Skip to main content
Log in

Synchronization and identification of uncertain time-variant network consisting of Dicke models

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

Abstract

We propose a general scheme to synchronize the quantum chaotic systems within a time-variant network and to identify the uncertain parameters belonging to the quantum chaotic systems. Based on Lyapunov stability theorem, in this work, the efficient synchronization controller and identification law are designed simultaneously. And subsequently, the uncertain classical time-variant network consisting of Dicke models is taken as an example in order to verify the effectiveness of designed controller and identification law. The simulation results show that the expectation synchronization among Dicke models and identification of undetermined parameters can be realized perfectly according to our scheme, which proves that the new scheme can deal with not only fixed network but also time-variant complex network.

Graphical abstract

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. A. Frisch, M. Mark, K. Aikawa, F. Ferlaino, J.L. Bohn, C. Makrides, A. Petrov, S. Kotochigova, Nature 507, 475 (2014)

    Article  ADS  Google Scholar 

  2. S. Behnia, J. Ziaei, M. Khodavirdizadeh, Phys. Lett. A 381, 2882 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  3. M.J. Zhu, B. Zhan, Eur. Phys. J. D 72, 50 (2018)

    Article  ADS  Google Scholar 

  4. G. Blum, S. Gnutzmann, U. Smilansky, Phys. Rev. Lett. 88, 114101 (2002)

    Article  ADS  Google Scholar 

  5. U. Naether, J.J.G. Ripoll, J.J. Mazo, D. Zueco, Phys. Rev. Lett. 112, 074101 (2014)

    Article  ADS  Google Scholar 

  6. S. Saidi, M. Maaroufi, L.B. Drissi, Eur. Phys. J. D 72, 22 (2018)

    Article  ADS  Google Scholar 

  7. W.L. Li, C. Li, H.S. Song, Phys. Lett. A 380, 672 (2016)

    Article  ADS  Google Scholar 

  8. N. Lörch, S.E. Nigg, A. Nunnenkamp, R.P. Tiwari, C. Bruder, Phys. Rev. Lett. 118, 243602 (2017)

    Article  ADS  Google Scholar 

  9. B. Bellomo, G.L. Giorgi, G.M. Palma, R. Zambrini, Phys. Rev. A 95, 043807 (2017)

    Article  ADS  Google Scholar 

  10. W.L. Li, W.Z. Zhang, C. Li, H.S. Song, Phys. Rev. E 96, 012211 (2017)

    Article  ADS  Google Scholar 

  11. K.S. Sudheer, M. Sabir, Phys. Lett. A 373, 1847 (2009)

    Article  ADS  Google Scholar 

  12. M.R. Hush, W.B. Li, S. Genway, I. Lesanovsky, A.D. Armour, Phys. Rev. A 91, 061401 (2015)

    Article  ADS  Google Scholar 

  13. Y. Gül, Int. J. Mod. Phys. B 32, 1850088 (2018)

    Article  ADS  Google Scholar 

  14. M. Appleby, C.A. Fuchs, B.C. Stacey, H. Zhu, Eur. Phys. J. D 71, 197 (2017)

    Article  ADS  Google Scholar 

  15. K. Makino, Y. Hashimoto, J. Yoshikawa, H. Ohdan, T. Toyama, P. Loock, A. Furusawa, Sci. Adv. 2, e1501772 (2017)

    Article  ADS  Google Scholar 

  16. W.L. Li, C. Li, H.S. Song, Physica A 463, 427 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  17. M.A. Jafarizadeh, N. Karimi, D.A. Sahlan, A. Heshmati, M. Yahyavi, Eur. Phys. J. D 71, 254 (2017)

