Skip to main content
SpringerLink
Log in

Negative Correlations and Entanglement in Higher-Spin Dicke States

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

Abstract

We consider entanglement criteria based on the spin squeezing inequalities for arbitrary spin systems. Here we use the negative correlations to detect the entanglement in the system with exchange symmetry. For arbitrary spin systems, we can find that the state is entangled, when the minimal pairwise correlation is negative. Then we give a parameter which is defined by the collective angular momentum operator, to detect the entanglement for the Dicke state with N spin −1 particles, and the results are as the same as negative correlation. We also consider the directions of negative correlation, the state is entangled in two orthogonal directions for the superposition of Dicke state without parity.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Rev. Mod. Phys. 81, 865 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  2. Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  3. Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  4. Duan, L.M., Cirac, J.I., Zoller, P.: Phys. Rev. A 65, 033619 (2002)

    Article  ADS  Google Scholar 

  5. Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. Fernholz, T., Krauter, H., Jensen, K., Sherson, J.F., Srensen, A.S., Polzik, E.S.: Phys. Rev. Lett. 101, 073601 (2008)

    Article  ADS  Google Scholar 

  8. Troiani, F., Siloi, I.: Phys. Rev. A 86, 032330 (2012)

    Article  ADS  Google Scholar 

  9. Vitagliano, G., Hyllus, P., Egusquiza, I.N.L., Tóth, G.: Phys. Rev. Lett. 107, 240502 (2011)

    Article  ADS  Google Scholar 

  10. Müstecaplıoğlu, O.E., Zhang, M., You, L.: Phys. Rev. A 66, 033611 (2002)

    Article  ADS  Google Scholar 

  11. He, Q.Y., Peng, S.G., Drummond, P.D., Reid, M.D.: Phys. Rev. A 84, 022107 (2011)

    Article  ADS  Google Scholar 

  12. Jin, G.R., Kim, S.W.: Phys. Rev. A 76, 043621 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. Ma, J., Wang, X., Sun, C., Nori, F.: Phys. Rep. 509(2-3), 89 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  15. Srensen, A.S., Mlmer, K.: Phys. Rev. Lett. 86, 4431 (2001)

    Article  ADS  Google Scholar 

  16. Sorensen, A., Duan, L.M., Cirac, J.I., Zoller, P.: Nature 409(6816), 63 (2001)

    Article  ADS  Google Scholar 

  17. Ulam-Orgikh, D., Kitagawa, M.: Phys. Rev. A 64, 052106 (2001)

    Article  ADS  Google Scholar 

  18. Wang, X., Sanders, B.C.: Phys. Rev. A 68, 012101 (2003)

    Article  ADS  Google Scholar 

  19. Wang, X., Miranowicz, A., Liu, Y.X., Sun, C.P., Nori, F.: Phys. Rev. A 81, 022106 (2010)

    Article  ADS  Google Scholar 

  20. Wang, X., Ma, J., Song, L., Zhang, X., Wang, X.: Phys. Rev. E 82, 056205 (2010)

    Article  ADS  Google Scholar 

  21. Wang, X., M?lmer, K.: Eur. Phys. J. D 18(3), 385 (2002)

  22. Yin, X., Wang, X., Ma, J., Wang, X.: J. Phys. B Atomic Mol. Phys. 44(1), 015501 (2011)

    Article  ADS  Google Scholar 

  23. Tóth, G., Knapp, C., Gühne, O., Briegel, H.J.: Phys. Rev. Lett. 99, 250405 (2007)

    Article  ADS  Google Scholar 

  24. Tóth, G., Knapp, C., Gühne, O., Briegel, H.J.: Phys. Rev. A 79, 042334 (2009)

    Article  ADS  Google Scholar 

  25. Bertlmann, R., Durstberger, K., Hiesmayr, B., Krammer, P.: Phys. Rev. A 72, 052331 (2005)

    Article  ADS  Google Scholar 

  26. Langford, N.K., Dalton, R.B., Harvey, M.D., O’Brien, J.L., Pryde, G.J., Gilchrist, A., Bartlett, S.D., White, A.G.: Phys. Rev. Lett. 93, 053601 (2004)

    Article  ADS  Google Scholar 

  27. Derkacz, L., Jakóbczyk, L.: Phys. Rev. A 76, 042304 (2007)

    Article  ADS  Google Scholar 

  28. Dicke, R.H.: Phys. Rev. 93, 99 (1954)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by the NFRPC through Grant No. 2012CB921602 and the NSFC through Grants No. 11305020, No. 11475146, No. 11347013 and No. 11447232.

Author information

Authors and Affiliations

  1. Department of Physics, Changchun University of Science and Technology, Changchun, 130022, People’s Republic of China

    Xiaoqian Wang

  2. Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, 310027, People’s Republic of China

    Wei Zhong & Xiaoguang Wang

  3. Laboratory of Quantum Engineering and Quantum Materials, SPTE, South China Normal University, Guangzhou, 510006, People’s Republic of China

    Wei Zhong

Authors
  1. Xiaoqian Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wei Zhong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xiaoguang Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiaoqian Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, X., Zhong, W. & Wang, X. Negative Correlations and Entanglement in Higher-Spin Dicke States. Int J Theor Phys 55, 4595–4604 (2016). https://doi.org/10.1007/s10773-016-3081-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-3081-0

Keywords

Search

Navigation