含时超对称二能级三光子Jaynes-Cummings模型的精确解
An approach to exact solutions of the time-dependent supersymmetric two-level three-photon Jaynes-Cummings model
摘要：
利用二能级多光子Jaynes-Cummings模型中超对称结构的性质，在超对称生成元的特定本征值所对应的子Hilbert空间中，构造了一个超对称生成元不变量.利用与不变量相关的幺正变换公式，得到了描述含时超对称二能级三光子Jaynes-Cummings模型（TLTJCM）的含时薛定谔方程的精确解.文中还讨论了绝热近似下的情形。关键词：超对称Jaynes-Cummings模型;精确解;不变量理论;几何相因子;绝热近似
英文摘要：
By utilizing the property of the supersymmetric structure in the two-level multiphoton Jaynes-Cummings model, 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. We obtain the exact solutions of the time-dependent Schrödinger equation which describes the time-dependent supersymmetric two-level three-photon Jaynes-Cummings model (TLTJCM) by using the invariant-related unitary transformation formulation. The case under the adiabatic approximation is also discussed. Keywords: Supersymmetric Jaynes-Cummings model; exact solutions; invariant theory; geometric phase factor; adiabatic approximation
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