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The dynamics of quantum discord and entanglement of two atoms coupled to two spatially separate cavities in cavity QED

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Abstract

In this paper, we study the dynamics of quantum discord and entanglement of two identical two-level atoms A and B coupled with two spatially separate single-mode high-Q cavities a and b in cavity QED, respectively. Making use of geometrical depiction of quantum discord and entanglement of formation (EoF), we show that there exists quantum discord sudden death (DSD) as well as entanglement sudden death (ESD) and the time interval of DSD is shorter than that of ESD in the presented quantum system. In addition, the rate of decreasing of quantum discord is slower than that of entanglement. We have shown that the amount of quantum discord and entanglement and the relative ordering between quantum discord and quantum entanglement depend on the purity p in the presented quantum system. And we have also shown that quantum discord and entanglement of the qubits AB can transfer to the cavities ab and vice versa. Moreover, the transfer of quantum discord is independent of the purity p but that of quantum entanglement is dependent of the purity p. Surprisingly, the sudden changes of quantum discord of qubits and cavities are observed when the initial states of qubits are mixed.

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References

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

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

    Article  ADS  Google Scholar 

  3. 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 

  4. C.H. Bennett, D.P. DiVincenzo, C.A. Fuchs, T. Mor, E. Rains, P.W. Shor, J.A. Smolin, W.K. Wootters, Phys. Rev. A 59, 1070 (1999)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. A. Datta, G. Vidal, Phys. Rev. A 75, 042310 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  8. A. Datta, G. Vidal, Phys. Rev. A 80, 052304 (2009)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. F.F. Fanchini, T. Werlang, C.A. Brasil, L.G.E. Arruda, A.O. Caldeira, Phys. Rev. A 81, 052107 (2010)

    Article  ADS  Google Scholar 

  11. J. Maziero, T. Werlang, F.F. Fanchini, L.C. Céleri, R.M. Serra, Phys. Rev. A 81, 022116 (2010)

    Article  ADS  Google Scholar 

  12. J. Maziero, L.C. Céleri, R.M. Serra, V. Vedral, Phys. Rev. A 80, 044102 (2009)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. J.S. Xu, X.Y. Xu, C.F. Li, C.J. Zhang, X.B. Zou, G.C. Guo, Nat. Commun. 1, 7 (2010)

    Google Scholar 

  15. B. Wang, Z.Y. Xu, Z.Q. Chen, M. Feng, Phys. Rev. A 81, 014101 (2010)

    Article  ADS  Google Scholar 

  16. A. Auyuanet, L. Davidovich, Phys. Rev. A 82, 032112 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  17. Z.Y. Sun, L. Li, K.L. Yao, G.H. Du, J.W. Liu, B. Luo, N. Li, H.N. Li, Phys. Rev. A 82, 032310 (2010)

    Article  ADS  Google Scholar 

  18. T. Werlang, S. Souza, F.F. Fanchini, C.J.V. Boas, Phys. Rev. A 80, 024103 (2009)

    Article  ADS  Google Scholar 

  19. B. Bylicka, D. Chruściński, Phys. Rev. A 81, 062102 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  20. M.S. Sarandy, Phys. Rev. A 80, 022108 (2009)

    Article  ADS  Google Scholar 

  21. A. Ferraro, L. Aolita, D. Cavalcanti, F.M. Cucchietti, A. Acín, Phys. Rev. A 81, 052318 (2010)

    Article  ADS  Google Scholar 

  22. B. Dakić, V. Vedral, Č. Brukner, Phys. Rev. Lett. 105, 190502 (2010)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  24. N. Li, S. Luo, Phys. Rev. A 76, 032327 (2007)

    Article  ADS  Google Scholar 

  25. S. Luo, Phys. Rev. A 77, 022301 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  27. M.D. Lang, C.M. Caves, Phys. Rev. Lett. 105, 150501 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  29. M. Ali, A.R.P. Rau, G. Alber, Phys. Rev. A 82, 069902 (2010)

    Article  ADS  Google Scholar 

  30. L. Mazzola, J. Piilo, S. Maniscalco, Phys. Rev. Lett. 104, 200401 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  31. H. Kim, M.R. Hwang, E. Jung, D.K. Park, Phys. Rev. A 81, 052325 (2010)

    Article  ADS  Google Scholar 

  32. B. Li, Z.X. Wang, S.M. Fei, Phys. Rev. A 83, 022321 (2011)

    Article  ADS  Google Scholar 

  33. B. Bellomo, R. Lo France, G. Compagno, Phys. Rev. A 77, 032342 (2008)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. School of Physics & Material Science, Anhui University, Hefei, 230039, P.R. China

    T. Wu & L. Ye

  2. School of Physics & Electronics Science, Fu Yang Normal College, Fuyang, 236037, P.R. China

    T. Wu

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  1. T. Wu
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  2. L. Ye
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Correspondence to T. Wu.

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Wu, T., Ye, L. The dynamics of quantum discord and entanglement of two atoms coupled to two spatially separate cavities in cavity QED. Eur. Phys. J. D 66, 261 (2012). https://doi.org/10.1140/epjd/e2012-30384-9

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  • DOI: https://doi.org/10.1140/epjd/e2012-30384-9

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