Generation of multipartite entangled states by cavity QED

We propose the methods of generating multipartite entanglement byconsidering the interaction of a system of $N$ two-level atoms in $M$cavities of high quality factor with a strong classical drivingfield. It is shown that, with the cavity detuning, the applieddriving field detuning and vacuum Rabi coupling, we can produce anentangled coherent state in two single-mode cavities and generate theentangled coherent cluster states in two bimodal vacuum cavities.Tuning these parameters also allows us to acquire theanti-Jaynes--Cummings (AJC) interaction, with which we can generatethe maximally two-photon entangled states, and the two-atom and thetwo-photon entangled cluster states.