Non-local dynamics of Bell states in separate cavities

We present non-local dynamics of Bell states in separate cavities. It is demonstrated that (i) the entanglement damping speed will saturate when the cavity leakage rate γ⩾0.4γ⩾0.4; (ii) the synchronism relationship between the fidelity and the concurrence depends on the initial state; (iii) if the initial state is 1/2(|01〉+|10〉), the dynamics of entropy is opposite to that of fidelity.