论文标题
Jaynes-Cummings模型的重量法化组流量
Renormalisation group flow of the Jaynes-Cummings model
论文作者
论文摘要
Jaynes-Cummings模型是轻度相互作用的基石。在有限的同时,该模型在扰动理论中提供了重新分析的说明性示例。但是,我们表明,精确的重态化揭示了丰富的非扰动结构,并且该模型提供了具有混乱耦合轨迹和多价值β-功能的理论的物理示例。我们还为有效的散射矩阵构造了精确的威尔逊式重量级化群,并显示了流动中的多值特征。我们的结果揭示了重量范围化的非扰动方面以及Jaynes-Cummings模型本身的结构。
The Jaynes-Cummings model is a cornerstone of light-matter interactions. While finite, the model provides an illustrative example of renormalisation in perturbation theory. We show, however, that exact renormalisation reveals a rich non-perturbative structure, and that the model provides a physical example of a theory with a chaotic coupling trajectory and multi-valued beta-function. We also construct an exact Wilsonian-like renormalisation group flow for the effective scattering matrix, and show how multi-valued features arise in the flow. Our results shed light on non-perturbative aspects of renormalisation and on the structure of the Jaynes-Cummings model itself.