Abstract: The evolutional characters of the atomic entanglement and the optical-cavity entanglement were mainly investigated in the classical strongly driven cavity QED model, and two atoms are off-resonantly coupled with their cavity fields, respectively. By fixing the parameters of one atom and its coupled optical cavity field, and modifying the detuning between the other atom and its optical cavity, the occurrence area of the atomic entanglement sudden death was discussed, and the conditions on the emergence of the entangled coherent states between two optical cavity fields was acquired.

Key words: quantum optics, quantum entanglement, negative eigenvalues of the partial transposition, entanglement sudden death