Abstract
The Rabi model is a paradigm for interacting quantum systems. It couples a bosonic mode to the smallest possible quantum model, a two-level system. I present the analytical solution which allows us to consider the question of integrability for quantum systems that do not possess a classical limit. A criterion for quantum integrability is proposed which shows that the Rabi model is integrable due to the presence of a discrete symmetry. Moreover, I introduce a generalization with no symmetries; the generalized Rabi model is the first example of a nonintegrable but exactly solvable system.
- Received 22 April 2011
DOI:https://doi.org/10.1103/PhysRevLett.107.100401
© 2011 American Physical Society
Viewpoint
The dialogue between quantum light and matter
Published 29 August 2011
Although the quantum Rabi model is the simplest model describing the coupling of quantum light and matter, only now has an analytical solution been found.
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