    Article  ADS  Google Scholar 

  18. W.L. Li, C. Li, H.S. Song, Quantum Inf. Process. 16, 80 (2017)

    Article  ADS  Google Scholar 

  19. E. Amitai, N. Lörch, A. Nunnenkamp, S. Walter, C. Bruder, Phys. Rev. A 95, 053858 (2017)

    Article  ADS  Google Scholar 

  20. T. Li, T.Y. Bao, Y.L. Zhang, C.L. Zou, X.B. Zou, G.C. Guo, Opt. Express 24, 12336 (2016)

    Article  ADS  Google Scholar 

  21. A. Mari, A. Farace, N. Didier, V. Giovannetti, R. Fazio, Phys. Rev. Lett. 111, 103605 (2013)

    Article  ADS  Google Scholar 

  22. G.L. Giorgi, F. Plastina, G. Francica, R. Zambrini, Phys. Rev. A 88, 042115 (2013)

    Article  ADS  Google Scholar 

  23. G.L. Giorgi, F. Galve, R. Zambrini, Phys. Rev. A 94, 052121 (2016)

    Article  ADS  Google Scholar 

  24. P.P. Orth, D. Roosen, W. Hofstetter, K.L. Hur, Phys. Rev. B 82, 144423 (2010)

    Article  ADS  Google Scholar 

  25. B. Militello, H. Nakazato, A. Napoli, Phys. Rev. A 96, 023862 (2017)

    Article  ADS  Google Scholar 

  26. G. Manzano, F. Galve, G.L. Giorgi, E. Hernández-Garca, R. Zambrini, Sci. Rep. 3, 1439 (2013)

    Article  ADS  Google Scholar 

  27. C.M. Bai, Z.H. Li, M.M. Si, Y.M. Li, Eur. Phys. J. D 71, 255 (2017)

    Article  ADS  Google Scholar 

  28. W.L. Li, T. Gebremariam, C. Li, H.S. Song, Physica A 465, 621 (2016)

    Article  ADS  Google Scholar 

  29. C.H. Yang, Z.M. Ge, C.M. Chang, S.Y. Li, Nonlinear Anal. Real World Appl. 11, 1977 (2010)

    Article  MathSciNet  Google Scholar 

  30. W.L. Li, C. Li, H.S. Song, Phys. Rev. E 93, 062221 (2016)

    Article  ADS  Google Scholar 

  31. S. Wang, L. Cai, W.U. Gang, Control Decision 23, 204 (2008)

    Google Scholar 

  32. W.L. Li, C. Li, H.S. Song, Phys. Rev. E 95, 022204 (2017)

    Article  ADS  Google Scholar 

  33. O.V. Maslennikov, V.I. Nekorkin, J. Kurths, Phys. Rev. E 92, 042803 (2015)

    Article  ADS  Google Scholar 

  34. W.L. Li, F.Y. Zhang, C. Li, H.S. Song, Commun. Nonlinear Sci. Numer. Simul. 42, 121 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  35. J.Q. Li, F.M. Bai, X.Q. Qi, Adv. Mater. Res. 1259, 912 (2014)

    Article  Google Scholar 

  36. C.R. Li, L. Lü, Y.M. Yang, S. Zhou, Y.X. Hong, Physica A 492, 2301 (2018)

    Article  ADS  MathSciNet  Google Scholar 

  37. L. Lü, C.R. Li, S.Y. Bai, G. Li, T.T. Rong, Y. Gao, Z. Yan, Physica A 482, 808 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  38. L.P. Pecora, T.L. Carroll, Phys. Rev. Lett. 80, 2109 (1998)

    Article  ADS  Google Scholar 

  39. T.T. Li, C.R. Li, C. Wang, F.J. He, G.Y. Zhou, J.C. Sun, F. Han, Chin. Phys. B 25, 128902 (2016)

    Article  ADS  Google Scholar 

  40. A. Kumar, Phys. Lett. A 381, 991 (2017)

    Article  ADS  Google Scholar 

  41. T. Holstein, H. Primakoff, Phys. Rev. 58, 1098 (1940)

    Article  ADS  Google Scholar 

  42. G. Yu, Z.X. Yu, D.X. Zhang, Acta Photonica Sin. 25, 694 (1996)

    Google Scholar 

  43. X.W. Hou, B. Hu, Phys. Rev. A 69, 042110 (2004)

    Article  ADS  Google Scholar 

  44. L.J. Song, D. Yan, Y.J. Gai, Y.B. Wang, Acta Phys. Sin. 60, 020302 (2011). (in Chinese)

    Google Scholar 

  45. M.E.J. Newman, D.J. Watts, Phys. Rev. E 60, 7332 (1999)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chengren Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

He, F., Li, C., Fan, X. et al. Synchronization and identification of uncertain time-variant network consisting of Dicke models. Eur. Phys. J. D 73, 145 (2019). https://doi.org/10.1140/epjd/e2019-90232-0

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2019-90232-0

Keywords

Navigation