Exact analysis of the spectral properties of the anisotropic two-bosons Rabi model

Understand

We introduce the anisotropic two-photon Rabi model in which the rotating and counter rotating terms enters along with two different coupling constants.

• Eigenvalues and eigenvectors are studied with exact means.
• We employ a variation of the Braak method based on Bogolubov rotation of the underlying $su(1,1)$ Lie algebra.
• Accordingly, the spectrum is provided by the analytical properties of a suitable meromorphic function.