Steady atomic entanglement in cavity QED without state initialization

We present a scheme for realizing a steady entanglement state between two trapped atoms, without requiring the initialization of atom-cavity system nor fine time-controlling of evolution dynamics. We show that high-fidelity entanglement of atomic state can be obtained in a period of time equal to a few times the inverse of atomic's spontaneous decay rate. The robustness against cavity decay κ and cavity thermal field nT has also been examined.