Skip to main content
Log in

Influences of Detuning on Geometrical Quantum Discord Dynamics in Double Jaynes-Cummings System

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

Abstract

We consider the case that the two-level atom off-resonantly interacts with cavity field via a one-photon hopping in double Jaynes-Cummings system. Geometrical quantum discord (GQD) is adopted to quantify the degree of correlation between two subsystems. GQD dynamics between two atoms, between cavity fields, as well as between atom and cavity fields are studied. The influences of detuning on GQD are discussed. The results obtained using the numerical method show that GQD between two atoms, between cavity fields, and between atom and cavity fields all display periodic oscillations. Furthermore, their periodic oscillations frequencies increase with the increase of detuning. On the other hand, GQD between two cavity fields and that between atom and cavity are weakened with increase of detuning.

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

Access this article

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

Instant access to the full article PDF.

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

Similar content being viewed by others

References

  1. Jaynes, E.T., Cummings, F.W.: Comparison of quantum and semiclassical radiation theories with application to the beam maser. Proc. IEEE. 51, 89–109 (1963)

    Article  Google Scholar 

  2. Zhou, P., Hu, Z.L., Peng, J.S.: J. Mod. Opt. 39(1), 39 (1992)

    Article  ADS  Google Scholar 

  3. Buzek, V.: Light Squeezing in the Jaynes-Cummings Model with Intensity-dependent Coupling. J. Mod. Opt. 36(9), 1151–1162 (1989)

    Article  ADS  Google Scholar 

  4. Hu, Y.H., Tan, Y.G., Liu, Q.: Acta Phys. Sin. 62, 074202 (2013) (in chinese)

    Google Scholar 

  5. Qiang, W.C., Sun, G.H., Dong, Q., et al.: Inf. Process. 90, 17 (2018)

    Google Scholar 

  6. Kwang-II, K., Li, H.M., Zhao, B.K.: Int. J. Theor. Phys. 55, 241 (2016)

    Article  Google Scholar 

  7. Lanyon, B.P., Barbieri, M., Almeida, M.P., et al.: Experimental Quantum Computing without Entanglement. Phys. Rev. Lett. 101, 200501 (2008)

    Article  ADS  Google Scholar 

  8. Datta, A., Vidal, G.: Phys. Rev. A. 75, 042301 (2007)

    Article  ADS  Google Scholar 

  9. Datta, A., Shaji, A., Caves, C.M.: Quantum Discord and the Power of One Qubit. Phys. Rev. Lett. 100, 050502 (2008)

    Article  ADS  Google Scholar 

  10. Olliver, H., Zurek, W.H.: Phys. Rev. Lett. 88, 017901 (2002)

    Article  ADS  Google Scholar 

  11. Chen, Q., Zhang, C.J., Yu, S.X., et al.: Phys. Rev. A. 84, 042313 (2013)

    Article  ADS  Google Scholar 

  12. Giorgi, G.L.: Quantum discord and remote state preparation. Phys. Rev. A. 88, 022315 (2013)

    Article  ADS  Google Scholar 

  13. Wang, L.C., Shen, J., Yi, X.X.: Chin. Phys. B. 20, 050306 (2011)

    Article  ADS  Google Scholar 

  14. Cao, B.L., Shi, Y., Jiang, D.G.: The Dynamics of Quantum Correlations Between Two Atoms in Two Coupled Cavities. Int. J. Theor. Phys. 53, 1920–1929 (2014)

    Article  MATH  Google Scholar 

  15. Zhou, J., Guo, H.: Dynamics of tripartite geometric quantifiers of correlations in a quantum spin system. Phys. Rev. A. 87, 062315 (2013)

    Article  ADS  Google Scholar 

  16. Wang, B., Xu, Z.Y., Chen, Z.Q., et al.: Phys. Rev. A. 81, 014101 (2018)

    Article  ADS  Google Scholar 

  17. Dakic, B., Vedral, V., Brukner, C.: Necessary and Sufficient Condition for Nonzero Quantum Discord. Phys. Rev. Lett. 105, 190502 (2010)

    Article  ADS  MATH  Google Scholar 

  18. Ji, Y.H., Liu, Y.M.: Regulation of Entanglement and Geometric Quantum Discord of Hybrid Superconducting Qubits for Circuit QED. Int. J. Theor. Phys. 52(9), 3220–3228 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  19. Chen, H., Fu, Y.Q., Fang, J.X.: Geometric Discord of Non-X-Structured State under Decoherence Channels. Int. J. Theor. Phys. 53, 2967–2979 (2014)

    Article  MATH  Google Scholar 

  20. Jiang, F.J., Lu, H.J., Yan, X.H.: et al. Chin. Phys. B. 22, 040303 (2013)

    Article  ADS  Google Scholar 

  21. Cui, H.T., Tian, J.L., Yang, G.: A Generalized Geometric Measurement of Quantum Discord: Exact Treatment. Commun. Theor. Phys. 65(2), 154–164 (2016) (in chinese)

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This work is supported by the Natural Science Foundation of Fujian Province of China Under Grant No.2015 J01020.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dao-Ming Lu.

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

Lu, DM. Influences of Detuning on Geometrical Quantum Discord Dynamics in Double Jaynes-Cummings System. Int J Theor Phys 58, 1395–1403 (2019). https://doi.org/10.1007/s10773-019-04029-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-019-04029-3

Keywords

PACC

PACS

Navigation