Skip to main content
SpringerLink
Log in

Yangian algebra in the bi-qubit system and mixed light pseudoscalar meson state

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

The applications of the general and reduced Yangian Y(sl(2)) and Y(su(3)) algebras are discussed in the bi-qubit system and mixed light pseudoscalar meson state. By taking a special constraint, the representation of Y(sl(2)) and Y(su(3)) can be divided into two 2 × 2 and three 3 × 3 blocks diagonal, respectively. The effects of every generator of Y(sl(2)) and Y(su(3)) on entanglement are represented in detail. We find that the general ones are not able to make the initial states disentangled by acting on the initial states; however, the reduced ones are able to make the initial states disentangled. In addition, we show the effects of Y(su(3)) generators on the decay channel and give some possible the decay channels.

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. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000)

    MATH  Google Scholar 

  2. T. Yu, J.H. Eberly, Phys. Rev. B 66, 193306 (2002)

    Article  ADS  Google Scholar 

  3. T. Yu, J.H. Eberly, J. Phys. B 68, 165322 (2003)

    Google Scholar 

  4. V. Privman, D. Tolkunov, Proc. SPIE 5815, 187 (2005)

    Article  ADS  Google Scholar 

  5. T. Yu, J.H. Eberly, Phys. Rev. Lett. 93, 140404 (2004)

    Article  ADS  Google Scholar 

  6. M. Yonac, T. Yu, J.H. Eberly, J. Phys. B 39, 621 (2006)

    ADS  Google Scholar 

  7. M. Ikram, F.L. Li, M.S. Zubairy, Phys. Rev. A 75, 062336 (2007)

    Article  ADS  Google Scholar 

  8. X.F. Cao, H. Zheng, Phys. Rev. A 77, 022320 (2008)

    Article  ADS  Google Scholar 

  9. S. Mancini, Phys. Rev. A 73, 010304(R) (2006)

    Article  MathSciNet  ADS  Google Scholar 

  10. S. Mancini, H.M. Wiseman, Phys. Rev. A 75, 012330 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  11. S. Mancini, J. Wang, Eur. Phys. J. D 32, 257 (2010)

    Article  ADS  Google Scholar 

  12. M.P. Almeida, F. de Melo, M. Hor-Meyll, A. Salles, S.P. Walborn, P.H. Souto Ribeiro, L. Davidovich, Science 316, 579 (2007)

    Article  ADS  Google Scholar 

  13. A.R.P. Rau, M. Ali, G. Alber, Europhys. Lett. 82, 40002 (2008)

    Article  ADS  Google Scholar 

  14. D. Bernard, M. Gaudin, F.D.M. Haldane, V. Pasquier, J. Phys. A 26, 5219 (1993)

    MathSciNet  ADS  MATH  Google Scholar 

  15. D.B. Uglov, V.E. Korepin, Phys. Lett. A 190, 238 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  16. F. Göhmann, V. Inozemtsev, Phys. Lett. A 214, 161 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. A. Polychronakos, Phys. Rev. Lett. 69, 703 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. F.D.M. Haldane et al., Phys. Rev. Lett. 69, 2021 (1992) and the references therein

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. F.D.M. Haldane, arXiv:cond-mat/9401001v3 (1994)

  20. M. Wadati, Phys. Rev. Lett. 60, 635 (1988)

    Article  MathSciNet  Google Scholar 

  21. M.L. Ge, Y.W. Wang, Phys. Rev. E 51, 2919 (1995)

    Article  ADS  Google Scholar 

  22. L.J. Tian, L.G. Qin, Eur. Phys. J. D 57, 123 (2010)

    Article  ADS  Google Scholar 

  23. L.J. Tian, Y.L. Jin, Y. Jiang, L.G. Qin, Eur. Phys. J. C 71, 1528 (2011)

    Article  ADS  Google Scholar 

  24. L.J. Tian, Y.L. Jin, Y. Jiang, Phys. Lett. B 686, 207 (2010)

    ADS  Google Scholar 

  25. L.-J. Tian, G.-H. Yang, H.-B. Zhang, J.-M. Hou, Chin. Phys. Lett. 23, 1659 (2006)

    Article  ADS  Google Scholar 

  26. M.L. Ge, K. Xue, Y.M. Cho, Phys. Lett. A 249, 358 (1998)

    Article  ADS  Google Scholar 

  27. F. Kheirandish, S.J. Akhtarshenas, H. Mohammadi, Phys. Rev. A 77, 042309 (2008)

    Article  ADS  Google Scholar 

  28. M. Gell Mann, Phys. Rev. 125, 1067 (1962)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. Y. Ne’eman, Nucl. Phys. 26, 128 (1958)

    Google Scholar 

  30. V. Chari, A. Pressley, Yangian and R-Matrix. L’Enseignement Matematique, vol. 36 (1990), p. 267

    Google Scholar 

  31. V. Chari, A. Pressley, A Guide to Quantum Groups (Cambridge University Press, Cambridge, 1994)

    MATH  Google Scholar 

  32. C.M. Bai, M.L. Ge, K. Xue, TH 1998-07, Tianjin, China, 1998

  33. B. Borasoy, R. Nißler, Eur. Phys. J. A 33, 95 (2007)

    ADS  Google Scholar 

  34. R. Escribano, J. Nadal, J. High Energy Phys. 05, 006 (2007)

    Article  ADS  Google Scholar 

  35. H.W. Ke, X.Q. Li, Z.T. Wei, Eur. Phys. J. C 69, 133 (2010)

    Article  ADS  Google Scholar 

  36. T. Huang, X.G. Wu, Eur. Phys. J. C 50, 771 (2007)

    Article  ADS  Google Scholar 

  37. F. Pan, G.Y. Lu, J.P. Draayer, Int. J. Mod. Phys. B 20, 1333 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  38. S. Hill, W.K. Wootters, Phys. Rev. Lett. 78, 5022 (1997)

    Article  ADS  Google Scholar 

  39. W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Shanghai University, Shanghai, 200444, China

    Li-Guo Qin, Li-Jun Tian & Guo-Hong Yang

Authors
  1. Li-Guo Qin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Li-Jun Tian
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Guo-Hong Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Li-Guo Qin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qin, LG., Tian, LJ. & Yang, GH. Yangian algebra in the bi-qubit system and mixed light pseudoscalar meson state. Eur. Phys. J. C 72, 1934 (2012). https://doi.org/10.1140/epjc/s10052-012-1934-0

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-012-1934-0

Keywords

Search

Navigation