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Entangled entanglement in Raman lasers

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Abstract

We show that entangled entanglement can be obtained from a multimode Raman laser. In this system, all lasing modes constitute a quantum-beat. Equivalently, one collective mode is operated well above threshold and exhibits the sub-Poissonian statistics, while other orthonormal collective modes are excluded from the interacting system and stay in vacuum states. This determines entanglement between any two sub-collections, in each of which exists entanglement between any two sub-sub-collections, and so on, if present. This scheme is accessible based on the recent experimental progress in Raman lasers.

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References

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

  2. C.H. Bennett, D.P. Divincenzo, Nature 404, 247 (2000)

    Article  ADS  Google Scholar 

  3. T. Aoki, A. Furusawa, Nature 431, 430 (2004)

    Article  ADS  Google Scholar 

  4. S.L. Braunstein, P. van Loock, Rev. Mod. Phys. 77, 513 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. B. Yurke, J.S. Denker, Phys. Rev. A 29, 1419 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  6. V. Bužek, S.L. Braunstein, M. Hillery, D. Bruß, Phys. Rev. A 56, 3446 (1997)

    Article  ADS  Google Scholar 

  7. T. Pellizzari, Phys. Rev. Lett. 79, 5242 (1997)

    Article  ADS  Google Scholar 

  8. J.I. Cirac, P. Zoller, H.J. Kimble, H. Mabuchi, Phys. Rev. Lett. 78, 3221 (1997)

    Article  ADS  Google Scholar 

  9. P. van Loock, S.L. Braunstein, Phys. Rev. Lett. 84, 3482 (2000)

    Article  ADS  Google Scholar 

  10. A. Ekert, R. Jozsa, Rev. Mod. Phys. 68, 733 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  11. P. Kok, W.J. Munro, K. Nemoto, T.C. Ralph, J.P. Dowling, G.J. Milburn, Rev. Mod. Phys. 79, 135 (2007)

    Article  ADS  Google Scholar 

  12. D. Loss, D.P. DiVincenzo, Phys. Rev. A 57, 120 (1998)

    Article  ADS  Google Scholar 

  13. G. Krenn, A. Zeilinger, Phys. Rev. A 54, 1793 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  14. P. Walther, K.J. Resch, Č. Brukner, A. Zeilinger, Phys. Rev. Lett. 97, 020501 (2006)

    Article  ADS  Google Scholar 

  15. J. Mckeever, A. Boca, A.D. Boozer, J.R. Buck, H.J. Kimble, Nature 425, 268 (2003)

    Article  ADS  Google Scholar 

  16. M.O. Scully, Phys. Rev. Lett. 55, 2802 (1985)

    Article  ADS  Google Scholar 

  17. M.O. Scully, M.S. Zubairy, Phys. Rev. A 35, 752 (1987)

    Article  ADS  Google Scholar 

  18. J.A. Bergou, M. Orszag, M.O. Scully, Phys. Rev. A 38, 754 (1988)

    Article  ADS  Google Scholar 

  19. M.P. Winters, J.L. Hall, P.E. Toschek, Phys. Rev. Lett. 65, 3116 (1990)

    Article  ADS  Google Scholar 

  20. I. Steiner, P.E. Toschek, Phys. Rev. Lett. 74, 4639 (1995)

    Article  ADS  Google Scholar 

  21. M.O. Scully, K. Wodkiewicz, M.S. Zubairy, J. Bergou, N. Lu, J. Meyer-ter-Vehn, Phys. Rev. Lett. 60, 1832 (1988)

    Article  ADS  Google Scholar 

  22. N. Lu, F.X. Zhao, J. Bergou, Phys. Rev. A 39, 5189 (1989)

    Article  ADS  Google Scholar 

  23. N. Lu, S.Y. Zhu, Phys. Rev. A 41, 2865 (1990)

    Article  ADS  Google Scholar 

  24. H. Xiong, M.O. Scully, M.S. Zubairy, Phys. Rev. Lett. 94, 023601 (2005)

    Article  ADS  Google Scholar 

  25. H.T. Tan, S.Y. Zhu, M.S. Zubairy, Phys. Rev. A 72, 022305 (2005)

    Article  ADS  Google Scholar 

  26. S. Qamar, H. Xiong, M.S. Zubairy, Phys. Rev. A 75, 062305 (2007)

    Article  ADS  Google Scholar 

  27. M. Ikram, G.X. Li, M.S. Zubairy, Phys. Rev. A 76, 042317 (2007)

    Article  ADS  Google Scholar 

  28. S. Qamar, F. Ghafoor, M. Hillery, M.S. Zubairy, Phys. Rev. A 77, 062308 (2008)

    Article  ADS  Google Scholar 

  29. S. Tesfa, J. Phys. B At. Mol. Opt. Phys. 40, 2373 (2007)

    Article  ADS  Google Scholar 

  30. S. Tesfa, J. Phys. B At. Mol. Opt. Phys. 41, 055503 (2008)

    Article  ADS  Google Scholar 

  31. S. Tesfa, J. Phys. B At. Mol. Opt. Phys. 41, 145501 (2008)

    Article  ADS  Google Scholar 

  32. W.X. Shi, X.M. Hu, F. Wang, J. Phys. B At. Mol. Opt. Phys. 42, 165506 (2009)

    Article  ADS  Google Scholar 

  33. X.Y. Zhao, Y.H. Ma, L. Zhou, Opt. Commun. 282, 1593 (2009)

    Article  ADS  Google Scholar 

  34. X.M. Hu, J.H. Zou, Phys. Rev. A 78, 045801 (2008)

    Article  ADS  Google Scholar 

  35. X.X. Li, X.M. Hu, Phys. Rev. A 80, 023815 (2009)

    Article  ADS  Google Scholar 

  36. M.O. Scully, M.S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997)

  37. X.M. Hu, J.S. Peng, Opt. Commun. 154, 152 (1998)

    Article  ADS  Google Scholar 

  38. P.D. Drummond, C.W. Gardiner, J. Phys. A 13, 2353 (1980)

    Article  MathSciNet  ADS  Google Scholar 

  39. P.D. Drummond, D.F. Walls, Phys. Rev. A 23, 2563 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  40. M. Sargent III, M.O. Scully, W.E. Lamb, Jr., Laser Physics (Addison-Wesley, Reading, MA, 1974)

