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

References in corpus (18)

• A computable measure of entanglement
• Finite-Time Disentanglement via Spontaneous Emission
• Extremal entanglement and mixedness in continuous variable systems
• Creation of Entanglement by Interaction with a Common Heat Bath
• Environment Induced Entanglement in Markovian Dissipative Dynamics
• Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
• Disentanglement and Decoherence by Open System Dynamics
• Pairwise Concurrence Dynamics: A Four-Qubit Model
• Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
• Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
• Entanglement and purity of two-mode Gaussian states in noisy channels
• Non-Markovian entanglement dynamics of quantum continuous variable systems in thermal environments
• Entanglement oscillations in non-Markovian quantum channels
• Entangling oscillators through environment noise
• Quantum and classical correlations in quantum Brownian motion
• Environment-induced two-mode entanglement in quantum Brownian motion
• Entanglement between qubits induced by a common environment with a gap
• Evolution of twin-beam in active optical media

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