Skip to main content
Log in

On comparison of classical and quantum kicked tops with dissipation

  • Original Contributions
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We analyze the influence of dissipation on dynamics of a quantum spin system. Properties of spectrum of the quantum propagator are discussed and it is shown how they imply strong damping of quantum mean values. Relations between an asymptotic density matrix and an invariant measure on attractor are discussed.

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. Grobe, R., Haake, F., Sommers, H.-J.: Phys. Rev. Lett.61, 1899 (1988)

    Google Scholar 

  2. Berry, M.V., Tabor, M.: Proc. R. Soc. London Ser. A356, 375 (1977)

    Google Scholar 

  3. Haake, F., Kuś, M., Sharf, R.: Z. Phys. B — Condensed Matter65, 381 (1987)

    Google Scholar 

  4. Grobe, R., Haake, F.: Z. Phys. B — Condensed Matter68, 503 (1987)

    Google Scholar 

  5. Graham, R.: Europhys. Lett. A99, 131 (1983)

    Google Scholar 

  6. Dittrich, T., Graham, R.: Phys. Scr.40, 409 (1989)

    Google Scholar 

  7. Radcliffe, J.M.: J. Phys. A4, 313 (1971)

    Google Scholar 

  8. Perelomov, A.M.: Commun. Math. Phys.26, 222 (1972)

    Google Scholar 

  9. Hepp, K., Lieb, E.H.: Helv. Phys. Acta46, 573 (1973)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pepłowski, P., Dembiński, S.T. On comparison of classical and quantum kicked tops with dissipation. Z. Physik B - Condensed Matter 83, 453–457 (1991). https://doi.org/10.1007/BF01313417

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01313417

Keywords

Navigation