Abstract
Starting from a Hamiltonian which describes the interaction of the many-electron system of a crystal with the quantized light field, we derive a set of nonlinear wave-equations for the field and exciton amplitude and the exciton occupation number. Our treatment comprises both Frenkel and Wannier excitons. Our equations form a sound basis for treating both pulse-propagation phenomena and giant polaritons in crystals.
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For review articles see: Haken, H.: Handbuch der Physik XXV/2c, p. 224–227. Berlin-Heidelberg-New York: Springer 1970.
For review articles see: Courtens, E.: In: Laser Handbook, part E, eds. Arecchi, F. T., Schulz-Dubois, E. O. Amsterdam: North Holland Publ. Co. 1972.
McCall, S. L., Hahn, E. L.: Phys. Rev.183, 457 (1969).
Bullough, R. K., Ahmad, F.: Phys. Rev. Letters27, 330 (1971).
Gibbs, H. M., Slusher, R. E.: Phys. Rev. Lett.24, 638 (1970).
Slusher, R. E., Gibbs, H. M.: Phys. Rev. A5, 1634 (1972).
Lamb, G. L., Jr.: Phys. Lett.25 A, 181 (1967).
Lamb, G. L., Jr.: Rev. Mod. Phys.43, 99 (1971).
Hopf, F. A., Lamb, G. L., Rhodes, C. K., Scully, M. O.: Phys. Rev. A3, 758 (1971).
Gibbs, H. M., Slusher, R. E.: Phys. Rev. A6, 2326 (1972).
Abella, I. D., Kurnit, N. A., Hartmann, S. R.: Phys. Rev.141, 391 (1966).
Dicke, R. H.: Phys. Rev.93, 99 (1954).
Haken, E., Haken, H.: Z. Physik176, 421 (1964).
Poluektov, I. A., Popov, Yu. M.: JETP Letters9, 336 (1969).
Schenzle, A., Haken, H.: Optics Commun.6, 96 (1972).
Haken, H., Schenzle, A.: Z. Physik258, 231 (1973).
Haken, H., Schenzle, A.: Phys. Lett.41 A, 405 (1972).
Pekar, S. J.: Soviet Phys. JETP6, 785 (1958).
Hopfield, J. J.: Phys. Rev.112, 1555 (1958).
Bullough, R. K., Thompson, B. V.: J. Phys. C.: Solid St. Phys.3, 1780 (1971).
Agranovich, V. M., Ginzburg, V. L.: Monographs and texts in physics and astronomy, Vol. XVIII. New York: Interscience Publ. 1966.
See e.g. Hershkowitz, N., Romesser, T., Montgomery, D.: Phys. Rev. Letters29, 1586 (1972), where many further references are given.
Caudrey, P. J., Gibbon, J. D., Eilbeck, J. C., Bullough, R. K.: Phys. Rev. Letters30, 237 (1973), where further references are given.
See e.g. Haken, H.: Quantenfeldtheorie des Festkörpers. Stuttgart: Teubner 1972.
Haken, H., Sauermann, H.: Z. Physik173, 261 (1963);176, 47 (1963) see also 1 a.
Nikitine, S.: Phil, Mag.4, 1 (1959).
Keldysh, L. V., Khoslov, A. N.: Soviet Phys. JETP27, 3 (1968).
Hanamura, E.: J. Phys. Soc. Japan29, 1 (1970).
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The author wishes to thank Prof. S. Nikitine, Strasbourg, for stimulating discussions and Mr. A. Schenzle for his critical checking of the calculations and useful comments.
The present paper is one of the first being published in the framework of a contract between the C.N.R.S., Paris, the University Louis Pasteur of Strasbourg and the University of Stuttgart providing the cooperation between the Laboratoire de Spectroscopie et d'Optique du Corps Solide, Strasbourg, and the Institut für Theoretische Physik der Universität Stuttgart, on excitons at high density and polaritons. The author expresses his profound gratitude to Prof. Curien, Directeur General du C.N.R.S., Prof. Chabbal, Directeur du C.N.R.S., Prof. Ourisson, président de l'Université Louis Pasteur, Prof. Hunken, Rektor der Universität Stuttgart and Prof. Nikitine, Directeur du Laboratoire de Spectroscopie et d'Optique du Corps Solide, Strasbourg, for their initiative and tireless support of this project.
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Haken, H. Resonant interaction between excitons and intense coherent light. Z. Physik 262, 119–134 (1973). https://doi.org/10.1007/BF01399722
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DOI: https://doi.org/10.1007/BF01399722