Skip to main content
SpringerLink
Log in

Dynamics of Skew-Information and Bell’s Inequality Correlations for Two Coupled Dipole Qubits with 2-Photon Transition

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We consider a dissipative system of two qubits interacting with a cavity field through the degenerate 2-photon transitions. The cavity is initially prepared in a superposition of coherent states. The non-classical correlations (NCCs) are investigated. Their robustness is analyzed by using the Skew information and the Bell’s non-locality. We show that the system presents stationary correlations and sudden birth entanglement. These phenomena depend crucially on the superposition of the coherent states, the dissipation rate and the dipole-dipole interaction parameters.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. van Enk, S.J., Kimble, H.J., Mabuchi, H.: Quantum Inf. Process 3, 75 (2004)

    Article  Google Scholar 

  2. Turchette, Q.A., Wood, C.S., King, B.E., Myatt, C.J., Leibfried, D., Itano, W.M., Monroe, C., Wineland, D.J.: . Phys. Rev. Lett. 81, 3631 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. Tavis, M., Cummings, F.W.: . Phys. Rev. 692, 188 (1969)

    Google Scholar 

  5. Neuzner, A., Körber, M., Morin, O., Ritter, S., Rempe, G.: . Nat. Photonics 10, 303 (2016)

    Article  ADS  Google Scholar 

  6. Fink, J.M., Bianchetti, R., Baur, M., Göppl, M., Steffen, L., Filipp, S., Leek, P.J., Blais, A., Wallraff, A.: . Phys. Rev. Lett. 103, 083601 (2009)

    Article  ADS  Google Scholar 

  7. Deng, G.-W., Wei, D., Li, S.-X., Johansson, J.R., Kong, W.-C., Li, H.-O., Cao, G., Xiao, M., Guo, G.-C., Nori, F., Jiang, H.-W., Guo, G.-P.: . Nano. Lett. 15, 6620 (2015)

    Article  ADS  Google Scholar 

  8. Brune, M., Raimond, J.M., Haroche, S.: . Phys. Rev. A 35, 154 (1987)

    Article  ADS  Google Scholar 

  9. Sete, E.A., Eleuch, H.: . Phys. Rev. A 89, 013841 (2014)

    Article  ADS  Google Scholar 

  10. Feng, M., Zhong, Y.P., Liu, T., Yan, L.L., Yang, W.L., Twamley, J., Wang, H.: . Nature Comm. 6, 1 (2015)

    Google Scholar 

  11. Eastham, P.R., Littlewood, P.B.: . Phys. Rev. B 64, 235101 (2011)

    Article  ADS  Google Scholar 

  12. Sete, E.A., Eleuch, H.: . Phys. Rev. A 82, 043810 (2010)

    Article  ADS  Google Scholar 

  13. Cui, W., Xi, Z.R., Pan, Y.: . Eur. Phys. J. D 59, 479 (2010)

    Article  ADS  Google Scholar 

  14. Mohamed, A.-B.A.: . Rep. Math. Phys. 72, 121 (2013)

    Article  ADS  Google Scholar 

  15. Daneshmand, R., Tavassoly, M.K.: . Ann. Phys. (Berlin) 529, 1600246 (2017)

    Article  ADS  Google Scholar 

  16. Tacchino, F., Auffèves, A., Santos, M.F., Gerace, D.: . Phys. Rev. Lett. 120, 063604 (2018)

    Article  ADS  Google Scholar 

  17. Mohamed, A.-B.A.: . Quantum. Inf. Process. 17, 96 (2018)

    Article  ADS  Google Scholar 

  18. Sete, E.A., Eleuch, H., Ooi, C.H.R.: . J. Opt. Soc. Am. B 31, 2821 (2014)

    Article  ADS  Google Scholar 

  19. Clauser, J.F., Horne, M.A., Shimony, A.: . Phys. Rev. Lett. 23, 880 (1969)

    Article  ADS  Google Scholar 

  20. Eleuch, H.: . Eur. Phys. J. D 49, 391 (2008)

    Article  ADS  Google Scholar 

  21. Luo, S.: . Phys. Rev. A 77, 022301 (2008)

    Article  ADS  Google Scholar 

  22. Luo, S., Fu, S. : . EPL 92, 20004 (2010)

    Article  ADS  Google Scholar 

  23. Luo, S., Fu, S.: . Phys. Rev. Lett. 106, 120401 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  25. Dakic, B., Vedral, V., Brukner, C.: . Phys. Rev. Lett. 105, 190502 (2010)

    Article  ADS  Google Scholar 

  26. Wigner, E.P., Yanase, M.M.: . Proc. Natl. Acad. Sci. USA 49, 910 (1963)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  28. Wu, S.-X., Zhang, J., Yu, C.-S., Song, H.-S.: . Phys. Lett. A 378, 344 (2014)

