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Genuine Tripartite Entanglement Dynamics and Transfer in a Triple Jaynes-Cummings Model

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Abstract

By applying the conjugate gradient method in the evaluation of three-qubit’s three-tangle, the genuine tripartite entanglement dynamics and transfer for a triple Jaynes-Cummings model is investigated numerically. In the triple Jaynes-Cummings model, three entangled atoms A, B and C locally interact with independent cavities a, b and c, respectively. By choosing two types of Greenberger-Horne-Zeilinger (GHZ)-like states as atomic initial states, we show the time evolutions of three-tangle for all non-interaction three-qubit subsystems and find that genuine tripartite entanglement dynamical behavior depends on the type of atomic initial state.

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References

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

    MATH  Google Scholar 

  2. Horodecki, R., et al.: Rev. Mod. Phys. 81, 865 (2009)

  3. Gühne, O., Toth, G.: Phys. Rep. 474, 1 (2009)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)

    Article  ADS  Google Scholar 

  7. Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)

    Article  ADS  Google Scholar 

  8. Knill, E., Laflamme, R., Milburn, G.J.: Nature (London) 409, 46 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. Yu, T., Eberly, J.H.: Phys. Rev. B 68, 165322 (2003)

    Article  ADS  Google Scholar 

  11. Jakobczyk, L., Jamroz, A.: Phys. Lett. A 333, 35 (2004)

    Article  ADS  MATH  Google Scholar 

  12. Bandyopadhyay, S., Lidar, D.A.: Phys. Rev. A 70, 010301 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  13. Tolkunov, D., Privman, V., Aravind, P.K.: Phys. Rev. A 71, 060308 (2005)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  15. Dodd, P.J., Halliwell, J.J.: Phys. Rev. A 69, 052105 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  16. Eberly, J.H., Yu, T.: Science 316, 555 (2007)

    Article  Google Scholar 

  17. Yu, T., Eberly, J.H.: Phys. Rev. Lett. 97, 140403 (2006)

    Article  ADS  Google Scholar 

  18. Yu, T., Eberly, J.H.: Opt. Commun. 264, 393 (2006)

    Article  ADS  Google Scholar 

  19. Ficek, Z., Tanas, R.: Phys. Rev. A 74, 024304 (2006)

    Article  ADS  Google Scholar 

  20. Liu, R.F., Chen, C.C.: Phys. Rev. A 74, 024102 (2006)

    Article  ADS  Google Scholar 

  21. Cui, H.T., Li, K., Yi, X.X.: Phys. Lett. A 365, 44 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  22. Yu, T., Eberly, J.H.: Quantum Inf. Comput. 7, 459 (2007)

    MathSciNet  MATH  Google Scholar 

  23. Santos, M.F., et al.: Phys. Rev. A 73, 040305 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  25. Hamdouni, Y., Fannes, M., Petruccione, F.: Phys. Rev. B 73, 245323 (2006)

    Article  ADS  Google Scholar 

  26. Cavalcanti, D., et al.: Phys. Rev. A 74, 042328 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  27. Cirone, M.A., et al.: Eur. Phys. Lett. 78, 30003 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  28. Ban, M., Kitajima, S., Shibata, F.: J. Phys. A: Math. Gen. 38, 7161 (2005)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  29. Bellomo, B., Lo, F.R., Compagno, G.: Phys. Rev. Lett. 99, 160502 (2007)

    Article  ADS  Google Scholar 

  30. Huang, J.H., Zhu, S.Y.: Phys. Rev. A 76, 062322 (2007)

    Article  ADS  Google Scholar 

  31. Man, Z.X., Xia, Y.J., An, N.B.: J. Phys. B: At. Mol. Opt. Phys. 41, 085503 (2008)

    Article  ADS  Google Scholar 

  32. Sainz, I., Björk, G.: Phys. Rev. A 76, 042313 (2007)

    Article  ADS  Google Scholar 

  33. Yönac, M., Yu, T., Eberly, J.H.: J. Phys. B: At. Mol. Opt. Phys. 39, S621 (2006)

    Article  Google Scholar 

  34. Yönac, M., Yu, T., Eberly, J.H.: J. Phys. B: At. Mol. Opt. Phys. 40, S45 (2007)

    Article  ADS  Google Scholar 

  35. Man, Z.X., Xia, Y.J., An, N.B.: J. Phys. B: At. Mol. Opt. Phys. 41, 155501 (2008)

    Article  ADS  Google Scholar 

  36. Huang, J.H., et al.: Phys. Rev. A 85, 014301 (2012)

    Article  ADS  Google Scholar 

  37. Almeida, M.P., et al.: Science 316, 579 (2007)

    Article  ADS  Google Scholar 

  38. Salles, A., et al.: Phys. Rev. A 78, 022322 (2008)

    Article  ADS  Google Scholar 

  39. Jaynes, E.T., Cummings, F.W.: Proc. IEEE 51, 89 (1963)

    Article  Google Scholar 

  40. Vidal, G., Werner, R.F.: Phys. Rev. A 65, 032314 (2002)

    Article  ADS  Google Scholar 

  41. Zhao, B.K., Deng, F.G., Zhang, F.S., Zhou, H.Y.: Phys. Rev. A 80, 052106 (2009)

    Article  ADS  Google Scholar 

  42. Zhao, B.K., Deng, F.G.: Phys. Rev. A 82, 014301 (2010)

    Article  ADS  Google Scholar 

  43. Coffman, V., Kundu, J., Wootters, W.K.: Phys. Rev. A 61, 052306 (2000)

    Article  ADS  Google Scholar 

  44. Wong, A., Christensen, N.: Phys. Rev. A 63, 044301 (2001)

    Article  ADS  Google Scholar 

  45. Bennett, C.H., et al.: Phys. Rev. A 54, 3824 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  46. Benatti, F., Narnhofer, A., Uhlmann, A.: Rep. Math. Phys. 38, 123 (1996)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  47. Uhlmann, A.: Phys. Rev. A 62, 032307 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  48. Nocedal, J., Wright, S.J.: Numerical Optimization. Springer (1999)

  49. Röthlisberger, B., et al.: Phys. Rev. Lett. 100, 100502 (2008)

    Article  Google Scholar 

  50. Röthlisberger, B., Lehmann, J., Loss, D.: Phys. Rev. A 80, 042301 (2009)

    Article  ADS  Google Scholar 

  51. Sheng, Y.B., Zhou, L., Zhao, S.M.: Phys. Rev. A 85, 042302 (2012)

    Article  ADS  Google Scholar 

  52. Zhou, L., et al.: J. Opt. Soc. Am. B 30, 71 (2013)

    Article  ADS  Google Scholar 

  53. Chang, Y., et al.: Chin. Sci. Bull. 59, 2835 (2014)

    Article  Google Scholar 

  54. Gu, B., et al.: Int. J. The. Phys. 53, 1337 (2014)

    Article  MATH  Google Scholar 

  55. Ali, M., Gühne, O.: J. Phys. B: At. Mol. Opt. Phys. 47, 055503 (2014)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant No. 11105061 and the China Postdoctoral Science Foundation under Grant No. 801130050411.

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Correspondence to Bao-Kui Zhao.

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Kim, KI., Li, HM. & Zhao, BK. Genuine Tripartite Entanglement Dynamics and Transfer in a Triple Jaynes-Cummings Model. Int J Theor Phys 55, 241–254 (2016). https://doi.org/10.1007/s10773-015-2656-5

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  • DOI: https://doi.org/10.1007/s10773-015-2656-5

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