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研究了一种二能级原子与辐射场的双光子相互作用模型的混沌行为。结果表明,该模型在不加扰动项或调制项时,即存在着混沌演化行为。以正的李亚普诺夫指数和功率谱的宽峰以及强噪声背景为标志,对混沌行为的特性作了讨论,并证明了在旋转波近似下所得到的双光子Jaynes-Cummings模型并不存在混沌演化行为。In this paper, we study the chaotic behavior of a two-photon quantum optical model. The results show that the model can exhibit chaotic behavior without any perturbation or modulation terms. The chaos is characterized by Fourier analysis and the maximal Lyapunov exponent. The properties of the chaotic behavior are also discussed. We proved that the two-photon J-C model, which contains the rotating-wave approximation, cannot exhibit chaotic behavior.
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