中国物理B ›› 2002, Vol. 11 ›› Issue (12): 1240-1244.doi: 10.1088/1009-1963/11/12/304

• GENERAL • 上一篇    下一篇

Invariant theory and exact solutions of the time-dependent supersymmetric two-level multiphoton Jaynes－Cummings model

沈建其, 朱红毅, 符建   

  1. 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
  • 收稿日期:2002-03-07 修回日期:2002-06-26 出版日期:2005-06-12 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 19775040 and 30000034).

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)   

  1. 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
  • Received:2002-03-07 Revised:2002-06-26 Online:2005-06-12 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 19775040 and 30000034).

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摘要： 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.

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.

Key words: supersymmetric Jaynes－Cummings model, exact solutions, invariant theory, geometric phase factor

中图分类号:  (Quantum optics)

  • 42.50.-p
32.80.-t (Photoionization and excitation) 03.65.-w (Quantum mechanics)