diagonalization and RWA are also shown. We observe a quasi-periodic behavior of the GME dynamics. $E(\rho )$ decays from the initial entangled W state and falls off to a nonzero minimum value, implying no death of the three-qubit entanglement. The GME dynamics obtained by the GRWA are consistent with the numerical results, while the RWA results are qualitatively incorrect for the off-resonance case $\Delta /\omega =0.1$ in Fig. \[dynamics GEM\] (a). The zeroth-order approximation, where only states within the same manifold are included, works well for the off-resonance case $%
\Delta =0.1$ in Fig. \[dynamics GEM\] (a) but not for the on-resonance case in Fig. \[dynamics GEM\] (b). The validity of the GRWA ascribes to the inclusion of the CRW interaction $iJ_{y}F_{1}\left( a^{\dagger }a\right)
(a^{\dagger }-a)$.

The onset of the decay of the multipartite entanglement is due to the information loss of qubits dynamics to the cavity. On the other hand, it is the interaction with the cavity that leads to the entanglement resurrection. The lost information will be transferred back to the qubit subsystem after a finite time, which is associated with the ratio between the coupling strength $g/\omega$ and the level-splitting of qubits $\Delta/\omega$. As the ratio $g/\Delta$ 