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Transformation of bipartite non-maximally entangled states into a tripartite W state in cavity QED

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Abstract

We present two schemes for transforming bipartite non-maximally entangled states into a W state in cavity QED system, by using highly detuned interactions and the resonant interactions between two-level atoms and a single-mode cavity field. A tri-atom W state can be generated by adjusting the interaction times between atoms and the cavity mode. These schemes demonstrate that two bipartite non-maximally entangled states can be merged into a maximally entangled W state. So the scheme can, in some sense, be regarded as an entanglement concentration process. The experimental feasibility of the schemes is also discussed.

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References

  1. A Einstein, B Podolsky and N Rosen, Phys. Rev. 47, 777 (1935)

    Article  ADS  Google Scholar 

  2. E Schrödinger, Naturwissenschaften 23, 807 (1935)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  5. J J Bollinger, W M Itano, D J Wineland and D J Heinzen, Phys. Rev. A 54, R4649 (1996)

    Article  ADS  Google Scholar 

  6. K Mattle, H Weinfurter, P G Kwiat and A Zeilinger, Phys. Rev. Lett. 76, 4656 (1996)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  8. Q A Turchette, C S Wood, B E King, C J Myatt, D Leibfried, W M Itano, C Moroe and D J Wineland, Phys. Rev. Lett. 81, 3631 (1998)

    Article  ADS  Google Scholar 

  9. S B Zheng and G C Guo, Phys. Rev. Lett. 85, 2392 (2000)

    Article  ADS  Google Scholar 

  10. L B Chen and W Yang, Laser Phys. Lett. 11, 105201 (2014)

    Article  ADS  Google Scholar 

  11. J M Raimond, M Brune and S Haroche, Rev. Mod. Phys. 73, 565 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  12. R Lo Franco, G Compagno, A Messina and A Napoli, Phys. Rev. A 72, 053806 (2005)

    Article  ADS  Google Scholar 

  13. R Lo Franco, G Compagno, A Messina and A Napoli, Phys. Rev. A 76, 011804(R) (2007)

    Article  ADS  Google Scholar 

  14. D M Greenberger, M A Horne and A Zeilinger in: Bell’s theorem, quantum theory, and conceptions of the universe edited by M Kafatos (Kluwer Academics, Dordrecht, The Netherlands, 1989) pp. 73–76

  15. W Dür, G Vidal and J I Cirac, Phys. Rev. A 62, 062314 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  16. M Eibl, N Kiesel, M Bourennane, C Kurtsiefer and H Weinfurte, Phys. Rev. Lett. 92, 077901 (2004)

    Article  ADS  Google Scholar 

  17. G C Guo and Y S Zhang, Phys. Rev. A 65, 054302 (2002)

    Article  ADS  Google Scholar 

  18. G P Guo, C F Li, J Li and G C Guo, Phys. Rev. A 65, 042102 (2002)

    Article  ADS  Google Scholar 

  19. Z J Deng, M Feng and K L Gao, Phys. Rev. A 74, 064303 (2006)

    Article  ADS  Google Scholar 

  20. X L Zhang, K L Gao and M Feng, Phys. Rev. A 74, 024303 (2006)

    Article  ADS  Google Scholar 

  21. G Y Xiang, Y S Zhang, J Li and G C Guo, J. Opt. B: Quantum Semiclass. Opt. 5, 208 (2003)

    Article  ADS  Google Scholar 

  22. A Miyake, Phys. Rev. A 69, 012101 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  23. J Joo, Y J Park, S Oh and J Kim, New J. Phys. 5, 136 (2003)

    Article  ADS  Google Scholar 

  24. T Tashima, T Kitano, S K Ozdemir, T Yamamoto, M Koashi and N Imoto, Phys. Rev. Lett. 105, 210503 (2010)

    Article  ADS  Google Scholar 

  25. R Ikuta, T Tashima, T Yamamoto, M Koashi and N Imoto, Phys. Rev. A 83, 012314 (2011)

    Article  ADS  Google Scholar 

  26. T Tashima, T Wakatsuki, S Kaya Özdemir, T Yamamoto, M Koashi and N Imoto, Phys. Rev Lett. 102, 130502 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  27. P Walther, K J Resch and A Zeilinger, Phys. Rev. Lett. 94, 240501 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  28. Y M Liu, Sci. China 56, 2122 (2013)

    Google Scholar 

  29. J A Mlynek, A A Abdumalikov Jr, J M Fink, L Steffen, M Baur, C Lang, A F van Loo and A Wallraff, Phys. Rev. A 86, 053838 (2012)

    Article  ADS  Google Scholar 

  30. S Bugu, C Yesilyurt and F Ozaydin, Phys. Rev. A 87, 032331 (2013)

    Article  ADS  Google Scholar 

  31. F Ozaydin, S Bugu, C Yesilyurt, A A Altintas, M Tame, Özdemir and Şahin Kaya, Phys. Rev. A 89, 042311 (2014)

    Article  ADS  Google Scholar 

  32. S Osnaghi, P Bertet, A Auffeves, P Maioli, M Brune, J M Raimond and S Haroche, Phys. Rev. Lett. 87, 037902 (2001)

    Article  ADS  Google Scholar 

  33. Z L Cao and M Yang, J. Phys. B 36, 4245 (2003)

    Article  ADS  Google Scholar 

  34. S B Zheng, Phys. Rev. A 69, 064302 (2004)

    Article  ADS  Google Scholar 

  35. M Yang, W Song and Z L Cao, Phys. Rev. A 71, 034312 (2005)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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Acknowledgements

This work is supported by National Natural Science Foundation of China (NSFC) under Grants Nos 11274010, 11204002, 11374085, 61370090 and 11204061, the Specialized Research Fund for the Doctoral Programme of Higher Education (20113401110002, 20123401120003), the Key Project of Chinese Ministry of Education (No. 210092), Anhui Provincial Natural Science Foundation under Grant Nos 1208085QA14, 1308085QA18, and 1408085MA16, the Key Programme of the Education Department of Anhui Province under Grants Nos KJ2013A195, KJ2012A244, KJ2012A206, the ‘211’ Project of Anhui University, the Talent Foundation of Anhui University under Grant No. 33190019, and the personnel department of Anhui province.

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Correspondence to MING YANG.

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ZANG, XP., YANG, M., DU, CQ. et al. Transformation of bipartite non-maximally entangled states into a tripartite W state in cavity QED. Pramana - J Phys 86, 1009–1019 (2016). https://doi.org/10.1007/s12043-015-1129-y

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  • DOI: https://doi.org/10.1007/s12043-015-1129-y

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