The present manuscript studies the temporal behavior of quantum entanglement and nonclassical properties for a superconducting-qubit ( $$\hbox {SC}_{ \text {qubit}}$$ )- field system in the framework of deformed f-oscillator formalism. We introduce the nonlinear Jaynes-Cummings model by using the deformation of the mode field operators. Such a generalization of the Jaynes Cummings model that considers the interaction of a $$\hbox {SC}_{\text {qubit}}$$ with an electromagnetic field in the presence of a nonlinear Kerr-like medium and energy dissipation. We examine the effect of the detuning and decay parameters on the degree of the quantum entanglement, population inversion and field photon statistics. Finally, the relationship among quantum quantifiers is explored according to the optimal choice of the main parameters of the physical model.

中文翻译：

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能量耗散效应下超导量子位和非线性场的相互作用：纠缠和非经典性质

本手稿研究了超导量子比特 ( $$\hbox {SC}_{ \text {qubit}}$$ )-场系统在变形 f 振荡器形式主义框架中的量子纠缠的时间行为和非经典特性。我们通过使用模场算子的变形来引入非线性 Jaynes-Cummings 模型。Jaynes Cummings 模型的这种概括考虑了 $$\hbox {SC}_{\text {qubit}}$$ 与非线性类克尔介质和能量耗散的电磁场的相互作用。我们研究了失谐和衰减参数对量子纠缠度、粒子数反转和场光子统计的影响。最后，根据物理模型主要参数的最优选择，探索量子量词之间的关系。