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We investigate the concurrence and Bell violation of the standard Wernerstate or Werner-like states in the presence of collective dephasing. It isshown that the standard Werner state and certain kinds of Werner-like statesare robust against the collective dephasing, and some kinds of Werner-likestates is fragile and becomes completely disentangled in a finite-time. Thethreshold time of complete disentanglement of the fragile Werner-like states isgiven. The influence of external driving field on the finite-timedisentanglement of the standard Werner state or Werner-like states isdiscussed. Furthermore, we present a simple method to control the stationarystate entanglement and Bell violation of two qubits. Finally, we show that thetheoretical calculations of fidelity based on the initial Werner stateassumption well agree with previous experimental results.Comment: 7 pages, 6 figures, 1 table, RevTex4, Accepted by EPJ

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Robust and fragile Werner states in the collective dephasing