Entanglement in two-mode continuous variable open quantum systems

Abstract

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the continuous-variable entanglement for a system consisting of two noninteracting modes embedded in a thermal environment. By using the Peres-Simon necessary and sufficient criterion for separability of two-mode Gaussian states, we describe the evolution of entanglement in terms of the covariance matrix for Gaussian input states. For all values of the temperature of the thermal reservoir, an initial separable Gaussian state remains separable for all times. In the case of an entangled initial Gaussian state, entanglement suppression (entanglement sudden death) takes place, for non-zero temperatures of the environment. Only for a zero temperature of the thermal bath the initial entangled state remains entangled for finite times. We also show that, independent of its type - separable or entangled, the initial state evolves asymptotically to an equilibrium state which is always separable.

10 pages, 8 figures; contribution at the 17th Central European Workshop on Quantum Optics (CEWQO 2010), St. Andrews, Great Britain (2010)

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Cited by in corpus (4)

• Entanglement and discord in two-mode Gaussian open quantum systems
• Quantum correlations of two-mode Gaussian systems in a thermal environment
• Reduced dynamics of two oscillators collectively coupled to a thermal bath
• Noisy dynamics of Gaussian entanglement: a transient bound entangled phase before separability