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International Journal of Theoretical Physics

, Volume 49, Issue 4, pp 766–776 | Cite as

Dynamical Creation of Entanglement and Steady Entanglement Between Two Spatially Separated Λ-Type Atoms

  • Guo Hui Yang
  • Xiang Yang Miao
  • Jun Feng Zhang
Article
  • 73 Downloads

Abstract

We report possibility of generating entanglement and steady entanglement between two identical atoms in free space with a very natural way when their spatial separation is on the order of wavelength or less. We show a dynamical creation of entanglement and steady entanglement due to the radiative coupling with different separable initial atomic states and study the entanglement properties about this atomic subsystem. Not only the creation of steady state entanglement is decided by the initial atomic states, but also the magnitude of the entanglement and the steady state entanglement are found to be strongly dependent on the initial states. We derive a master equation for the atomic subspace and solve it analytically to show how the spontaneous emission from the two atoms system induces entanglement and steady entanglement, the crossing coupling terms in master equation can enhance the entanglement value.

Keywords

Entanglement Spontaneous emission Atoms 

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References

  1. 1.
    Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993) MATHCrossRefMathSciNetADSGoogle Scholar
  2. 2.
    Nielson, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000) Google Scholar
  3. 3.
    Häfner, H., Hänsel, W., Roos, C.F., Benhelm, J., Chek-al-kar, D., Chwalla, M., Körber, T., Rapol, U.D., Riebe, M., Schmidt, P.O., Becher, C., Gühne, O., Dür, W., Blatt, R.: Nature 438, 643 (2005) CrossRefADSGoogle Scholar
  4. 4.
    Haroche, S., Raimond, J.-M.: Exploring the Quantum. Oxford University Press, New York (2006) MATHCrossRefGoogle Scholar
  5. 5.
    Plenio, M.B., Huelga, S.F.: Phys. Rev. Lett. 88, 197901 (2002) CrossRefADSGoogle Scholar
  6. 6.
    Karja, M., Bornik, N.M., Lffler, M., Walther, H.: Phys. Rev. A 60, 3229 (1999) CrossRefADSGoogle Scholar
  7. 7.
    Cirac, J.I., Zoller, P.: Phys. Rev. A 50, R2799 (1994) CrossRefADSGoogle Scholar
  8. 8.
    Hagley, E., Maître, X., Nogues, G., Wunderlich, C., Brune, M., Raimond, J.M., Haroche, S.: Phys. Rev. Lett. 79, 1 (1997) CrossRefADSGoogle Scholar
  9. 9.
    Plenio, M.B., Huelga, S.F., Beige, A., Knight, P.L.: Phys. Rev. A 59, 2468 (1999) CrossRefADSGoogle Scholar
  10. 10.
    Beige, A., Bose, S., Braun, D., Huelga, S.F., Knight, P.L., Plenio, M.B., Vedral, V.: J. Mod. Opt. 47, 2583 (2000) ADSGoogle Scholar
  11. 11.
    Brennen, G.K., Deutsch, I.H., Jessen, P.S.: Phys. Rev. A 61, 062309 (2000) CrossRefMathSciNetADSGoogle Scholar
  12. 12.
    Mandel, O., Greiner, M., Widera, A., Rom, T., Hsch, T.W., Bloch, I.: Nature 425, 937 (2003) CrossRefADSGoogle Scholar
  13. 13.
