Advertisement

Universal evolution of non-classical correlations due to collective spontaneous emission

  • A. SlaouiEmail author
  • M. I. Shaukat
  • M. Daoud
  • R. Ahl Laamara
Regular Article

Abstract.

We explore the spontaneous generation and decay of quantum correlations between two identical atoms coupled to a common Markovian environment in the presence of electromagnetic field modes. For this purpose, we analyze the dynamics of quantum correlations by employing the concurrence, the trace quantum discord and the local quantum uncertainty, for collective Dicke states. It is shown that the collective damping and dipole-dipole interaction plays a key role in enhancing non-classical correlations during the process of intrinsic decoherence. The quantum correlations can be maintained over a long time but for small distance between the two atoms.

References

  1. 1.
    A. Einstein, B. Podolsky, N. Rosen, Phys. Rev. 47, 777 (1935)ADSCrossRefGoogle Scholar
  2. 2.
    J.S. Bell, Physics 1, 195 (1964)CrossRefGoogle Scholar
  3. 3.
    S. Hill, W.K. Wootters, Phys. Rev. Lett. 78, 5022 (1997)ADSCrossRefGoogle Scholar
  4. 4.
    A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    C.H. Bennett, S.J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992)ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    C.H. Bennett, G. Brassard, C. Cepeau, R. Jozsa, A. Peres, W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993)ADSMathSciNetCrossRefGoogle Scholar
  7. 7.
    H. Olliver, W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRefGoogle Scholar
  8. 8.
    K. Modi, A. Brodutch, H. Cable, T. Paterek, V. Vedral, Rev. Mod. Phys. 84, 1655 (2012)ADSCrossRefGoogle Scholar
  9. 9.
    S. Luo, Phys. Rev. A 77, 042303 (2008)ADSCrossRefGoogle Scholar
  10. 10.
    M. Ali, A.R.P. Rau, G. Alber, Phys. Rev. A 81, 042105 (2010)ADSCrossRefGoogle Scholar
  11. 11.
    R. Tana, Phys. Scr. T 153, 014059 (2013)ADSGoogle Scholar
  12. 12.
    L.C. Cleri, J. Maziero, R.M. Serra, Int. J. Quantum Inf. 09, 1837 (2011)CrossRefGoogle Scholar
  13. 13.
    T.K. Chuan, J. Maillard, K. Modi, T. Paterek, M. Paternostro, M. Piani, Phys. Rev. Lett. 109, 070501 (2012)ADSCrossRefGoogle Scholar
  14. 14.
    A. Streltsov, H. Kampermann, D. Bru, Phys. Rev. Lett. 108, 250501 (2012)ADSCrossRefGoogle Scholar
  15. 15.
    V. Madhok, A. Datta, Phys. Rev. A 83, 032323 (2011)ADSCrossRefGoogle Scholar
  16. 16.
    D. Cavalcanti, L. Aolita, S. Boixo, K. Modi, M. Piani, A. Winter, Phys. Rev. A 83, 0323248 (2011)CrossRefGoogle Scholar
  17. 17.
    R.H. Dicke, Phys. Rev. 93, 99 (1954)ADSCrossRefGoogle Scholar
  18. 18.
    M. Tavis, F.W. Cummings, Phys. Rev. 170, 379 (1968)ADSCrossRefGoogle Scholar
  19. 19.
    Mikhail Lukin, Michael Fleischhauer, Atac Imamolu, Quantum Information Processing Based on Cavity QED with Mesoscopic Systems (Springer, Berlin, Heidelberg, 2001) p. 193Google Scholar
  20. 20.
    A.M. Steane, Appl. Phys. B 64, 623 (1997)ADSCrossRefGoogle Scholar
  21. 21.
    Peter Michler, Quantum Dots for Quantum Information Technologies (Springer, International Publishing, 2017)Google Scholar
