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Entanglement transfer from two-mode anti-correlated continuous-variable systems to a pair of localized discrete systems

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Abstract

We address the entanglement transfer from a bipartite continuous-variable(CV) system to a pair of localized discrete systems. The dynamics behavior can be implemented by two two-level atoms flying through spatially separated identical cavities where two quantized modes are injected. We assume each CV mode couples to one atom via the resonant Jaynes-Cummings interaction. The CV systems are initially prepared in a two-mode anti-correlated SU(2) coherent state, while with the initial atomic states of the cases: |g1|g2, |e1|e2 and |g1|e2, respectively. We find that the entanglement transfer for single-photon excitation case is more efficient than that for multi-photon excitation case. Under same conditions, we also note that the entanglement transfer is more efficient for SU(2) coherent state than for twin-bean (TWB) and pair-coherent (TMC) state. Besides, we show that, for a given total photon number of the initial SU(2) coherent state, the efficiency of entanglement transfer depends upon the distribution of photons in the two CV modes. We also consider the influences of the dissipation and the white noise on the entanglement transfer.

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References

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  3. J. Lee, M.S. Kim, H. Jeong, Phys. Rev. A 62, 032305 (2000)

    Article  ADS  Google Scholar 

  4. S. Takeda, M. Fuwa, A. Furusawa, Phys. Rev. Lett. 114, 100501 (2015)

    Article  ADS  Google Scholar 

  5. M. Zukowski, A. Zeilinger, M.A. Horne, A.K. Ekert, Phys. Rev. Lett. 71, 4287 (1993)

    Article  ADS  Google Scholar 

  6. S. Bose, V. Vedral, P.L. Knight, Phys. Rev. A 57, 822 (1998)

    Article  ADS  Google Scholar 

  7. J.W. Pan, D. Bouwmeester, H. Weinfurter, A. Zeilinger, Phys. Rev. Lett. 80, 3891 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  8. W. Son, M.S. Kim, J. Lee, D. Ahn, J. Mod. Opt. 49, 1739 (2002)

    Article  ADS  Google Scholar 

  9. W. Son, M.S. Kim, Phys. Rev. Lett. 92, 197901 (2004)

    Article  ADS  Google Scholar 

  10. J. Lee, M. Paternostro, M.S. Kim, S. Bose, Phys. Rev. Lett. 96, 080501 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  11. P. Blanco, D. Mundarain, J. Phys. B 44, 105501 (2011)

    Article  ADS  Google Scholar 

  12. M. Paternostro, W. Son, K.S. Kim, G. Falci, G.M. Palma, Phys. Rev. A 70, 022320 (2004)

    Article  ADS  Google Scholar 

  13. P.J. dos Reis, S.S. Sharma, N.K. Sharma, Eur. Phys. J. D 63, 84 (2013)

    Article  ADS  Google Scholar 

  14. A. Retzker, J.I. Cirac, B. Reznik, Phys. Rev. Lett. 94, 050504 (2005)

    Article  ADS  Google Scholar 

  15. J. Zou, J.G. Li, B. Shao, J. Li, Q.S. Li, Phys. Rev. A 73, 022312 (2006)

    Article  ADS  Google Scholar 

  16. J. Lee, M. Paternostro, M.S. Kim, S. Bose, Phys. Rev. Lett. 96, 080501 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  17. F. Casagrande, A. Lulli, M.G.A. Paris, Phys. Rev. A 75, 032336 (2007)

