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The unresonant procedure of the interaction of atoms with cavity-field by intensity-dependent coupling was analyzed in the union system consisting of multi-atom and multi-cavity using of the complete quantum theory.The results show that through controlling the time of cavity-field interacting with atoms and measuring the atomic states just being out of cavity,the quantum entangled information can be completely exchange between the atomic maximal entangled state and the maximal like-odd-even coherent entangled state.The quantum information can be completely swapping transmit on account of properly confining the detuning value.The process above mentioned display that the evolution is opposite each other in the close system.