Analytical Solution of The Two-Qubit Quantum Rabi Model

In this paper, an analytical solution of the two-qubit Rabi model for the general case is presented. Furthermore, a comparison between the information entropies and the Von Neumann entropy $(\rho_{A})$ is given for some special values of the qubit-photon coupling constants in case of the detuning parameters. It is demonstrated that oscillations of the occupation probabilities $\rho_{11}, \rho_{22}, \rho_{33}$ and $\rho_{44}$ are equivalent to the case of the spontaneous emission. The occupation probability $\rho_{11}$ reaches the case of sudden death, when the detuning parameters $\Delta_{2}$ equals zero.
Comment: due to crucial error in the transformation