Skip to main content
SpringerLink
Log in

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

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

  2. J.S. Bell, Physics 1, 195 (1964)

    Article  Google Scholar 

  3. S. Hill, W.K. Wootters, Phys. Rev. Lett. 78, 5022 (1997)

    Article  ADS  Google Scholar 

  4. A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  5. C.H. Bennett, S.J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  7. H. Olliver, W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)

    Article  ADS  Google Scholar 

  8. K. Modi, A. Brodutch, H. Cable, T. Paterek, V. Vedral, Rev. Mod. Phys. 84, 1655 (2012)

    Article  ADS  Google Scholar 

  9. S. Luo, Phys. Rev. A 77, 042303 (2008)

    Article  ADS  Google Scholar 

  10. M. Ali, A.R.P. Rau, G. Alber, Phys. Rev. A 81, 042105 (2010)

    Article  ADS  Google Scholar 

  11. R. Tana, Phys. Scr. T 153, 014059 (2013)

    ADS  Google Scholar 

  12. L.C. Cleri, J. Maziero, R.M. Serra, Int. J. Quantum Inf. 09, 1837 (2011)

    Article  Google Scholar 

  13. T.K. Chuan, J. Maillard, K. Modi, T. Paterek, M. Paternostro, M. Piani, Phys. Rev. Lett. 109, 070501 (2012)

    Article  ADS  Google Scholar 

  14. A. Streltsov, H. Kampermann, D. Bru, Phys. Rev. Lett. 108, 250501 (2012)

    Article  ADS  Google Scholar 

  15. V. Madhok, A. Datta, Phys. Rev. A 83, 032323 (2011)

    Article  ADS  Google Scholar 

  16. D. Cavalcanti, L. Aolita, S. Boixo, K. Modi, M. Piani, A. Winter, Phys. Rev. A 83, 0323248 (2011)

    Article  Google Scholar 

  17. R.H. Dicke, Phys. Rev. 93, 99 (1954)

    Article  ADS  Google Scholar 

  18. M. Tavis, F.W. Cummings, Phys. Rev. 170, 379 (1968)

    Article  ADS  Google Scholar 

  19. Mikhail Lukin, Michael Fleischhauer, Atac Imamolu, Quantum Information Processing Based on Cavity QED with Mesoscopic Systems (Springer, Berlin, Heidelberg, 2001) p. 193

  20. A.M. Steane, Appl. Phys. B 64, 623 (1997)

    Article  ADS  Google Scholar 

  21. Peter Michler, Quantum Dots for Quantum Information Technologies (Springer, International Publishing, 2017)

  22. D. Braun, Phys. Rev. Lett. 89, 277901 (2002)

    Article  Google Scholar 

  23. T. Yu, J.H. Eberly, Phys. Rev. Lett. 93, 140404 (2004)

    Article  ADS  Google Scholar 

  24. Z. Ficek, R. Tanas, Phys. Rev. A 74, 024304 (2006)

    Article  ADS  Google Scholar 

  25. M.I. Shaukat, A. Shaheen, A.H. Toor, J. Mod. Opt. 60, 21 (2013)

    Article  Google Scholar 

  26. Z. Ficek, R. Tanas, Phys. Rev. A 77, 054301 (2008)

    Article  ADS  Google Scholar 

  27. F. Verstraete, M.M. Wolf, I. Cirac, Nat. Phys. 5, 633 (2009)

    Article  Google Scholar 

  28. M.I. Shaukat, E.V. Castro, H. Terças, arXiv:1801.08894 (2018)

  29. Y. He, M. Jiang, Opt. Commun. 382, 580 (2017)

    Article  ADS  Google Scholar 

  30. M.I. Shaukat, E.V. Castro, H. Terças, arXiv:1801.08169 (2018)

  31. M.I. Shaukat, E.V. Castro, H. Terças, Phys. Rev. A 95, 053618 (2017)

    Article  ADS  Google Scholar 

  32. K. Almutairi, R. Tana, Z. Ficek, Phys. Rev. A 84, 013831 (2011)

    Article  ADS  Google Scholar 

  33. A. Streltsov, W.H. Zurek, Phys. Rev. Lett. 111, 040401 (2013)

    Article  ADS  Google Scholar 

  34. B. Wang, Z.Y. Xu, Z.Q. Chen, M. Feng, Phys. Rev. A 81, 014101 (2010)

    Article  ADS  Google Scholar 

  35. J. Maziero, L.C. Cleri, R.M. Serra, V. Vedral, Phys. Rev. A 80, 044102 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  36. B. Bellomo, G.L. Giorgi, F. Galve, R. Lo Franco, G. Compagno, R. Zambrini, Phys. Rev. A 85, 032104 (2012)

    Article  ADS  Google Scholar 

  37. J.P.G. Pinto, G. Karpat, F.F. Fanchini, Phys. Rev. A 88, 034304 (2013)

    Article  ADS  Google Scholar 

  38. B. Aaronson, R. Lo Franco, G. Adesso, Phys. Rev. A 88, 012120 (2013)

    Article  ADS  Google Scholar 

  39. M.-L. Hu, D.-P. Tian, Ann. Phys. (N.Y.) 343, 132 (2014)

    Article  ADS  Google Scholar 

  40. E. Knill, R. Laflamme, Phys. Rev. Lett. 81, 5672 (1998)

    Article  ADS  Google Scholar 

  41. X.M. Lu, J. Ma, Z. Xi, X. Wang, Phys. Rev. A 83, 012327 (2011)

    Article  ADS  Google Scholar 

  42. Q. Chen, C. Zhang, S. Yu, X.X. Yi, C.H. Oh, Phys. Rev. A 84, 042313 (2011)

    Article  ADS  Google Scholar 

  43. C.H. Bennett, H.J. Bernstein, S. Popescu, B. Schumacher, Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  44. S. Popescu, D. Rohrlich, Phys. Rev. A 56, R3319 (1997)

