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Time Evolution of Husimi Function for Photon-Added Squeezed Vacuum State in Dissipative Channel

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Abstract

In this paper, we determine the normalization factor of photo-added squeezed vacuum state (PASVS) as a Legendre polynomial of the squeezing parameter by virtue of principle of mathematical induction, and derive the normally ordered density operator of PASVS in dissipative channel. In addition, we also give the explicit analytical expression of Husimi function in dissipative channel and study its behavior with evolution time graphically.

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References

  1. Bouwmeester, D., Ekert, A., Zeilinger, A.: The Physics of Quantum Information. Springer, Berlin (2000)

    MATH  Google Scholar 

  2. Short, R., Mandel, L.: Phys. Rev. Lett. 51, 384 (1983)

    Article  ADS  Google Scholar 

  3. Dodonov, V.V.: J. Opt., B Quantum Semiclass. Opt. 4, R1 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  4. Kimble, H.J.: Phys. Rev. Lett. 39, 691 (1977)

    Article  ADS  Google Scholar 

  5. Hillery, M., O’Connell, R.F., Scully, M.O., Wigner, E.P.: Phys. Rep. 106, 121 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  6. Kenfack, A., Zyczkowski, K.: J. Opt., B Quantum Semiclass. Opt. 6, 396 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  7. Biswas, A., Agarwal, G.S.: Phys. Rev. A 75, 032104 (2007)

    Article  ADS  Google Scholar 

  8. Hu, L.Y., Fan, H.Y.: J. Opt. Soc. Am. B 25, 1955 (2008)

    Article  ADS  Google Scholar 

  9. Husimi, K.: Proc. Phys.-Math. Soc. Jpn. 22, 264 (1940)

    MATH  Google Scholar 

  10. Guo, Q.: Int. J. Theor. Phys. 46, 3135 (2007)

    Article  MATH  Google Scholar 

  11. Hu, L.Y., Fan, H.Y.: Int. J. Theor. Phys. 48, 1539 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  12. Guo, Q., Fan, H.Y.: Int. J. Theor. Phys. 47, 3234 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  13. Yuan, H.C., Xu, X.X., Fan, H.Y.: Int. J. Theor. Phys. 48, 3596 (2009)

    Article  MATH  Google Scholar 

  14. Meng, X.G., Wang, J.S., Fan, H.Y.: Int. J. Theor. Phys. 48, 2390 (2009)

    Article  MATH  Google Scholar 

  15. Husimi, K.: Proc. Phys.-Math. Soc. Jpn. 22, 264 (1940)

    MATH  Google Scholar 

  16. Dirac, P.: The Principles of Quantum Mechanics. Oxford University Press, Oxford (1982)

    Google Scholar 

  17. Callaway, D.: Nucl. Phys. B 344, 627 (1990)

    Article  ADS  Google Scholar 

  18. Zachos, C.K., Fairlie, D.B., Curtright, T.L.: Quantum Mechanics in Phase Space. World Scientific, Singapore (2005)

    MATH  Google Scholar 

  19. Agarwal, G.S., Tara, K.: Phys. Rev. A 43, 492 (1991)

    Article  ADS  Google Scholar 

  20. Duc, T.M., Noh, J.: Opt. Commun. 281, 2842 (2008)

    Article  ADS  Google Scholar 

  21. Zavatta, A., Viciani, S., Bellini, M.: Science 306, 660 (2004)

    Article  ADS  Google Scholar 

  22. Kalamidas, D., Gerry, C.C., Benmoussa, A.: Phys. Lett. A 372, 1937 (2008)

    Article  ADS  Google Scholar 

  23. Zhang, Z.X., Fan, H.Y.: Phys. Lett. A 14, 165 (1992)

    MathSciNet  ADS  Google Scholar 

  24. Meng, X.G., Wang, J.S., Fan, H.Y.: Phys. Lett. A 361, 183 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  25. Garder, C., Zoller, P.: Quantum Noise. Springer, Berlin (2000)

    Google Scholar 

  26. Fan, H.Y., Hu, L.Y.: Mod. Phys. Lett. B 22, 2435 (2008)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  27. Fan, H.Y., Liu, S.G.: Commun. Theor. Phys. 47, 427 (2007)

    Article  Google Scholar 

  28. Puri, R.R.: Mathematical Methods of Quantum Optics. Springer, Berlin (2001)

    MATH  Google Scholar 

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Authors and Affiliations

  1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, Jiangxi, 330022, China

    Xue-xiang Xu

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  1. Xue-xiang Xu
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Correspondence to Xue-xiang Xu.

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Xu, Xx. Time Evolution of Husimi Function for Photon-Added Squeezed Vacuum State in Dissipative Channel. Int J Theor Phys 49, 2200–2209 (2010). https://doi.org/10.1007/s10773-010-0407-1

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  • DOI: https://doi.org/10.1007/s10773-010-0407-1

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