Abstract
The wave function of an electron in a symmetric double quantum well placed in a strong time-periodic electric field is found, expressions for quasienergy functions are derived, and the dependence of the dipole moment on the average electric field is analyzed for the case where the average field remains constant. In the case of slow monotonic variation of the “constant” component of the electric field, the Schro dinger equation is solved by the WKB method. It is found that the dependence of the dipole moment on the average field is of a clearly nonlinear almost-periodic nature and that in the event of adiabatic monotonic variation of the average field there is a periodic relocation of the electron density from well to well with a small frequency proportional to the rate of variation of the average field.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. A. Gorbatsevich, V. V. Kapaev, and Yu. V. Kopaev, Zh. Éksp. Teor. Fiz. 107, 1320 (1995) [JETP 80, 734 (1995)].
F. Grossmann, T. Dittrich, P. Jung, and P. Hänggi, Phys. Rev. Lett. 67, 516 (1991); Z. Phys. B 84, 315 (1991); F. Grossmann, T. Dittrich, and P. Hänggi, Physica B 175, 293 (1991); F. Grossmann and P. Hänggi, Europhys. Lett. 18, 571 (1992).
J. M. Gomez Llorente and J. Plata, Phys. Rev. A 45, R6958 (1992).
Y. Kayanuma, Phys. Rev. A 50, 843 (1994).
Y. Dakhnovskii and R. Bavli, Phys. Rev. B 48, 11020 (1993).
Y. Dakhnovskii and R. Bavli, Phys. Rev. B 48, 11010 (1993); Y. Dakhnovskii, R. Bavli, and Metiu, Phys. Rev. B 53, 4657 (1996).
F. I. Gauthey, C. H. Keitel, P. L. Knight, and A. Maquet, Phys. Rev. A 55, 615 (1997).
V. A. Burdov, Zh. Éksp. Teor. Fiz. 112, 1209 (1997) [JETP 85,657 (1997)].
K. Leo, J. Shah, E. O. Göbel, Th. C. Damen, S. Schmitt-Rink, W. Schafer, and K. Köhler, Phys. Rev. Lett. 66, 201 (1991).
I. Brener, P. C. M. Planken, M. C. Nuss, L. Pfeiffer, D. E. Leaird, and A. M. Weiner, Appl. Phys. Lett. 63, 2213 (1993).
M. S. C. Luo, S. L. Chuang, P. C. M. Planken, I. Brener, and M. C. Nuss, Phys. Rev. B 48, 11043 (1993).
R. Bavli and H. Metiu, Phys. Rev. A 47, 3299 (1993).
V. A. Burdov, Teoret. Mat. Fiz. 108, 69 (1996) [Theor. Math. Phys. 108, 904 (1996)].
L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-relativistic Theory, 3rd ed., Pergamon Press, Oxford (1977).
J. H. Shirley, Phys. Rev. 138B, 979 (1965); Ya. B. Zel’dovich, Zh. Éksp. Teor. Fiz. 51, 1492 (1966) [Sov. Phys. JETP 24, 1006 (1967)];V. I. Ritus, Zh. Éksp. Teor. Fiz. 51, 1544 (1966) [Sov. Phys. JETP 24, 1041 (1967)].
Y. Dakhnovskii and H. Metiu, Phys. Rev. B 51, 4193 (1995).
R. Aguado and G. Platero, Phys. Rev. B 55, 12860 (1997).
B. J. Keay, S. Zeuner, S. J. Allen Jr., K. D. Maranowski, A. C. Gossard, U. Bhattacharya, and M. J. W. Rodwell, Phys. Rev. Lett. 75, 4102 (1995).
M. E. Crenshaw, Phys. Rev. A 54, 3559 (1996).
Author information
Authors and Affiliations
Additional information
Zh. Éksp. Teor. Fiz. 116, 217–235 (July 1999)
Rights and permissions
About this article
Cite this article
Burdov, V.A. Electron polarization in quantum wells in a strong variable field. J. Exp. Theor. Phys. 89, 119–128 (1999). https://doi.org/10.1134/1.558962
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.558962