论文标题
半古典近似之外的参数下转换
Parametric down-conversion beyond the semi-classical approximation
论文作者
论文摘要
使用扰动方法，我们研究了参数下转换过程，而无需半古典近似。 Wigner功能性形式主义既结合了自由度的时形，又融合了粒子数量的自由度，用于执行分析。首先，我们在非线性培养基中得出一个下转换过程的演化方程。然后，我们使用扰动方法来求解方程。领先的顺序贡献等同于半古典解决方案。次要领先的顺序贡献提供了一种解决方案，其中包括泵场作为量子场的演变。
Using a perturbative approach, we investigate the parametric down-conversion process without the semi-classical approximation. A Wigner functional formalism, which incorporates both the spatiotemproal degrees of freedom and the particle-number degrees of freedom is used to perform the analysis. First, we derive an evolution equation for the down-conversion process in the nonlinear medium. Then we use the perturbative approach to solve the equation. The leading order contribution is equivalent to the semi-classical solution. The next-to-leading order contribution provides a solution that includes the evolution of the pump field as a quantum field.
