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.
Similar content being viewed by others
References
Rabi, I.I.: Phys. Rev.51, 652 (1937)
Bloch, F.: Phys. Rev.70, 460 (1946)
Klauder, J.R., Anderson, P.W.: Phys. Rev.125, 912 (1962)
Wong, N.C., Kano, S.S., Brewer, R.C.: Phys. Rev. A21, 260 (1980)
Carmichael, H.J., Walls, D.F.: J. Phys. B9, 1199 (1976)
Black, J.L., Halperin, B.I.: Phys. Rev. B16, 2879 (1977)
Hunklinger, S., Arnold, W., Steins, S., Nava, R., Dransfeld, K.: Phys. Lett. A42, 253 (1972)
Von Schickfus, M., Hunklinger, S.: Phys. Lett. A64, 144 (1977);
Hunklinger, S., Arnold, W.: Physical acoustic. Vol. 12, Thuyston, R.N., Mason, W.P. (eds.), p. 155. New York: Academic Press 1976
Enss, C.: Ph. D. Thesis, Heidelberg 1991 (unpublished)
Galperin, Yu.M., Gurvich, V.L., Parshin, D.A.: Phys. Rev. B37 10339 (1988)
Brenig, W.: Statistical theory of heat: non-equilibrium phenomena. Berlin, Heidelberg, New York: Springer 1989
Haake, F.: Springer tracts in modern physics. Vol. 66. Berlin, Heidelberg, New York: Springer 1978
Leggett, A.J., et al.: Rev. Mod. Phys.59, 1 (1987)