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Renormalization Group Flow of the Jaynes-Cummings Model.
1Centre for Mathematical Sciences, University of Plymouth, Plymouth, PL4 8AA, United Kingdom.
Physical Review Letters
|October 9, 2020
Summary
Exact renormalization of the Jaynes-Cummings model reveals complex nonperturbative structures. This study uncovers a chaotic coupling trajectory and multivalued beta function, offering new insights into light-matter interactions.
Area of Science:
- Quantum optics
- Theoretical physics
- Condensed matter physics
Background:
- The Jaynes-Cummings model is fundamental to understanding light-matter interactions.
- It serves as a key example for renormalization in perturbation theory.
Purpose of the Study:
- To explore the nonperturbative structure of the Jaynes-Cummings model through exact renormalization.
- To investigate the model as a physical example of theories with chaotic coupling and multivalued beta functions.
- To develop an exact renormalization group flow for the effective scattering matrix.
Main Methods:
- Exact renormalization techniques applied to the Jaynes-Cummings model.
- Construction of a Wilsonian-like renormalization group flow.
- Analysis of chaotic coupling trajectories and multivalued beta functions.
Main Results:
- Exact renormalization reveals a rich nonperturbative structure beyond perturbation theory.
- The Jaynes-Cummings model exhibits a chaotic coupling trajectory and a multivalued beta function.
- Multivalued features in the renormalization group flow were identified.
Conclusions:
- The study illuminates nonperturbative aspects of renormalization in quantum field theories.
- Provides a deeper understanding of the complex structure inherent in the Jaynes-Cummings model.
- Highlights the importance of exact methods for uncovering hidden physics.
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