Talk on: Dynamics of the entanglement between two oscillators in the same environment
 
Abstract: We provide a complete characterization of the evolution of entanglement between two oscillators coupled to a common environment.

For initial Gaussian states we identify three phases with different qualitative long time behavior: There is a phase where entanglement undergoes a sudden death (SD). Another phase (SDR) is characterized by an infinite sequence of events of sudden death and revival of entanglement. In the third phase (NSD) there is no sudden death of entanglement, which persist for long time. The phase diagram is described and analytic expressions for the boundary between phases are obtained. These results are applicable to a large variety of non--Markovian environments.