Skip to main content
SpringerLink
Log in

On the Two-Body Permutation-Parity Combinatorial Transformation

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Based on the coherent entangled state representation we find a new unitary operator which plays role of two-body permutation-parity combinatorial transformation. We employ the method of integration within ordered product of operators to derive this operator, its explicit form and normally ordered form are both obtained. The unitary operator for permutation-parity-squeezing combinatorial transformation is also obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)

    Book  Google Scholar 

  2. Hu, L.Y., Wei, C.P., Huang, J.H., Liu, C.J.: Optics Commun. 323, 68 (2014)

    Article  ADS  Google Scholar 

  3. Bollinger, J.J., Itano, W.M., Wineland, D.J., Heinzen, D.J.: Phys. Rev. A 54, R4649–R4652 (1996)

    Article  ADS  Google Scholar 

  4. Leibfried, D., Barrett, M.D., Schaetz, T., Britton, J., Chiaverini, J., Itano, W.M., Jost, J.D., Langer, C., Wineland, D.J.: Science 304, 1476–1478 (2004)

    Article  ADS  Google Scholar 

  5. Fan, H.-Y.: Int. J. Mod. Phys. B 18, 1387 (2004)

    Article  ADS  MATH  Google Scholar 

  6. Wünsche, A.: J. Opt. B: Quantum Semiclass. Opt. 1, R11 (1999)

    Article  Google Scholar 

  7. Fan, H.Y., Lu, H.L.: J. Phys. A: Math. Gen. 37, 10993 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Yuan, H.C., Li, H.M., Xu, X.F.: Chin. Phys. B 22, 060301 (2013)

    Article  ADS  Google Scholar 

  9. Fan, H.Y., Lu, H.L., Fan, Y.: Ann. Phys. 321, 480 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Li, X.C., Xie, C.M., Fan, H.Y.: Chin. Phys. B 21, 080304 (2012)

    Article  ADS  Google Scholar 

  11. Hu, L.Y., Fan, H.Y.: Chin. Phys. B 18, 902 (2009)

    Article  ADS  Google Scholar 

  12. Fan, H.Y.: J. Opt. B, Quantum Semiclass. Opt. 5, R147 (2003)

    Article  ADS  Google Scholar 

  13. Fan, H.Y., Zaidi, H.R., Klauder, J.R.: Phys. Rev. D 35, 1831 (1987)

    Article  MathSciNet  ADS  Google Scholar 

  14. Wang, S., Jiang, J.J., Li, H.Q.: Chin. Phys. Lett. 26, 0603004 (2009)

    Google Scholar 

  15. Spiridonov, V.: Phys. Rev. A 52, 1909 (1995)

    Article  ADS  Google Scholar 

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

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Huainan Normal University, Huainan, Anhui, 232001, China

    Hai-jun Yu, Jian-ming Du & Gang Ren

Authors
  1. Hai-jun Yu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jian-ming Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Gang Ren
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hai-jun Yu.

Additional information

Work supported by the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant No. KJ2014A236)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yu, Hj., Du, Jm. & Ren, G. On the Two-Body Permutation-Parity Combinatorial Transformation. Int J Theor Phys 54, 3747–3752 (2015). https://doi.org/10.1007/s10773-015-2613-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-015-2613-3

Keywords

Search

Navigation