经典引力作用下原子与光场非线性相互作用的动力学行为：f-形变方法
Dynamical Behaviours of the Nonlinear Atom-Field Interaction in the Presence of Classical Gravity: f-Deformation Approach
摘要：
本文在f-形变Jaynes-Cummings模型的框架下研究了经典引力场对原子-场非线性相互作用动力学行为的影响。为此，我们首先引入一组新的原子算符，它们服从一个f-变形的su（2）代数结构，从而导出所考虑系统的有效哈密顿量。然后通过求解相互作用图中的薛定谔方程，考虑原子和辐射子系统的某些初始量子态，分析了引力对原子布居数反转、原子偶极压缩、原子动量扩散、光子计数统计以及辐射场的变形正交压缩的时间演化的影响。
英文摘要：
In this paper, we investigate the effects of a classical gravitational field on the dynamical behaviour of nonlinear atom-field interaction within the framework of the f-deformed Jaynes-Cummings model. For this purpose, we first introduce a set of new atomic operators obeying an f-deformed su(2) algebraic structure to derive an effective Hamiltonian for the system under consideration. Then by solving the Schrodinger equation in the interaction picture and considering certain initial quantum states for the atomic and radiation subsystems, we analyze the influence of gravity on the temporal evolution of the atomic population inversion, atomic dipole squeezing, atomic momentum diffusion, photon counting statistics, and deformed quadrature squeezing of the radiation field.
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