  22. 22.
    D. Braun, Phys. Rev. Lett. 89, 277901 (2002)CrossRefGoogle Scholar
  23. 23.
    T. Yu, J.H. Eberly, Phys. Rev. Lett. 93, 140404 (2004)ADSCrossRefGoogle Scholar
  24. 24.
    Z. Ficek, R. Tanas, Phys. Rev. A 74, 024304 (2006)ADSCrossRefGoogle Scholar
  25. 25.
    M.I. Shaukat, A. Shaheen, A.H. Toor, J. Mod. Opt. 60, 21 (2013)CrossRefGoogle Scholar
  26. 26.
    Z. Ficek, R. Tanas, Phys. Rev. A 77, 054301 (2008)ADSCrossRefGoogle Scholar
  27. 27.
    F. Verstraete, M.M. Wolf, I. Cirac, Nat. Phys. 5, 633 (2009)CrossRefGoogle Scholar
  28. 28.
    M.I. Shaukat, E.V. Castro, H. Terças, arXiv:1801.08894 (2018)Google Scholar
  29. 29.
    Y. He, M. Jiang, Opt. Commun. 382, 580 (2017)ADSCrossRefGoogle Scholar
  30. 30.
    M.I. Shaukat, E.V. Castro, H. Terças, arXiv:1801.08169 (2018)Google Scholar
  31. 31.
    M.I. Shaukat, E.V. Castro, H. Terças, Phys. Rev. A 95, 053618 (2017)ADSCrossRefGoogle Scholar
  32. 32.
    K. Almutairi, R. Tana, Z. Ficek, Phys. Rev. A 84, 013831 (2011)ADSCrossRefGoogle Scholar
  33. 33.
    A. Streltsov, W.H. Zurek, Phys. Rev. Lett. 111, 040401 (2013)ADSCrossRefGoogle Scholar
  34. 34.
    B. Wang, Z.Y. Xu, Z.Q. Chen, M. Feng, Phys. Rev. A 81, 014101 (2010)ADSCrossRefGoogle Scholar
  35. 35.
    J. Maziero, L.C. Cleri, R.M. Serra, V. Vedral, Phys. Rev. A 80, 044102 (2009)ADSMathSciNetCrossRefGoogle Scholar
  36. 36.
    B. Bellomo, G.L. Giorgi, F. Galve, R. Lo Franco, G. Compagno, R. Zambrini, Phys. Rev. A 85, 032104 (2012)ADSCrossRefGoogle Scholar
  37. 37.
    J.P.G. Pinto, G. Karpat, F.F. Fanchini, Phys. Rev. A 88, 034304 (2013)ADSCrossRefGoogle Scholar
  38. 38.
    B. Aaronson, R. Lo Franco, G. Adesso, Phys. Rev. A 88, 012120 (2013)ADSCrossRefGoogle Scholar
  39. 39.
    M.-L. Hu, D.-P. Tian, Ann. Phys. (N.Y.) 343, 132 (2014)ADSCrossRefGoogle Scholar
  40. 40.
    E. Knill, R. Laflamme, Phys. Rev. Lett. 81, 5672 (1998)ADSCrossRefGoogle Scholar
  41. 41.
    X.M. Lu, J. Ma, Z. Xi, X. Wang, Phys. Rev. A 83, 012327 (2011)ADSCrossRefGoogle Scholar
  42. 42.
    Q. Chen, C. Zhang, S. Yu, X.X. Yi, C.H. Oh, Phys. Rev. A 84, 042313 (2011)ADSCrossRefGoogle Scholar
  43. 43.
    C.H. Bennett, H.J. Bernstein, S. Popescu, B. Schumacher, Phys. Rev. A 53, 2046 (1996)ADSCrossRefGoogle Scholar
  44. 44.
    S. Popescu, D. Rohrlich, Phys. Rev. A 56, R3319 (1997)ADSCrossRefGoogle Scholar
  45. 45.
    W.K. Wootters, Quantum Inf. Comput. 1, 27 (2001)MathSciNetGoogle Scholar
  46. 46.
    T. Yu, J.H. Eberly, Science 323, 598 (2009)ADSMathSciNetCrossRefGoogle Scholar
  47. 47.
    S. Bose, V. Vedral, Phys. Rev. A 61, 040101 (2000)ADSCrossRefGoogle Scholar
  48. 48.
    C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. Smolin, W.K. Wootters, Phys. Rev. Lett. 76, 722 (1996)ADSCrossRefGoogle Scholar
  49. 49.
    A. Peres, Phys. Rev. Lett. 77, 1413 (1996)ADSMathSciNetCrossRefGoogle Scholar
  50. 50.
    G. Vidal, R.F. Werner, Phys. Rev. A 65, 032314 (2002)ADSCrossRefGoogle Scholar
  51. 51.
    W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)ADSCrossRefGoogle Scholar
