fan, H.Y., Lu, H.L., Fan, Y.: Ann. Phys. 321, 480 (2006) MATHCrossRefMathSciNetADSGoogle Scholar
  31. 31.
    Fan, H.Y., VanderLinde, J.: Phys. Rev. A 39, 1552 (1989) CrossRefMathSciNetADSGoogle Scholar
  32. 32.
    Hong, C.K., Mandel, L.: Phys. Rev. A 32, 974 (1985) CrossRefADSGoogle Scholar
  33. 33.
    Marian, P.: Phys. Rev. A 44, 3325 (1991) CrossRefADSGoogle Scholar
  34. 34.
    Loudon, R., Knight, P.L.: J. Mod. Opt. 34, 709 (1987) MATHCrossRefMathSciNetADSGoogle Scholar
  35. 35.
    Duan, L.M., Giedke, G., Cirac, J.I., Zoller, P.: Phys. Rev. Lett. 84, 2722 (2000) CrossRefADSGoogle Scholar
  36. 36.
    Fan, H.Y., Klauder, J.R.: Phys. Rev. A 49, 704 (1994) CrossRefADSGoogle Scholar
  37. 37.
    Hu, L.Y., Fan, H.Y.: J. Opt. Soc. Am. B 25, 1955 (2008) CrossRefADSGoogle Scholar
  38. 38.
    Hu, L.Y., Fan, H.Y.: Phys. Scr. 79, 035004 (2009) CrossRefADSGoogle Scholar
  39. 39.
    Fan, H.Y.: Mod. Phys. Lett. A 15, 2297 (2000) MATHCrossRefADSGoogle Scholar
  40. 40.
    Fan, H.Y., Fan, Y.: Int. J. Mod. Phys. A 17, 701 (2002) MATHCrossRefADSGoogle Scholar
  41. 41.
    Fan, H.Y., Wang, J.S.: Mod. Phys. Lett. A 20, 1525 (2005) MATHCrossRefMathSciNetADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Hong-Chun Yuan
    • 1
  • Heng-Mei Li
    • 2
  • Ye-Jun Xu
    • 2
  • Hong-Yi Fan
    • 1
    • 2
  1. 1.Department of PhysicsShanghai Jiao Tong UniversityShanghaiChina
  2. 2.Department of Material Science and EngineeringUniversity of Science and Technology of ChinaHefeiChina

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