Abstract: It is significant that how to improve the property of quantum entanglement dynamics evolution by controlling the happening of entanglement sudden death. Initially entangled atoms interact with Jaynes-Cummings (J-C) model and Nonlinear Jaynes-Cummings (N-J-C) model respectively. Using the method of concurrence we researched the effect of nonlinearity and coupling of atom-field in N-J-C model and the effect of detuning. The purpose is to find how to avoid the happening of entanglement sudden death. It shows that the phenomenon of entanglement sudden death appears in J-C model, however the meaningful result is that entanglement sudden death vanishes in N-J-C model by using the effect of nonlinearity and detuning in a certain condition. And in addition, it can almost make the atoms entanglement degree reach to the original values.

Key words: Quantum optics, controlling of entanglement sudden death, concurrence, J-C model, N-J-C model