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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 $(ρ_{A})$ 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 $ρ_{11}, ρ_{22}, ρ_{33}$ and $ρ_{44}$ are equivalent to the case of the spontaneous emission. The occupation probability $ρ_{11}$ reaches the case of sudden death, when the detuning parameters $Δ_{2}$ equals zero.