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首页> 外文期刊>Optical and quantum electronics >Dynamics of entropy and quantum statistical properties of the field in the interaction of a single two-level atom with a superposition of nonlinear coherent states in the framework of f-deformed Jaynes-Cummings model
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Dynamics of entropy and quantum statistical properties of the field in the interaction of a single two-level atom with a superposition of nonlinear coherent states in the framework of f-deformed Jaynes-Cummings model

机译：在f形变的Jaynes-Cummings模型框架中单个二能级原子与非线性相干态叠加的相互作用中场的熵和量子统计性质的动力学

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摘要

Based on the f-deformed Jaynes-Cummings model, we investigate the interaction of a single two-level atom with a general superposition of nonlinear coherent states (NCSs) with intensity-dependent coupling in a Kerr-like medium. We propose a solution of this model based on the density operator method. As an especial case the interaction of the atom with an even nonlinear coherent state (ENCS) is studied. By considering the effect of the field intensity and the detuning parameter, we compare such a system with the corresponding linear system which has been already studied in Vidiella-Baranco et al. J. Mod. Opt. 39:1441, (1992) and Gerry and Hach Phys. Lett. A 179:1, (1993). The atomic inversion behaviors of the linear and nonlinear interactions are found to be completely different. However, the most significant features of these interactions is that the field in nonlinear system exhibits sub-Poissonian statistics while the linear one do not show such a nonclassical property. In order to evaluate the degree of entanglement between the atom and the field, we investigate the dynamics of the entanglement by studying the field entropy in both linear and nonlinear cases. Finally studying the field evolutions using the Q-function has shown that the initial fields develop into multiple Schrodinger cat-like states. Especially we found that for the exact resonant case at successive collapses of atomic inversion, the initial field components split into a superposition of the four-component NCSs π/2 out of phase which may be potentially considered as the source of the new notion of "four-photon nonlinear coherent states".
机译：基于f形变的Jaynes-Cummings模型，我们研究了单个二能级原子与非线性相干态（NCSs）的一般叠加以及强度依赖耦合在类Kerr介质中的相互作用。我们基于密度算子方法提出了该模型的解决方案。作为一种特殊情况，研究了原子与偶数非线性相干态（ENCS）的相互作用。考虑到场强和失谐参数的影响，我们将这种系统与相应的线性系统进行了比较，该系统已经在Vidiella-Baranco等人中进行了研究。 J.莫德选择。 39：1441（1992）和Gerry and Hach Phys。来吧179：1，（1993）。发现线性和非线性相互作用的原子转化行为是完全不同的。但是，这些相互作用的最显着特征是非线性系统中的场表现出亚泊松统计量，而线性系统中的场则没有表现出这种非经典性质。为了评估原子与场之间的纠缠程度，我们通过研究线性和非线性情况下的场熵来研究纠缠的动力学。最终，使用Q函数研究场演化表明，初始场发展为多个薛定Sch猫状状态。特别是，我们发现，对于原子反转连续崩溃时的精确共振情况，初始场分量分裂为四分量NCSπ/ 2的叠加，这有可能被认为是新概念“四光子非线性相干态”。

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