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Integrability versus exact solvability in the quantum Rabi and Dicke models

Batchelor, Murray; Zhou, H-Q


The Rabi model describes the simplest interaction between light and matter via a two-level quantum system interacting with a bosonic field. We demonstrate that the fully quantized version of the Rabi model is integrable in the Yang-Baxter sense at two parameter values. The model is argued to be not Yang-Baxter integrable in general. This is in contrast to the claim that the quantum Rabi model is integrable based on a phenomenological criterion of quantum integrability not presupposing the...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Physical Review A: Atomic, Molecular and Optical Physics
DOI: 10.1103/PhysRevA.91.053808
Access Rights: Open Access


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