    Cabrillo, C., Cirac, J.I., Garc-Fernndez, P., Zoller, P.: Phys. Rev. A 59, 1025 (1999) CrossRefADSGoogle Scholar
  14. 14.
    Çakir, Ö., Klyachko, A.A., Shumovsky, A.S.: Phys. Rev. A 71, 034303 (2005) CrossRefADSGoogle Scholar
  15. 15.
    Song, J., Xia, Y., Song, H.S., Liu, B.: Eur. Phys. J. D 50, 91 (2008) CrossRefADSGoogle Scholar
  16. 16.
    Ye, S.Y., Zhong, Z.R., Zheng, S.B.: Phys. Rev. A 77, 014303 (2008) CrossRefADSGoogle Scholar
  17. 17.
    Yin, Z.Q., Li, F.L.: Phys. Rev. A 75, 012324 (2007) CrossRefADSGoogle Scholar
  18. 18.
    Kim, M.S., Lee, J., Ahn, D., Knight, P.L.: Phys. Rev. A 65, 040101 (2002) CrossRefADSGoogle Scholar
  19. 19.
    Derkacz, Ł., Jakóbczyk, L.: J. Phys. A 41, 205304 (2008) CrossRefMathSciNetADSGoogle Scholar
  20. 20.
    Bruss, D., Macchiavello, C.: Phys. Rev. Lett. 88, 127901 (2002) CrossRefADSGoogle Scholar
  21. 21.
    Kaszlikowski, D., Gnaciński, P., Żukowski, M., Miklaszewski, W., Zeilinger, A.: Phys. Rev. Lett. 85, 4418 (2000) CrossRefADSGoogle Scholar
  22. 22.
    Bargatin, I.V., Grishanin, B.A., Zadkov, V.N.: Phys. Rev. A 61, 052305 (2000) CrossRefADSGoogle Scholar
  23. 23.
    Kiffner, M., Evers, J., Keitel, C.H.: Phys. Rev. A 75, 032313 (2007) CrossRefADSGoogle Scholar
  24. 24.
    Agarwal, G.S., Patnaik, A.K.: Phys. Rev. A 63, 043805 (2001) CrossRefADSGoogle Scholar
  25. 25.
    Evers, J., Kiffner, M., Macovei, M., Keitel, C.H.: Phys. Rev. A 73, 023804 (2006) CrossRefADSGoogle Scholar
  26. 26.
    Macovei, M., Ficek, Z., Keitel, C.H.: Phys. Rev. A 73, 063821 (2006) CrossRefADSGoogle Scholar
  27. 27.
    Kiffner, M., Evers, J., Keitel, C.H.: Phys. Rev. A 76, 013807 (2007) CrossRefADSGoogle Scholar
  28. 28.
    Fick, Z., Swain, S.: Quantum Interference and Coherence. Springer, New York (2005) Google Scholar
  29. 29.
    Mandel, L., Wolf, E.: Optical Coherence and Quantum Optics. Cambridge University Press, Cambridge (1995) Google Scholar
  30. 30.
    Agarwal, G.S.: Quantum Statistical Theories of Spontaneous Emission and Their Relation to Other Approaches. Spring Tracts in Modern Physics: Quantum Optics. Springer, Berlin (1974) Google Scholar
  31. 31.
    Zhou, L., Yang, G.H., Patnaik, A.K.: Phys. Rev. A 79, 062102 (2009) CrossRefADSGoogle Scholar
  32. 32.
    Vidal, G., Werner, R.F.: Phys. Rev. A 65, 032314 (2002) CrossRefADSGoogle Scholar
  33. 33.
    Peres, A.: Phys. Rev. Lett. 77, 1413 (1996) MATHCrossRefMathSciNetADSGoogle Scholar
  34. 34.
    Horodecki, M., Horodecki, P., Horodecki, R.: Phys. Lett. A 223, 1 (1996) MATHCrossRefMathSciNetADSGoogle Scholar
  35. 35.
    Derkacz, L., Jakóbczyk, L.: 0806.2537 [quant-ph]
  36. 36.
    Zyczkowski, K., Horodecki, P., Sanpera, A., Lewenstein, M.: Phys. Rev. A 58, 883 (1998) CrossRefMathSciNetADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Guo Hui Yang
    • 1
  • Xiang Yang Miao
    • 1
  • Jun Feng Zhang
    • 1
  1. 1.School of Physics and Information EngineeringShanxi Normal UniversityLinfenPR China

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