Skip to main content
Log in

Wigner Function, Husimi Function and Tomogram of Atomic Coherent State as Energy Eigenstate of Two Coupled Oscillators

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

Abstract

In this work, we find that a set of energy eigenstates of the Hamiltonian of two coupled oscillators can be classified as the atomic coherent state in the Schwinger Bosonic realization. The statistical properties of these states are also discussed by analytically calculating their Wigner function, Husimi function and tomogram.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    MATH  Google Scholar 

  2. Klauder, J.R., Skagerstam, B.S.: Coherent States. World Scientific, Singapore (1985)

    MATH  Google Scholar 

  3. Arecchi, F.T., Courtens, E., Gilmore, R., Thomas, H.: Phys. Rev. A 6, 2211 (1972)

    Article  ADS  Google Scholar 

  4. Narducci, L.M., Bowden, C.M., Bluemel, V., Garrazana, G.P., Tuft, R.A.: Phys. Rev. A 11, 973 (1975)

    Article  ADS  Google Scholar 

  5. Hu, L.Y., Fan, H.Y.: Phys. Scr. 79, 035004 (2009)

    Article  ADS  Google Scholar 

  6. Fan, H.Y., Zai, H.R.: Can. J. Phys. 67, 152 (1989)

    Google Scholar 

  7. Wigner, E.: Phys. Rev. 40, 749 (1932)

    Article  MATH  ADS  Google Scholar 

  8. Agarwal, G.S., Wolf, E.: Phys. Rev. D 2, 2161 (1970)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. Fan, H.Y., Zaidi, H.R.: Phys. Lett. A 124, 303 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  10. Glauber, R.J.: Phys. Rev. 130, 2529 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  11. Glauber, R.J.: Phys. Rev. 131, 2766 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  12. Fan, H.Y., Chen, J.H.: Phys. Lett. A 303, 311 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  16. Xu, X.X.: Int. J. Theor. Phys. 49, 2200 (2010)

    Article  MATH  Google Scholar 

  17. Fan, H.Y., Guo, Q.: Phys. Lett. A 358, 203 (2006)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. Fan, H.Y.: Phys. Rev. A 65, 064102 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  19. Fan, H.Y.: Yu,. G.C.:. Mod. Phys. Lett. A 15, 499 (2000)

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

  21. Xu, X.X., Hu, L.Y., Fan, H.Y.: Opt. Commun. 283, 1801 (2010)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xue-Xiang Xu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xu, XX. Wigner Function, Husimi Function and Tomogram of Atomic Coherent State as Energy Eigenstate of Two Coupled Oscillators. Int J Theor Phys 50, 1643–1655 (2011). https://doi.org/10.1007/s10773-011-0673-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0673-6

Keywords

Navigation