Skip to main content
Log in

Quantum correlation dynamics of a three-qubit system coupled to an XY spin chain

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We study the dynamics of multipartite quantum correlations measured by the lower bound of concurrence and quantum discord in a three-qubit system coupled to an XY spin chain. For the initial pure GHZ and W state, we find the lower bound of entanglement is more robust than the quantum discord against the decoherence induced by the spin environment. But for the Werner state, the sudden death of discord is not observed even in the presence of entanglement sudden death. By comparing the evolutions for the GHZ and W states, we show that the W state preserves more quantum correlations than the GHZ state. In addition, we put research emphasis on the relation between the dynamics of multipartite quantum correlations and the quantum phase transition of the spin environment.

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. C.H. Bennett, D.P. Sicincenzo, Nature 404, 247 (2000)

    Article  ADS  Google Scholar 

  2. M. Horodecki, P. Horodecki, R. Horodecki, J. Oppenheim, A. Sen, U. Sen, B. Synak-Radtke, Phys. Rev. A 71, 062307 (2005)

    Article  ADS  Google Scholar 

  3. J. Niset, N.J. Cerf, Phys. Rev. A 74, 052103 (2006)

    Article  ADS  Google Scholar 

  4. A. Datta, S.T. Flammia, C.M. Caves, Phys. Rev. A 72, 042316 (2005)

    Article  ADS  Google Scholar 

  5. H. Ollivier, W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)

    Article  ADS  Google Scholar 

  6. A. Datta, A. Shaji, C.M. Caves, Phys. Rev. Lett. 100, 050502 (2008)

    Article  ADS  Google Scholar 

  7. B.P. Lanyon, M. Barbieri, M.P. Almedia, A.G. White, Phys. Rev. Lett. 101, 200501 (2008)

    Article  ADS  Google Scholar 

  8. S. Luo, Phys. Rev. A 77, 042303 (2008)

    Article  ADS  Google Scholar 

  9. M. Ali, A.R.P. Rau, G. Alber, Phys. Rev. A 81, 042105 (2010)

    Article  ADS  Google Scholar 

  10. T. Werlang, G. Rigolin, Phys. Rev. A 81, 044101 (2010)

    Article  ADS  Google Scholar 

  11. T. Werlang, C. Trippe, G.A.P. Ribeiro, G. Rigolin, Phys. Rev. Lett. 105, 095702 (2010)

    Article  ADS  Google Scholar 

  12. J.L. Guo, Y.J. Mi, H.S. Song, Eur. Phys. J. D 66, 24 (2012)

    Article  ADS  Google Scholar 

  13. Y.J. Mi, Int. J. Theor. Phys. 51, 544 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  14. Ĉ. Brukner, M. Żukowski, J.W. Pan, A. Zeilinger, Phys. Rev. Lett. 92, 127901 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  15. H.T. Quan, Z. Song, X.F. Liu, P. Zanardi, C.P. Sun, Phys. Rev. Lett. 96, 140604 (2006)

    Article  ADS  Google Scholar 

  16. Z. Sun, X.G. Wang, C.P. Sun, Phys. Rev. A 75, 062312 (2007)

    Article  ADS  Google Scholar 

  17. X.S. Ma, A.M. Wang, Y. Cao, Phys. Rev. B 76, 155327 (2007)

    Article  ADS  Google Scholar 

  18. X.X. Yi, H.T. Cui, L.C. Wang, Phys. Rev. A 74, 054102 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  19. Z.G. Yuan, P. Zhang, S.S. Li, Phys. Rev. A 75, 012102 (2007)

    Article  ADS  Google Scholar 

  20. Z.G. Yuan, P. Zhang, S.S. Li, Phys. Rev. A 76, 042118 (2007)

    Article  ADS  Google Scholar 

  21. X.S. Ma, A.M. Wang, Y. Cao, Phys. Rev. B 76, 155327 (2007)

    Article  ADS  Google Scholar 

  22. X.S. Ma, H.S. Cong, J.Y. Zhang, A.M. Wang, Eur. Phys. J. D 48, 285 (2008)

    Article  ADS  Google Scholar 

  23. W.W. Cheng, J.M. Liu, Phys. Rev. A 79, 052320 (2009)

    Article  ADS  Google Scholar 

  24. J.L. Guo, H.S. Song, J. Phys. B: At. Mol. Opt. Phys. 42, 245501 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  25. J.L. Guo, H.S. Song, Eur. Phys. J. D 61, 791 (2011)

    Article  ADS  Google Scholar 

  26. B.Q. Liu, B. Shao, J. Zou, Phys. Rev. A 82, 062119 (2010)

    Article  ADS  Google Scholar 

  27. Z. Sun, X.M. Lu, L.J. Song, J. Phys. B: At. Mol. Opt. Phys. 43, 215504 (2010)

    Article  ADS  Google Scholar 

  28. Z.J. Xi, X.M. Lu, Z. Sun, Y.M. Li, J. Phys. B: At. Mol. Opt. Phys. 44, 215501 (2011)

    Article  ADS  Google Scholar 

  29. L.M. Duan, E. Demler, M.D. Lukin, Phys. Rev. Lett. 91, 090402 (2003)

    Article  ADS  Google Scholar 

  30. J.K. Pachos, M.B. Plenio, Phys. Rev. Lett. 93, 056402 (2004)

    Article  ADS  Google Scholar 

  31. C.H. Bennett, H.J. Brenstein, S. Popescu, R. Jozsa, Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  34. A.R.R. Carvahlo, F. Mintert, A. Buchleitner, Phys. Rev. Lett. 93, 230501 (2004)

    Article  ADS  Google Scholar 

  35. F. Mintert, A.R.R. Carvahlo, M. Kus, A. Buchleitner, Phys. Rep. 415, 207 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  36. M. Li, S.M. Fei, Z.X. Wang, J. Phys. A 42, 145303 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  37. M. Siomau, S. Fritzsche, Eur. Phys. J. D 60, 397 (2010)

    Article  ADS  Google Scholar 

  38. K. Modi, T. Paterek, W. Son, V. Vedral, M. Williamson, Phys. Rev. Lett. 104, 080501 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  39. C.C. Rulli, M.S. Sarandy, Phys. Rev. A 84, 042109 (2011)

    Article  ADS  Google Scholar 

  40. W. Dur, G. Vidal, J.I. Cirac, Phys. Rev. A 62, 062314 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  41. P. Agrawal, A. Pati, Phys. Rev. A 74, 062320 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  43. M. Modi, A. Brodutch, H. Cable, T. Paterek, V. Vedral, Rev. Mod. Phys. 84, 1655 (2012)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jin-Liang Guo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guo, JL., Long, GL. Quantum correlation dynamics of a three-qubit system coupled to an XY spin chain. Eur. Phys. J. D 67, 53 (2013). https://doi.org/10.1140/epjd/e2013-30631-7

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2013-30631-7

Keywords

Navigation