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.

arXiv commentLaTex 14 pages. Version to appear in Annals of Physics

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Cited by in corpus (5)

• Generalized quantum Rabi model with both one- and two-photon terms: A concise analytical study
• The mixed quantum Rabi model
• Critical spectrum of the anisotropic two-photon quantum Rabi model
• A unified treatment of polynomial sectors and constraint polynomials of the Rabi models
• Hidden $sl(2)-$Symmetry of the Generalized Landau-Zener Vibronic Model