Skip to main content
Log in

Entanglement Dynamics and Chaos in the Dicke Model

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

Abstract

We study dynamical properties of quantum entanglement in the Dicke model with and without the rotating-wave approximation. Specifically, we investigate the maximal entanglement and mean entanglement which reflect the underlying chaos in the system, and a good classical-quantum correspondence is found. We also show that the maximal linear entropy can be more sensitive to chaos than the mean linear entropy.

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.

Similar content being viewed by others

References

  1. Bennett, C.H., Brassard, G., Crepeau, C., Josza, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  2. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  5. Bennett, C.H., DiVincenzo, D.P., Smolin, J.A., Wootter, W.K.: Phys. Rev. A 54, 3824 (1996)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. Wang, X., Sanders, B.C.: Phys. Rev. A 68, 012101 (2003)

    Article  ADS  Google Scholar 

  8. Sørensen, A., Duan, L.M., Cirac, I., Zoller, P.: Nature 63, 409 (2001)

    Google Scholar 

  9. Ulam-Orgikh, D., Kitagawa, M.: Phys. Rev. A 64, 052106 (2001)

    Article  ADS  Google Scholar 

  10. Angelo, R.M., Furuya, K.: Phys. Rev. A 71, 042321 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  11. Hou, X.W., Chen, J.H., Hu, B.: Phys. Rev. A 71, 034302 (2005)

    Article  ADS  Google Scholar 

  12. Angelo, R.M., et al.: Physica A 338, 458 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  13. Emary, C., Brandes, T.: Phys. Rev. Lett. 90, 044101 (2003)

    Article  ADS  Google Scholar 

  14. Emary, C., Brandes, T.: Phys. Rev. A 69, 053804 (2004)

    Article  ADS  Google Scholar 

  15. Yan, D., Wang, X., Wu, L.A.: Chin. Phys. Lett. 22, 271 (2005)

    Article  ADS  Google Scholar 

  16. Song, L.J., Wang, X., Yan, D., Zong, Z.G.: J. Phys. B: At. Mol. Opt. Phys. 39, 559 (2006)

    Article  ADS  Google Scholar 

  17. Zurek, W.H., Paz, J.P.: Physica D 83, 300 (1995)

    Article  Google Scholar 

  18. Zurek, W.H., Habib, S., Paz, J.P.: Phys. Rev. Lett. 70, 1187 (1993)

    Article  ADS  Google Scholar 

  19. Tanaka, A.: J. Phys. A 29, 5475 (1996)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  20. Angelo, R.M., Furuyu, K., Nemes, M.C., Pellegrino, G.Q.: Phys. Rev. E 60, 5407 (1999)

    Article  ADS  Google Scholar 

  21. Milonni, P.W., Ackerhalt, J.R., Galbraith, H.W.: Phys. Rev. Lett. 50, 966 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  22. Milonni, P.W., Shih, M.L., Ackerhalt, J.R.: Chaos in Laser-Matter Interactions. World Scientific Lecture Notes in Physics, vol. 6. World Scientific, Singapore (1987)

    Google Scholar 

  23. Finney, G.A., Gea-Banacloche, J.: Phys. Rev. E 54, 1449 (1996)

    Article  ADS  Google Scholar 

  24. Furuya, K., Nemes, M.C., Pellegrino, G.Q.: Phys. Rev. Lett. 80, 5524 (1998)

    Article  ADS  Google Scholar 

  25. Sanz, L., Furuya, K.: quant-ph/0507025 (2005)

  26. Solano, E., Agarwal, G.S., Walther, H.: Phys. Rev. Lett. 90, 027903 (2003)

    Article  ADS  Google Scholar 

  27. Davidovich, L., Maali, A., Brune, M., Raimond, J.M., Haroche, S.: Phys. Rev. Lett. 71, 2360 (1993)

    Article  ADS  Google Scholar 

  28. Cirac, J.I., Parkins, A.S., Blatt, R., Zoller, P.: Adv. At. Mol. Opt. Phys. 37, 237 (1996)

    Google Scholar 

  29. Solano, E., de Matos Filho, R.L., Zagury, N.: Phys. Rev. Lett. 87, 060402 (2001)

    Article  ADS  Google Scholar 

  30. Arecchi, F.T., Courtens, E., Gilmore, R., Thomas, H.: Phys. Rev. A 6, 2211 (1972)

    Article  ADS  Google Scholar 

  31. Glauber, R.J.: Phys. Rev. 131, 2766 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  32. Zhang, W.M., Feng, D.H., Gilmore, R.: Rev. Mod. Phys. 62, 867 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  33. Kramer, P., Saraceno, M.: Geometry of the Time-Dependent Variational Principle in Quantum Mechanics. Lecture Notes in Physics, vol. 140. Springer, New York (1981)

    MATH  Google Scholar 

  34. de Aguiar, M.A.M., Furuya, K., Lewenkopf, C.H., Nemes, M.C.: Ann. Phys. 216, 291 (1992)

    Article  MATH  ADS  Google Scholar 

  35. de Aguiar, M.A.M., Furuya, K., Lewenkopf, C.H., Nemes, M.C.: Europhys. Lett. 15, 125 (1991)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Vedral, V., Plenio, M.B., Jacobs, K., Knight, P.L.: Phys. Rev. A 56, 4452 (1997)

    Article  ADS  Google Scholar 

  39. Vedral, V., Plenio, M.B., Rippin, M.A., Knight, P.L.: Phys. Rev. Lett. 78, 2275 (1997)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  40. Zyczkowski, K., Horodecki, P., Sanpera, A., Lewenstein, M.: Phys. Rev. A 58, 883 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  41. Lakshminarayan, A.: Phys. Rev. E 64, 036207 (2001)

    Article  ADS  Google Scholar 

  42. Hou, X., Hu, B.: Phys. Rev. A 69, 042110 (2004)

    Article  ADS  Google Scholar 

  43. Anglo, R.M., Furuya, K., Nemes, M.C., Pellegrino, G.Q.: Phys. Rev. E 60, 5407 (1999)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dong Yan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Song, L., Wang, X., Yan, D. et al. Entanglement Dynamics and Chaos in the Dicke Model. Int J Theor Phys 47, 2635–2644 (2008). https://doi.org/10.1007/s10773-008-9700-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-008-9700-7

Keywords

Navigation