    Article  ADS  Google Scholar 

  29. Sen, A., Sarkar, D., Bhar, A.: . Quantum Inf. Process. 15, 233 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  30. He, Z., Yao, C., Wang, Q., Zou, J.: . Phys. Rev. A 90, 042101 (2014)

    Article  ADS  Google Scholar 

  31. Mohamed, A.-B.A., Metwally, N.: . Ann. Phys. 381, 137 (2017)

    Article  ADS  Google Scholar 

  32. Jha, P.K., Eleuch, H., Rostovtsev, Y.V.: . Phys. Rev. A 82, 045805 (2010)

    Article  ADS  Google Scholar 

  33. Berrada, K., Chafik, A., Eleuch, H., Hassoun, Y.: . Quantum. Inf. Process. 9, 13 (2010)

    Article  MathSciNet  Google Scholar 

  34. Obada, A.-S.F., Hessian, H.A., Mohamed, A.-B.A.: . Laser Phys. 18, 1111 (2008)

    Article  ADS  Google Scholar 

  35. Milburn, G.J.: . Phys. Rev. A 44, 5401 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  36. Gardiner, C.W: Quantum Noise. Springer, Berlin (1991)

    Book  MATH  Google Scholar 

  37. Bashkirov, E.K., Mastyugin, M.S.: . Opt. Commun. 313, 170 (2014)

    Article  ADS  Google Scholar 

  38. Fan, K.-M., Zhang, G.: . Eur. Phys. J. D 68, 163 (2014)

    Article  ADS  Google Scholar 

  39. Mirmasoudi, F., Ahadpour, S.: . J. Phys. A 51, 345302 (2018)

    Article  MathSciNet  Google Scholar 

  40. Obada, A.-S.F., Mohamed, A.-B.A.: . Opt. Commun. 309, 236 (2013)

    Article  ADS  Google Scholar 

  41. Obada, A.-S.F., Abdel-Hafez, A.M., Hessian, H.A.: . J. Phys. B 31, 5085 (1998)

    Article  ADS  Google Scholar 

  42. Anwar, S.J., Ramzan, M., Khan, M.K.: . Quantum Inf. Process 16, 142 (2017)

    Article  ADS  Google Scholar 

  43. Mohamed, A.-B.A., Eleuch, H.: . J. Mod. Opt. 65, 2213 (2018)

    ADS  Google Scholar 

  44. Obada, A.-S.F., Khalil, E.M., Ahmed, M.M.A., Elmalky, M.M.Y.: . Int. J. Theor. Phys. 57, 2787 (2018)

    Article  Google Scholar 

  45. Mohamed, A.-B.A., Hashem, M.: . Int. J. Theor. Phys. 57, 2968 (2018)

    Article  Google Scholar 

  46. Mohamed, A.-B.A., Obada, A.-S.F.: . Quantum Inf. Process. 17, 277 (2018)

    Article  ADS  Google Scholar 

  47. Mohamed, A.-B.A., Hessian, H.A.: . J. Mod. Opt. 64, 521 (2017)

    Article  ADS  Google Scholar 

  48. Mohamed, A.-B.A., Eleuch, H.: . Phys. Scr. 92, 065101 (2017)

    Article  ADS  Google Scholar 

  49. Mohamed, A.-B.A., Metwally, N.: . Phys. E 102, 1 (2018)

    Article  Google Scholar 

  50. Metwally, N., Al-Mannai, A., Abdel-Aty, M.: . Commun. Theor. Phys. 59, 769 (2013)

    Article  ADS  Google Scholar 

  51. Horodecki, R., Horodecki, P., Horodecki, M.: . Phys. Lett. A 200, 340 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  52. Horodecki, R.: . Phys. Lett. A 210, 223 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  53. Mohamed, A.-B.A., Eleuch, H.: . J. Opt. Soc. Am. B 35, 47 (2018)

    Article  ADS  Google Scholar 

  54. Mohamed, A.-B.A.: . Eur. Phys. J. D 71, 261 (2017)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  56. Mohamed, A.-B.A., Hessian, H.A., Obada, A.-S.F.: . Phys. A 390, 519 (2011)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Science, Prince Sattam Bin Abdulaziz University, Al-Aaj, Saudi Arabia

    A.-B. A. Mohamed

  2. Faculty of Science, Assiut University, Assiut, Egypt

    A.-B. A. Mohamed

  3. Institute for Quantum Science and Engineering, Texas A&M University, College Station, TX, 77843, USA

    H. Eleuch

  4. Department of Applied Sciences and Mathematics, College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, UAE

    H. Eleuch

Authors
  1. A.-B. A. Mohamed
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Eleuch
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A.-B. A. Mohamed.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mohamed, AB.A., Eleuch, H. Dynamics of Skew-Information and Bell’s Inequality Correlations for Two Coupled Dipole Qubits with 2-Photon Transition. Int J Theor Phys 58, 1698–1710 (2019). https://doi.org/10.1007/s10773-019-04068-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-019-04068-w

Keywords

Search

Navigation