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. Numerical simulations show the accuracy of the analytic expressions. These results are applicable to a large variety of non--Markovian environments. The case of non--resonant oscillators is also numerically investigated.

4 pages, 5 figures

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Cited by in corpus (10)

• Sudden death and sudden birth of entanglement in common structured reservoirs
• Cavity optomechanical coupling assisted by an atomic gas
• Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
• Disentanglement of two harmonic oscillators in relativistic motion
• Manipulating sudden death of entanglement of two-qubit X-states in thermal reservoirs
• Photon exchange and correlations transfer in atom-atom entanglement dynamics
• Dynamics of Collective Decoherence and Thermalization
• Non-Markovian Dynamics and Entanglement in Quantum Brownian Motion
• The Dynamics of the Bounds of Squared Concurrence
• Reservoir cross-over in entanglement dynamics