The Exact Solutions To The Qubit Interacting With Two-mode Or Two-photons In The Bargmann Representation

In this Master thesis, the energy spectrum equation of the 2-mode and the 2-photon Rabi models are derived strictly for the first time in the Segal-Bargmann Space by using the Fulton-Gouterman transformation and the compression transformation under the su(1,1) Lie algebra representation, so the natural extensions of the Rabi model with single photon of D. Braakto the 2-mode and 2-photon case are found successfully.