Invariant theory and exact solutions of the time-dependent supersymmetric two-level multiphoton Jaynes－Cummings model
Shen Jian-Qi (沈建其), Zhu Hong-Yi (朱红毅), Fu Jian (符建)
State Key Laboratory of Modern Optical Instrumentation, Center for Optical and Electromagnetic Research, College of Information Science and Engineering, Zhejiang University, Hangzhou 310027, China; Zhejiang Institute of Modern Physics and Department of Physics of Zhejiang University, Hangzhou 310027, China
Abstract On the basis of the fact that the two-level multiphoton Jaynes－Cummings (TLMJC) model possesses a supersymmetric structure, an invariant is constructed in terms of the supersymmetric generators by working in the sub-Hilbert-space corresponding to a particular eigenvalue of the conserved supersymmetric generators (the time-independent invariant). In this paper, we investigate the invariant-related unitary transformation approach to exact solutions of the time-dependent TLMJC model.
Received: 07 March 2002
Revised: 26 June 2002
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 19775040 and 30000034).
Cite this article:
Shen Jian-Qi (沈建其), Zhu Hong-Yi (朱红毅), Fu Jian (符建) Invariant theory and exact solutions of the time-dependent supersymmetric two-level multiphoton Jaynes－Cummings model 2002 Chinese Physics 11 1240
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