Renormalisation group flow of the Jaynes-Cummings model

• URL: http://arxiv.org/abs/2005.06485v2
• Date: Tue, 1 Sep 2020 09:12:47 GMT
• Title: Renormalisation group flow of the Jaynes-Cummings model
• Authors: Anton Ilderton
• Abstract summary: 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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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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