Skip to main content
Log in

Entangled Property of a Multipartite State Superposed by Three Dicke States with Arbitrary Relative Phases

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

Abstract

With spin squeezing parameter we investigate the entangled property of a multipartite state superposed by three Dicke states with arbitrary relative phases. We first derive the mean spin direction, the optimally squeezed angle, and then numerically calculate the dependence of spin squeezing parameter on the superposition coefficients, the relative phases and the forms of the Dicke states. It’s shown that the entangled property depends on these parameters.

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.

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Li, S.-S., Huang, Y.-B.: Int. J. Quantum Inf. 6, 561 (2008)

    Article  MATH  Google Scholar 

  2. Li S.-S., Nie, Y.-Y., Hong, Z.-H., Yi, X.-J., Huang, Y.-B.: Commun. Theor. Phys. 50, 633 (2008)

    Article  ADS  Google Scholar 

  3. Huang, Y.-B., Li, S.-S., Nie. Y.-Y.: Int. J. Theor. Phys. 48, 95 (2009)

    Article  MATH  Google Scholar 

  4. Li, S.-S.: Int. J. Theor. Phys. 51, 724 (2012)

    Article  MATH  Google Scholar 

  5. Wang, Z.S., Li, Y.-h., Xu, H., Hu, L.-y., Nie, Y.-y., Guo, L.P., Huang, M., Pan, H.: Int. J. Theor. Phys. 51, 2850 (2012)

    Article  MATH  Google Scholar 

  6. Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootters, W.K.: Phys. Rev. A 54, 3824 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  7. Hills, S., Wootters, W.K.: Phys. Rev. Lett. 78, 5022 (1997)

    Article  ADS  Google Scholar 

  8. Yin, X., Wang, X., Ma, J., Wang, X.: J. Phys. B: At. Mol. Opt. Phys 44, 015501 (2011)

    Article  ADS  Google Scholar 

  9. Kitagawa, M., Ueda, M.: Phys. Rev. A 47, 5138 (1993)

    Article  ADS  Google Scholar 

  10. Wineland, D.J., Bollinger, J.J., Itano, W.M., Heinzen, D.J.: Phys. Rev. A 50, 67 (1994)

    Article  ADS  Google Scholar 

  11. Jin, G.R., Law, C.K.: Phys. Rev. A 78, 063620 (2008)

    Article  ADS  Google Scholar 

  12. Liu, W.-F., Zhang, L.-H., Li, C.-J.: Int. J. Theor. Phys. 49, 2463 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  13. Li, S.-S.: Int. J. Theor. Phys. 50, 719 (2011)

    Article  MATH  Google Scholar 

  14. Desheng, L., Li, S.-S.: Int. J. Theor. Phys. 52, 62 (2013)

    Article  MATH  Google Scholar 

  15. Yi, X.-J., Huang, G.-Q., Wang, J.-M.: Int. J. Theor. Phys. 51, 2960 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  16. Jiang, D.-Y.: Int. J. Theor. Phys. 52, 4308 (2013)

    Article  MATH  Google Scholar 

  17. Linden, N., Popescu, S., Smolin, J.A.: Phys. Rev. Lett. 97, 100502 (2006)

    Article  ADS  Google Scholar 

  18. Li, Y., Castin, Y., Sinatra, A.: Phys. Rev. Lett. 100, 210401 (2008)

    Article  ADS  Google Scholar 

  19. Joshua, C., Wiseman, J.H.M.: J. Opt. B: Quantum Semiclass. Opt. 7, 14 (2005)

    Article  ADS  Google Scholar 

  20. Jin, G.-R., Liu, Y.-C., Liu, W.-M.: New J. Phys. 11, 073049 (2009)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Di-You Jiang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jiang, DY. Entangled Property of a Multipartite State Superposed by Three Dicke States with Arbitrary Relative Phases. Int J Theor Phys 53, 4414–4418 (2014). https://doi.org/10.1007/s10773-014-2191-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-014-2191-9

Keywords

Navigation