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Exact results on decoherence and entanglement in a system of N driven atoms and a dissipative cavity mode

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An Erratum to this article was published on 09 January 2009

Abstract

We solve the dynamics of an open quantum system where N strongly driven two-level atoms are equally coupled on resonance to a dissipative cavity mode. Analytical results are derived on decoherence, entanglement, purity, atomic correlations and cavity field mean photon number. We predict decoherencefree subspaces for the whole system and the N-qubit subsystem, the monitoring of quantum coherence and purity decay by atomic populations measurements, the conditional generation of atomic multi-partite entangled states and of cavity cat-like states. We show that the dynamics of atoms prepared in states invariant under permutation of any two components remains restricted within the subspace spanned by the completely symmetric Dicke states. We discuss examples and applications in the cases N = 3, 4.

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References

  1. S. Haroche, J. Raimond, Exploring the Quantum (Oxford University Press, 2006)

  2. H. Mabuchi, A.C. Doherty, Science 298, 1372 (2002)

    Article  ADS  Google Scholar 

  3. C. Monroe, Nature 416, 238 (2002)

    Article  ADS  Google Scholar 

  4. E. Jaynes, F. Cummings, Proc. IEEE 51, 89 (1963)

    Article  Google Scholar 

  5. D. Meschede, H. Walther, G. Müller, Phys. Rev. Lett. 54, 551 (1985)

    Article  ADS  Google Scholar 

  6. M. Brune, F. Schmidt-Kaler, A. Maali, J. Dreyer, E. Hagley, J.M. Raymond, S. Haroche, Phys. Rev. Lett. 76, 1800 (1996)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

  9. E. Joos, H.D. Zeh, C. Kiefer, D. Giulini, J. Kupsch, I.O. Stamatescu, Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, Berlin, 1996)

    MATH  Google Scholar 

  10. W.H. Zurek, Rev. Mod. Phys. 75, 715 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  11. S. Nussman, G.S. Agarwal, K. Murr, M. Hijlkema, B. Weber, A. Kuhn, G. Rempe, Nat. Phys. 1, 122 (2005)

    Article  Google Scholar 

  12. A.D. Boozer, A. Boca, R. Miller, T.E. Northup, H.J. Kimble, Phys. Rev. Lett. 97, 083602 (2006)

    Article  ADS  Google Scholar 

  13. K.M. Fortier, S.Y. Kim, M.J. Gibbons, P. Ahmadi, M.S. Chapman, Phys. Rev. Lett. 98, 233601 (2007)

    Article  ADS  Google Scholar 

  14. A.B. Mundt, A. Kreuter, C. Becher, D. Leibfried, J. Eschner, F. Schmidt-Kaler, R. Blatt, Phys. Rev. Lett. 89, 103001 (2002)

    Article  ADS  Google Scholar 

  15. M. Keller, B. Lange, K. Hayasaka, W. Lange, H. Walther, Nature 431, 1075 (2004)

    Article  ADS  Google Scholar 

  16. K.E. Cahill, R.J. Glauber, Phys. Rev. 177, 1882 (1969)

    Article  ADS  Google Scholar 

  17. P. Lougovski, F. Casagrande, A. Lulli, E. Solano, Phys. Rev. A 76, 033802 (2007)

    Article  ADS  Google Scholar 

  18. M. Bina, F. Casagrande, A. Lulli, E. Solano, Phys. Rev. A 77, 033839 (2008)

    Article  ADS  Google Scholar 

  19. L.M. Duan, G.C. Guo, Phys. Rev. Lett. 79, 1953 (1997)

    Article  ADS  Google Scholar 

  20. P. Zanardi, M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997)

    Article  ADS  Google Scholar 

  21. D.L. Moehring, M.J. Madsen, K.C. Younge, R.N. Kohn, L.M. Duan, C. Monroe, J. Opt. Soc. Am. B 14, 300 (2007)

    Article  ADS  Google Scholar 

  22. P. Zoller et al., Eur. Phys. J. D 36, 203 (2005)

    Article  ADS  Google Scholar 

  23. L. Mandel, E. Wolf, Optical coherence and quantum optics (Cambridge University Press, Cambridge, 1995)

    Google Scholar 

  24. C. Thiel, J. von Zanthier, T. Bastin, E. Solano, G.S. Agarwal, Phys. Rev. Lett. 99, 193602 (2007)

    Article  ADS  Google Scholar 

  25. E. Solano, G. Agarwal, H. Walther, Phys. Rev. Lett. 90, 027903 (2003)

    Article  ADS  Google Scholar 

  26. P. Lougovski, E. Solano, H. Walter, Phys. Rev. A 71, 013811 (2005)

    Article  ADS  Google Scholar 

  27. S.M. Barnett, P.M. Radmore, Methods in Theoretical Quantum Optics (Clarendon Press, Oxford, 1997)

    Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  31. G. Jaeger, Quantum Information (Springer, 2007)

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Correspondence to F. Casagrande.

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An erratum to this article can be found at http://dx.doi.org/10.1140/epjd/e2008-00284-x

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Bina, M., Casagrande, F. & Lulli, A. Exact results on decoherence and entanglement in a system of N driven atoms and a dissipative cavity mode. Eur. Phys. J. D 49, 257–264 (2008). https://doi.org/10.1140/epjd/e2008-00160-9

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  • DOI: https://doi.org/10.1140/epjd/e2008-00160-9

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