Quadratic Lie algebras and quasi-exact solvability of the two-photon Rabi Hamiltonian
arXiv:0903.0253 · doi:10.1063/1.3104062
Abstract
It is proved that the two-photon Rabi Hamiltonian is quasi exactly solvable on the basis of the two different quadratic Lie algebras.
arXiv comment10 pages. Typos corrected
References in corpus (9)
- Exact isolated solutions for the two-photon Rabi Hamiltonian
- On quasi-exactly solvable matrix models
- Quasi Exactly Solvable NxN-Matrix Schroedinger Operators
- Quasi-exactly solvable models based on special functions
- PT-Symmetric, Quasi-Exactly Solvable matrix Hamiltonians
- Quasi exactly solvable matrix models in sl(n)
- QES systems, invariant spaces and polynomials recursions
- Operator ordering in Two-dimensional N=1 supersymmetry with curved manifold
- A novel quasi-exactly solvable spin chain with nearest-neighbors interactions
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- Characterization of a Two-Photon Quantum Battery: Initial Conditions, Stability and Work Extraction
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- Nonlinear two-photon Rabi-Hubbard model: superradiance and photon/photon-pair Bose-Einstein condensate
- Two-photon Rabi-Hubbard and Jaynes-Cummings-Hubbard models: photon pair superradiance, Mott insulator and normal phases
- Level crossings and new exact solutions of the two-photon Rabi model
- Loss of integrability in a system with two-photon interactions