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 ${\mathrm{\Delta }}_2$ equals zero.