  41. J.S. Peng, G.X. Li, Introduction to Modern Quantum Optics (World Scientific, Singapore, 1998)

  42. W.H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973)

  43. H. Ritsch, Quantum Opt. 2, 189 (1990)

    Article  ADS  Google Scholar 

  44. D.F. Walls, M.J. Collett, A.S. Lane, Phys. Rev. A 42, 4366 (1990)

    Article  ADS  Google Scholar 

  45. H.M. Wiseman, G.J. Milburn, Phys. Rev. A 44, 7815 (1991)

    Article  ADS  Google Scholar 

  46. U. Herzog, Opt. Commun. 85, 275 (1991).

    Article  ADS  Google Scholar 

  47. A.M. Khazanov, G.A. Koganov, E.P. Gordov, Phys. Rev. A 42, 3065 (1990)

    Article  ADS  Google Scholar 

  48. H. Ritsch, P. Zoller, C.W. Gardiner, D.F. Walls, Phys. Rev. A 44, 3361 (1991)

    Article  ADS  Google Scholar 

  49. H. Ritsch, M.A.M. Marte, P. Zoller, Europhys. Lett. 19, 7 (1992)

    Article  ADS  Google Scholar 

  50. K.M. Gheri, D.F. Walls, Phys. Rev. Lett. 68, 3428 (1992)

    Article  ADS  Google Scholar 

  51. L.M. Duan, G. Giedke, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 84, 2722 (2000)

    Article  ADS  Google Scholar 

  52. M.K. Olsen, A.S. Bradley, Phys. Rev. A 74, 063809 (2006)

    Article  ADS  Google Scholar 

  53. P. van Loock, A. Furusawa, Phys. Rev. A 67, 052315 (2003)

    Article  ADS  Google Scholar 

  54. M. Jain, H. Xia, G.Y. Yin, A.J. Merriam, S.E. Harris, Phys. Rev. Lett. 77, 4326 (1996)

    Article  ADS  Google Scholar 

  55. D.A. Braje, V. Balic, S. Goda, G.Y. Yin, S.E. Harris, Phys. Rev. Lett. 93, 183601 (2004)

    Article  ADS  Google Scholar 

  56. P. Kolchin, S. Du, C. Belthangady, G.Y. Yin, S.E. Harris, Phys. Rev. Lett. 97, 113602 (2006)

    Article  ADS  Google Scholar 

  57. S. Du, P. Kolchin, C. Belthangady, G.Y. Yin, S.E. Harris, Phys. Rev. Lett. 100, 183603 (2008)

    Article  ADS  Google Scholar 

  58. M.C. Stowe, A. Pe’er, J. Ye, Phys. Rev. Lett. 100, 203001 (2008)

    Article  ADS  Google Scholar 

  59. B.Q. Ou, L.M. Liang, C.Z. Li, Opt. Commun. 282, 2870 (2009)

    Article  ADS  Google Scholar 

  60. L.V. Hau, S.E. Harris, Z. Dutton, C.H. Behroozi, Nature 397, 594 (1999)

    Article  ADS  Google Scholar 

  61. C. Liu, Z. Dutton, C.H. Behroozi, L.V. Hau, Nature 409, 490 (2001)

    Article  ADS  Google Scholar 

  62. H. Kang, Y. Zhu, Phys. Rev. Lett. 91, 093601 (2003)

    Article  ADS  Google Scholar 

  63. Y. Chen, C. Wang, S. Wang, I.A. Yu, Phys. Rev. Lett. 96, 043603 (2006)

    Article  ADS  Google Scholar 

  64. J. Kitching, L. Hollberg, Phys. Rev. A 59, 4685 (1999)

    Article  ADS  Google Scholar 

  65. O.S. Mishina, A.S. Sheremet, N.V. Larionov, D.V. Kupriyanov, Opt. Spectrosc. 108, 313 (2010)

    Article  ADS  Google Scholar 

  66. E.A. Korsunsky, N. Leinfellner, A. Huss, S. Baluschev, L. Windholz, Phys. Rev. A 59, 2302 (1999)

    Article  ADS  Google Scholar 

  67. B.J. Dalton, P.L. Knight, Opt. Commun. 42, 411 (1982)

    Article  ADS  Google Scholar 

  68. M. Fleischhauer, M.D. Lukin, D.E. Nikonov, M.O. Scully, Opt. Commun. 110, 351 (1994)

    Article  ADS  Google Scholar 

Download references

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Li, X.X., Hu, X.M. Entangled entanglement in Raman lasers. Eur. Phys. J. D 62, 245–253 (2011). https://doi.org/10.1140/epjd/e2010-09661-x

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  • DOI: https://doi.org/10.1140/epjd/e2010-09661-x

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