Skip to main content
SpringerLink
Log in

Dynamics of Entanglement of Two Atoms in Two Dissipative Cavities in the Double Jaynes-Cummings Models

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

Abstract

We consider two separated single mode disipative cavities that each containing a single two-level atom. The fields in cavities are both initially prepared in the coherent states, and the atoms are initially prepared in the singlet state \( \mid {\varPsi}^{-}\Big\rangle =\frac{1}{\sqrt{2}}\left(| eg\Big\rangle -| ge\Big\rangle \right) \). In the dispersive approximation, we show that, the entanglement between the two atoms decays to a steady value after a period of time of oscillations. We also show the impact of some parameters on the steady entanglemant 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

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Jaynes, E.T., Cummings, F.W.: Proc. IEEE 51, 89 (1963)

    Article  Google Scholar 

  2. Shore, B.W., Knight, C.L.: J. Mod. Opt 40, 1195 (1993)

  3. Meystre, P.: Phys. Rep. 219, 243 (1992)

  4. Jaynes, E.T., Cummings, F.W.: Comparison of quantum and semi2classical radiation theories with application to the beam[J]. Proc. IEEE 51(3), 89 (1963)

    Article  Google Scholar 

  5. Hu, J.W., Yu, H.W.: Entanglement dynamics for uniformly accelerated two-level atoms[J]. Phys. Rev. A 91(01), 2015 (2327)

    MathSciNet  Google Scholar 

  6. Wong, J.D., Moses, S.A., Johnson, K.G., Monrone, C.: Demonstration of two-atom entangelement with ultrafast optical pulses[J]. Phys. Rev. Lett. 119, 230501 (2017)

    Article  ADS  Google Scholar 

  7. Amooghorban, E., Aleebrahim, E.: Entanglement dynamics of two-level atoms in the vicinity of an invisibility cloak[J]. Phys. Rev. A 96(01), 2339 (2017)

    Article  ADS  Google Scholar 

  8. Entanglement, S.P.: Identity, and disentanglement in two-atom spontaneous emission[J]. Phys. Rev. A 95(03), 2017 (2116)

    Google Scholar 

  9. Liu, X.B., Tian, Z.H., Wang, J.C., Jing, J.L.: Radiatiove process of two entangelment atoms in de sitter spacetime[J]. Phys. Rev. D 97, 105030 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  10. Yang, Y.Q., Hu, J.W., Yu, H.W.: Entanglement dynamics for uniformly accelerated two-level atoms coupled with electromagnetic vacuum ?uctuatioins[J]. Phys. Rev. A 94(03), 2016 (2337)

    Google Scholar 

  11. Matsuoka, F., Tomita, A., Okamoto, A.: Entangelment generation by communication using squeezed states[J]. Phys. Rev. A 88(02), 2013 (2313)

    Google Scholar 

  12. Huang, Y.X., Hao, D.S., Zhang, X.W.: Quantum propreties of the atom in the intensity dependent coupling J-C model with an additional Kerr medium [J]. Chin. J. Quantum Electron. 20(1), 67 (2003)

    Google Scholar 

  13. Buzek, V.: Light squeezing in the Jaynes-Cummings modeln with intensity-dependent coupling [J]. J. Mod. Opt. 36(9), 1151 (1989)

    Article  ADS  Google Scholar 

  14. Fang, M.F., Wang, L.Y.: Phase properties of the field in the intensity-dependent coupling multiphoton Jaynes-Cummings model[J]. Chin. J. Quantum Electron. 10(3), 255 (1993)

    Google Scholar 

  15. Chen, Q.H., Yang, Y., Liu, T., Wang, K.L.: Entanglement dynamics of two independent Jaynes- Cummings atoms without the rotating wave sapproximation[J]. Phys. Rev. A 82(05), 2010 (2306)

    Google Scholar 

  16. Zhou, P., Hu, Z.L., Peng, J.S.: Effect of atomic coherence on the collapses and revivais in some generalized Haynes2 Cummings models[J]. J. Mod. Opt 39(1), 49 (1992)

    Article  ADS  Google Scholar 

  17. Li, D.X., Shao X.Q.: Unconventional Rydberg pumping and applications in quantum information processing[J]. Phys. Rev. A 98(06), 2018 (2338)

  18. Xu, D.H., Peng, J.S.: Quantum properties of atomic dynamical behavior in the intensity-dependent coupling Jaynes-Cummings model [J]. Chin. J. Quantum Electron. 11(3), 176 (1994)

    Google Scholar 

  19. Huang, Y.X., Hao, D.S., Zhang, X.W.: Quantum propreties of the atom in the intensity dependent coupling J-C model with an additional Kerr medium [J]. Chin. J. Quantum Electron. 20(1), 67 (2003)

    Google Scholar 

  20. Buzek, V.: Light squeezing in the Jaynes-Cummings modeln with intensity-dependent coupling [J]. J. Mod. Opt. 36(9), 1151 (1989)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Science, Guangdong Ocean University, Zhanjiang, Guangdong, 524088, China

    Qin Xie & Jiang Huang

Authors
  1. Qin Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jiang Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jiang Huang.

Additional information

Publisher’s Note

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

Projects supported by the Guangdong Ocean University of China (Grant No. 2015A030310354).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xie, Q., Huang, J. Dynamics of Entanglement of Two Atoms in Two Dissipative Cavities in the Double Jaynes-Cummings Models. Int J Theor Phys 58, 3815–3821 (2019). https://doi.org/10.1007/s10773-019-04249-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-019-04249-7

Keywords

Search

Navigation