We study the exact entanglement dynamics of two qubits in a common structured reservoir. We demonstrate that for certain classes of entangled states, entanglement sudden death occurs, while for certain initially factorized states, entanglement sudden birth takes place. The backaction of the non-Markovian reservoir is responsible for revivals of entanglement after sudden death has occurred, and also for periods of disentanglement following entanglement sudden birth.
Mazzola, L., Maniscalco, S., Piilo, J., Suominen, K-A., & Garraway, B. M. (2009). Sudden death and sudden birth of entanglement in common structured reservoirs. Physical Review A, 79(4), . https://doi.org/10.1103/PhysRevA.79.042302