    Article  ADS  Google Scholar 

  45. W.K. Wootters, Quantum Inf. Comput. 1, 27 (2001)

    MathSciNet  Google Scholar 

  46. T. Yu, J.H. Eberly, Science 323, 598 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  47. S. Bose, V. Vedral, Phys. Rev. A 61, 040101 (2000)

    Article  ADS  Google Scholar 

  48. C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. Smolin, W.K. Wootters, Phys. Rev. Lett. 76, 722 (1996)

    Article  ADS  Google Scholar 

  49. A. Peres, Phys. Rev. Lett. 77, 1413 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  50. G. Vidal, R.F. Werner, Phys. Rev. A 65, 032314 (2002)

    Article  ADS  Google Scholar 

  51. W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

  52. H. Ollivier, W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)

    Article  ADS  Google Scholar 

  53. L. Henderson, V. Vedral, J. Phys. A 34, 6899 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  54. B. Dakić, V. Vedral, Č. Brukner, Phys. Rev. Lett. 105, 190502 (2010)

    Article  ADS  Google Scholar 

  55. B. Bellomo, R. Lo Franco, G. Compagno, Phys. Rev. A 86, 012312 (2012)

    Article  ADS  Google Scholar 

  56. B. Bellomo, G.L. Giorgi, F. Galve, R. Lo Franco, G. Compagno, R. Zambrini, Phys. Rev. A 85, 032104 (2012)

    Article  ADS  Google Scholar 

  57. M. Daoud, R. Ahl Laamara, Phys. Lett. A 376, 2361 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  58. M. Daoud, R. Ahl Laamara, Int. J. Quantum Inf. 10, 1250060 (2012)

    Article  MathSciNet  Google Scholar 

  59. M. Piani, Phys. Rev. A 86, 034101 (2012)

    Article  ADS  Google Scholar 

  60. F.M. Paula, T.R. de Oliveira, M.S. Sarandy, Phys. Rev. A 87, 064101 (2013)

    Article  ADS  Google Scholar 

  61. F.M. Paula, J.D. Montealegre, A. Saguia, T.R. de Oliveira, M.S. Sarandy, EPL 103, 50008 (2013)

    Article  ADS  Google Scholar 

  62. T.R. Bromley, M. Cianciaruso, R. Lo Franco, G. Adesso, J. Phys. A 47, 405302 (2014)

    Article  MathSciNet  Google Scholar 

  63. F. Ciccarello, T. Tufarelli, V. Giovannetti, New J. Phys. 16, 013038 (2014)

    Article  ADS  Google Scholar 

  64. D. Girolami, T. Tufarelli, G. Adesso, Phys. Rev. Lett. 110, 240402 (2013)

    Article  ADS  Google Scholar 

  65. E.P. Wigner, M.M. Yanasse, Proc. Natl. Acad. Sci. U.S.A. 49, 910 (1963)

    Article  ADS  Google Scholar 

  66. S. Luo, Phys. Rev. Lett. 91, 180403 (2003)

    Article  ADS  Google Scholar 

  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)

  68. A. Slaoui, M. Daoud, R.A. Laamara, Quantum Inf. Process. 17, 178 (2018)

    Article  ADS  Google Scholar 

  69. Z. Ficek, R. Tanaś, S. Kielich, Physica A 146, 452 (1987)

    Article  ADS  Google Scholar 

  70. A. Auyuanet, L. Davidovich, Phys. Rev. A 82, 032112 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  71. R.H. Lehmberg, Phys. Rev. A 2, 883 (1970)

    Article  ADS  Google Scholar 

  72. R.H. Lehmberg, Phys. Rev. A 2, 889 (1970)

    Article  ADS  Google Scholar 

  73. A.A. Belavkin, B.Y. Zeldovich, A.M. Perelomov, V.S. Popov, Sov. Phys. JETP 56, 264 (1969)

    Google Scholar 

  74. G.S. Agarwal, Phys. Rev. A 2, 2038 (1970)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. LPHE-Modeling and Simulation, Faculty of Sciences, University Mohammed V, Rabat, Morocco

    A. Slaoui & R. Ahl Laamara

  2. CeFEMA, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

    M. I. Shaukat

  3. University of Engineering and Technology, (RCET Campus), Lahore, Pakistan

    M. I. Shaukat

  4. Department of Physics, Faculty of Sciences-Ain Chock, University Hassan II, Casablanca, Morocco

    M. Daoud

  5. Abdus Salam International Centre for Theoretical Physics, Miramare, Trieste, Italy

    M. Daoud

  6. Centre of Physics and Mathematics, CPM, CNESTEN, Rabat, Morocco

    R. Ahl Laamara

Authors
  1. A. Slaoui
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. I. Shaukat
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Daoud
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. R. Ahl Laamara
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Slaoui.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Slaoui, A., Shaukat, M.I., Daoud, M. et al. Universal evolution of non-classical correlations due to collective spontaneous emission. Eur. Phys. J. Plus 133, 413 (2018). https://doi.org/10.1140/epjp/i2018-12211-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2018-12211-y

Search

Navigation