We investigate the entanglement dynamics of two two-level atoms interacting with a quantized cavity field, considering the level shifts produced by the Stark effect. We perform comparisons of the entanglement evolution of this system when the cavity is filled with a Kerr-like medium. The presence of entanglement sudden death and sudden birth using extended Werner-like states is observed.
Entanglement is guaranteed to survive and can be easily adapted to allow for periodic behavior. The similar dynamic relations between both the Kerr-like medium and the Stark-shift models are shown.