Quadratic Lie algebras and quasi-exact solvability of the two-photon Rabi Hamiltonian
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It is proved that the two-photon Rabi Hamiltonian is quasi exactly solvable on the basis of the two different quadratic Lie algebras.
💡 Research Summary
The paper investigates the quasi‑exact solvability (QES) of the two‑photon Rabi Hamiltonian, a model that describes the interaction between a two‑level system and a quantized bosonic mode via the simultaneous creation or annihilation of two photons. The Hamiltonian is written as
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