  52. 52.
    H. Ollivier, W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRefGoogle Scholar
  53. 53.
    L. Henderson, V. Vedral, J. Phys. A 34, 6899 (2001)ADSMathSciNetCrossRefGoogle Scholar
  54. 54.
    B. Dakić, V. Vedral, Č. Brukner, Phys. Rev. Lett. 105, 190502 (2010)ADSCrossRefGoogle Scholar
  55. 55.
    B. Bellomo, R. Lo Franco, G. Compagno, Phys. Rev. A 86, 012312 (2012)ADSCrossRefGoogle Scholar
  56. 56.
    B. Bellomo, G.L. Giorgi, F. Galve, R. Lo Franco, G. Compagno, R. Zambrini, Phys. Rev. A 85, 032104 (2012)ADSCrossRefGoogle Scholar
  57. 57.
    M. Daoud, R. Ahl Laamara, Phys. Lett. A 376, 2361 (2012)ADSMathSciNetCrossRefGoogle Scholar
  58. 58.
    M. Daoud, R. Ahl Laamara, Int. J. Quantum Inf. 10, 1250060 (2012)MathSciNetCrossRefGoogle Scholar
  59. 59.
    M. Piani, Phys. Rev. A 86, 034101 (2012)ADSCrossRefGoogle Scholar
  60. 60.
    F.M. Paula, T.R. de Oliveira, M.S. Sarandy, Phys. Rev. A 87, 064101 (2013)ADSCrossRefGoogle Scholar
  61. 61.
    F.M. Paula, J.D. Montealegre, A. Saguia, T.R. de Oliveira, M.S. Sarandy, EPL 103, 50008 (2013)ADSCrossRefGoogle Scholar
  62. 62.
    T.R. Bromley, M. Cianciaruso, R. Lo Franco, G. Adesso, J. Phys. A 47, 405302 (2014)MathSciNetCrossRefGoogle Scholar
  63. 63.
    F. Ciccarello, T. Tufarelli, V. Giovannetti, New J. Phys. 16, 013038 (2014)ADSCrossRefGoogle Scholar
  64. 64.
    D. Girolami, T. Tufarelli, G. Adesso, Phys. Rev. Lett. 110, 240402 (2013)ADSCrossRefGoogle Scholar
  65. 65.
    E.P. Wigner, M.M. Yanasse, Proc. Natl. Acad. Sci. U.S.A. 49, 910 (1963)ADSCrossRefGoogle Scholar
  66. 66.
    S. Luo, Phys. Rev. Lett. 91, 180403 (2003)ADSCrossRefGoogle Scholar
  67. 67.
    G. Agarwal, Quantum Statistical Theories of Spontaneous Emission and their Relation to Other Approaches, in Springer Tracts in Modern Physics, Vol. 70 (Springer-Verlag, Berlin, 1974)Google Scholar
  68. 68.
    A. Slaoui, M. Daoud, R.A. Laamara, Quantum Inf. Process. 17, 178 (2018)ADSCrossRefGoogle Scholar
  69. 69.
    Z. Ficek, R. Tanaś, S. Kielich, Physica A 146, 452 (1987)ADSCrossRefGoogle Scholar
  70. 70.
    A. Auyuanet, L. Davidovich, Phys. Rev. A 82, 032112 (2010)ADSMathSciNetCrossRefGoogle Scholar
  71. 71.
    R.H. Lehmberg, Phys. Rev. A 2, 883 (1970)ADSCrossRefGoogle Scholar
  72. 72.
    R.H. Lehmberg, Phys. Rev. A 2, 889 (1970)ADSCrossRefGoogle Scholar
  73. 73.
    A.A. Belavkin, B.Y. Zeldovich, A.M. Perelomov, V.S. Popov, Sov. Phys. JETP 56, 264 (1969)Google Scholar
  74. 74.
    G.S. Agarwal, Phys. Rev. A 2, 2038 (1970)ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.LPHE-Modeling and Simulation, Faculty of SciencesUniversity Mohammed VRabatMorocco
  2. 2.CeFEMA, Instituto Superior TécnicoUniversidade de LisboaLisboaPortugal
  3. 3.University of Engineering and TechnologyLahorePakistan
  4. 4.Department of Physics, Faculty of Sciences-Ain ChockUniversity Hassan IICasablancaMorocco
  5. 5.Abdus Salam International Centre for Theoretical Physics, MiramareTriesteItaly
  6. 6.Centre of Physics and Mathematics, CPM, CNESTENRabatMorocco

Personalised recommendations