Hidden $sl(2)$-algebraic structure in Rabi model and its 2-photon and two-mode generalizations

Abstract

It is shown that the (driven) quantum Rabi model and its 2-photon and 2-mode generalizations possess a hidden $sl(2)$-algebraic structure which explains the origin of the quasi-exact solvability of these models. It manifests the first appearance of a hidden algebraic structure in quantum spin-boson systems without $U(1)$ symmetry.

LaTex 14 pages. Version to appear in Annals of Physics

References in corpus (2)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• On the spectrum of a class of quantum models

Cited by in corpus (2)

• Critical spectrum of the anisotropic two-photon quantum Rabi model
• Hidden $sl(2)-$Symmetry of the Generalized Landau-Zener Vibronic Model