Quadratic Lie algebras and quasi-exact solvability of the two-photon Rabi Hamiltonian

Abstract

It is proved that the two-photon Rabi Hamiltonian is quasi exactly solvable on the basis of the two different quadratic Lie algebras.

10 pages. Typos corrected

References in corpus (4)

• Quasi-exactly solvable models based on special functions
• PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians
• Operator ordering in Two-dimensional N=1 supersymmetry with curved manifold
• A novel quasi-exactly solvable spin chain with nearest-neighbors interactions

Cited by in corpus (7)

• The quantum Rabi model: solution and dynamics
• Ultrafast charging in a two-photon Dicke quantum battery
• Characterization of a Two-Photon Quantum Battery: Initial Conditions, Stability and Work Extraction
• Nonlinear two-photon Rabi-Hubbard model: superradiance and photon/photon-pair Bose-Einstein condensate
• Two-photon Rabi-Stark model
• Level crossings and new exact solutions of the two-photon Rabi model
• Loss of integrability in a system with two-photon interactions