Skip to main content
SpringerLink
Log in

Quantum dynamics of a kicked system with position-dependent effective mass

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

Abstract

The quantum dynamics of a complexified position-dependent effective-mass system is considered within the framework of the δ-function kicking perturbation. The absorptive/dissipative dynamics of the system exhibits energy crossing subject to different parametrization of space deformation upon time evolution, which is reminiscent of chaotic behavior in quantum systems. It is also observed a cross-over from ballistic dissipation to dynamic localization for decreasing perturbation strengths.

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

Similar content being viewed by others

References

  1. K. Young, Phys. Rev. B 39, 13434 (1989).

    Article  ADS  Google Scholar 

  2. G.L. Herling, M.L. Rustgi, J. Appl. Phys. 71, 796 (1992).

    Article  ADS  Google Scholar 

  3. Joseph Emerson, Yaakov S. Weinstein, Seth Lloyd, D.G. Cory, Phys. Rev. Lett. 89, 28102 (2002).

    Article  MathSciNet  Google Scholar 

  4. A. Kowalewska-Kudlaszyk, J.K. Kalaga, W. Leonski, Phys. Lett. A 373, 1334 (2009).

    Article  ADS  MATH  Google Scholar 

  5. M. Jesus Seoane, A.F. Miguel Sanjuan, Rep. Prog. Phys. 76, 016001 (2013).

    Article  ADS  Google Scholar 

  6. H.A. Larrondo, D.R. Avalos, Nonlinear Dyn. 11, 407 (1999).

    MathSciNet  Google Scholar 

  7. R.F. Mudde, S.G. Jansz, Physica D 179, 1 (2003).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  8. S. Mukhopadhyay, B. Demircioglu, A. Chatterjee, Nonlinear Dyn. Syst. Theor. 11, 173 (2011).

    MATH  MathSciNet  Google Scholar 

  9. B. Bagchi, S. Das, S. Ghosh, S. Poria, J. Phys. A: Math. Theor. 46, 032001 (2013).

    Article  ADS  MathSciNet  Google Scholar 

  10. A.J. Peter, K. Navaneethakrishnan, Physica E 40, 2747 (2008).

    Article  ADS  Google Scholar 

  11. O. von Roos, Phys. Rev. B 27, 7547 (1983).

    Article  ADS  Google Scholar 

  12. Richard A. Morrow, Kenneth R. Brownstein, Phys. Rev. B 30, 678 (1984).

    Article  ADS  Google Scholar 

  13. D.J. BenDaniel, C.B. Duke, Phys. Rev. 152, 683 (1966).

    Article  ADS  Google Scholar 

  14. M. Sabatini, J. Differ. Equ. 196, 151 (2004).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  15. M. Vubangsi, M. Tchoffo, L.C. Fai, Phys. Scr. 89, 025101 (2014).

    Article  ADS  Google Scholar 

  16. R.L. Liboff, M.A. Porter, Physica D 195, 398 (2004).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. D.C. McGarvey, J. Math. Anal. Appl. 4, 366 (1962).

    Article  MATH  MathSciNet  Google Scholar 

  18. A.-P. Zhang, P. Shi, Y.-W. Ling, Z.-W. Hua, Acta Phys. Pol. A 120, 987 (2011).

    Google Scholar 

  19. H. Feshbach, C.E. Porter, V.F. Weisskopf, Phys. Rev. 96, 488 (1954).

    Article  ADS  Google Scholar 

  20. T. Tomita, Phys. Rep. 86, 113 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  21. B.A. Huberman, Phys. Rep. 92, 45 (1982).

    Article  ADS  MathSciNet  Google Scholar 

  22. M. van Exter, A. Lagendijk, Phys. Lett. A 99, 1 (1983).

    Article  ADS  Google Scholar 

  23. A.T. Winfree, The Geometry of Biological Time (Springer-Verlag, Berlin, 1980).

  24. E. Blokhiba, O. Feely, Int. J. Bifurc. Chaos 19, 187 (2009).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mesoscopic and Multilayer Structures Laboratory (MMLS), Department of Physics, Faculty of Science, University of Dschang, P.O. Box 417, West Region, Cameroon

    M. Vubangsi, M. Tchoffo & L. C. Fai

  2. Department of Physics, Higher Teacher’s Training College, University of Bamenda, P.O. Box 39, North West Region, Cameroon

    L. C. Fai

Authors
  1. M. Vubangsi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. Tchoffo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. L. C. Fai
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Vubangsi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vubangsi, M., Tchoffo, M. & Fai, L.C. Quantum dynamics of a kicked system with position-dependent effective mass. Eur. Phys. J. Plus 129, 129 (2014). https://doi.org/10.1140/epjp/i2014-14129-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2014-14129-8

Keywords

Search

Navigation