Skip to main content
Log in

Non-linear dynamics of a driven two-level tunnelling defect

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

With increasing external-field amplitude the dynamics of a driven two-level system shows a cross-over from the weak-coupling or linear-response behaviour to a non-linear regime which is characterised by the appearance of Rabi oscillations, a field-dependent dynamical susceptibility, saturation of energy dissipation and additional frequencies in the correlation function. The system any initial distribution will relax towards a stationary state with a time-dependent polarisation vector. These features are derived from the propagator of the two-level system which is calculated using a perturbative scheme with a well-defined small parameter; the roatating-wave approximation of the Bloch equations is avoided. the dynamical behaviour is discussed by means of correlation and response functions.

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. Rabi, I.I.: Phys. Rev.51, 652 (1937)

    Google Scholar 

  2. Bloch, F.: Phys. Rev.70, 460 (1946)

    Google Scholar 

  3. Klauder, J.R., Anderson, P.W.: Phys. Rev.125, 912 (1962)

    Google Scholar 

  4. Wong, N.C., Kano, S.S., Brewer, R.C.: Phys. Rev. A21, 260 (1980)

    Google Scholar 

  5. Carmichael, H.J., Walls, D.F.: J. Phys. B9, 1199 (1976)

    Google Scholar 

  6. Black, J.L., Halperin, B.I.: Phys. Rev. B16, 2879 (1977)

    Google Scholar 

  7. Hunklinger, S., Arnold, W., Steins, S., Nava, R., Dransfeld, K.: Phys. Lett. A42, 253 (1972)

    Google Scholar 

  8. Von Schickfus, M., Hunklinger, S.: Phys. Lett. A64, 144 (1977);

    Google Scholar 

  9. Hunklinger, S., Arnold, W.: Physical acoustic. Vol. 12, Thuyston, R.N., Mason, W.P. (eds.), p. 155. New York: Academic Press 1976

    Google Scholar 

  10. Enss, C.: Ph. D. Thesis, Heidelberg 1991 (unpublished)

  11. Galperin, Yu.M., Gurvich, V.L., Parshin, D.A.: Phys. Rev. B37 10339 (1988)

    Google Scholar 

  12. Brenig, W.: Statistical theory of heat: non-equilibrium phenomena. Berlin, Heidelberg, New York: Springer 1989

    Google Scholar 

  13. Haake, F.: Springer tracts in modern physics. Vol. 66. Berlin, Heidelberg, New York: Springer 1978

    Google Scholar 

  14. Leggett, A.J., et al.: Rev. Mod. Phys.59, 1 (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Würger, A. Non-linear dynamics of a driven two-level tunnelling defect. Z. Physik B - Condensed Matter 93, 109–118 (1993). https://doi.org/10.1007/BF01308814

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01308814

PACS

Navigation