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 $\gamma \ge 0.4$; (ii) the synchronism relationship between the fidelity and the concurrence depends on the initial state; (iii) if the initial state is $1\mathrm{/}\sqrt{2}(\mathrm{\mid }01>+\mathrm{\mid }10>)$, the dynamics of entropy is opposite to that of fidelity.