Nonlinear Excitations in a Matter-Photon System
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概要
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A quantum theory of nonlinear excitations in a matter-photon system is developed by generalizing the conventional two-level-atom model of a matter in several directions, on the assumption that the overlapping of atomic wave functions on different atomic sites is negligible. The model matter Hamiltonian is shown to be expressible in a generalized form of the Heisenberg model Hamiltonian with anisotropic long-range exchange interactions with spin operators replaced by quasi-Pauli operators. From approximate formal solutions of a set of nonlinear equations satisfied by the quasi-Pauli operators and photon operators, brief discussion is given on nonlinear Frenkel excitons and nonlinear exciton-photon coupled modes. An attempt is made to formulate a theory of higher-order nonlinear physical properties of the matter-photon system by including interactions of magnetic as well as electric dipoles of atoms with photons. A brief discussion is also given on the coherence properties of the matter-Photon system which are characterized by the simultaneous existence of a photon coherent state and an atomic-polarization coherent state.
- 理論物理学刊行会の論文
- 1975-12-25
著者
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Takeno Shozo
Department Of Physics Kyoto Technical University
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Takeno Shozo
Department Of General Education Osaka Institute Of Technology
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