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arXiv 2005.06485quant-phhep-th
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Jaynes-Cummings模型的重整化群流

Renormalisation group flow of the Jaynes-Cummings model

Anton Ilderton

摘要:

Jaynes-Cummings模型是光-物质相互作用的基石。虽然有限,该模型提供了一个说明性的例子,在微扰理论的重整化。然而,我们发现,精确的重正化揭示了丰富的非微扰结构,该模型提供了一个物理的例子,一个理论与混沌耦合轨迹和多值β函数。我们还构建了一个确切的威尔逊式重整化群流的有效散射矩阵,并显示如何多值功能出现在流中。我们的研究结果揭示了非微扰方面的重整化和Jaynes-Cummings模型本身的结构。

英文摘要:

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.

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