    Article  ADS  Google Scholar 

  18. J. Zou, G.L. Jun, S. Bin, L. Jian, S.L. Qian, Phys. Rev. A 73, 042319 (2006)

    Article  ADS  Google Scholar 

  19. P. Chang, B. Shao, G.L. Long, Phys. Lett. A 372, 48 (2008)

    Google Scholar 

  20. F. Casagrande, A. Lulli, M.G.A. Paris, Eur. Phys. J. Special Topics 160, 71 (2008)

    Article  ADS  Google Scholar 

  21. F. Casagrande, A. Lulli, M.G.A. Paris, Phys. Rev. A 79, 022307 (2009)

    Article  ADS  Google Scholar 

  22. M.D. Reid, P.D. Drummond, Phys. Rev. Lett. 60, 2731 (1988)

    Article  ADS  Google Scholar 

  23. M.D. Reid, Phys. Rev. A 40, 913 (1989)

    Article  ADS  Google Scholar 

  24. Z.Y. Ou, S.F. Pereira, H.J. Kimble, K.C. Peng, Phys. Rev. Lett. 68, 3663 (1992)

    Article  ADS  Google Scholar 

  25. S. Scheel, D.G. Welsch, Phys. Rev. A 64, 063811 (2001)

    Article  ADS  Google Scholar 

  26. B.C. Sanders, Phys. Rev. A 45, 6811 (1992)

    Article  ADS  Google Scholar 

  27. S.J. van Enk, O. Hirota, Phys. Rev. A 64, 022313 (2001)

    Article  ADS  Google Scholar 

  28. X.G. Wang, J. Phys. A 35, 165 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  29. S.L. Braunstein, P. van Look, Rev. Mod. Phys. 77, 513 (2005)

    Article  ADS  Google Scholar 

  30. F. Casagrande, A. Lulli, Eur. Phys. J. D 46, 165 (2007)

    Article  ADS  Google Scholar 

  31. M. Bina, F. Casagrande, A. Lulli, M.G. Genoni, M.G. Paris, Int. J. Quantum Inf. 09, 83 (2011)

    Article  Google Scholar 

  32. M. Bina, F. Casagrande, A. Lulli, Eur. Phys. J. D 49, 257 (2008)

    Article  ADS  Google Scholar 

  33. M. Bina, F. Casagrande, M.G. Genoni, A. Lulli, M.G.A. Paris, Phys. Scr. T 140, 14015 (2010)

    Article  ADS  Google Scholar 

  34. M. Bina, F. Casagrande, A. Lulli, Int. J. Quantum Inf. 07, 229 (2009)

    Article  Google Scholar 

  35. V. Bužek, T. Quang, J. Opt. Am. B 6, 2447 (1989)

    Article  ADS  Google Scholar 

  36. A. Rauschenbeutel, P. Bertet, S. Osnaghi, G. Nogues, M. Brune, J.M. Raimond, S. Haroche, Phys. Rev. A 64, 050301(R) (2001)

    Article  ADS  Google Scholar 

  37. H. Wang, M. Mariantoni. R.C. Bialczak, M. Lenander, E. Lucero, M. Neeley, A.D. O’Connell, D. Sank, M. Weides, J. Wenner, T. Yamamoto, Y. Yin, J. Zhao, J.M. Martinis, A.N. Cleland, Phys. Rev. Lett. 106, 060401 (2011)

    Article  ADS  Google Scholar 

  38. A.M. Perelomoav, Commun. Math. Phys. 26, 222 (1972)

    Article  ADS  Google Scholar 

  39. J.M. Radcliffe, J. Phys. A 4, 313 (1971)

    Article  ADS  MathSciNet  Google Scholar 

  40. C.G. Chistopher, G. Rainer, J. Mod. Optic 44, 41 (1997)

    Google Scholar 

  41. W.K. Lai, V. Buzek, P.L. Knight, Phys. Rev. A 44, 2003 (1991)

    Article  ADS  Google Scholar 

  42. V. Buiek, T. Quang, J. Opt. Soc. Am. B 6, 12 (1989)

    Google Scholar 

  43. A. Peres, Phys. Rev. Lett. 77, 1413 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  44. M. Horodecki, P. Horodecki, R.P. Horodecki, Phys. Lett. A 223, 1 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  45. S. Hill, W.K. Wootters, Phys. Rev. Lett. 78, 5022 (1997)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  47. M.B. Plenio, S.F. Huelga, Phys. Rev. Lett. 88, 197901 (2002)

    Article  ADS  Google Scholar 

  48. M. Bina, F. Casagrande, M.G. Genoni, A. Lulli, M.G.A. Paris, Eur. Phys. Lett. 90, 30010 (2010)

    Article  ADS  Google Scholar 

Download references

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Correspondence to Zhen-Biao Yang.

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Ran, D., Yang, ZB. Entanglement transfer from two-mode anti-correlated continuous-variable systems to a pair of localized discrete systems. Eur. Phys. J. D 70, 89 (2016). https://doi.org/10.1140/epjd/e2016-60622-y

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