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.
DOI
10.1103/PhysRevLett.125.130402
Publication Date
2020-09-25
Publication Title
Physical Review Letters
Publisher
American Physical Society
ISSN
0031-9007
Embargo Period
2024-11-22
Additional Links
http://arxiv.org/abs/2005.06485v2
Keywords
hep-th, quant-ph, quant-ph
Recommended Citation
Ilderton, A. (2020) 'Renormalisation group flow of the Jaynes-Cummings model', Physical Review Letters, . American Physical Society: Available at: https://doi.org/10.1103/PhysRevLett.125.130402
Comments
6 pages, 5 pdf figures. Version 2: expanded discussion of several points, typos fixed. To appear in Phys.Rev.Lett