In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of continuous variable quantum entanglement and quantum discord for a system consisting of two non-interacting non-resonant bosonic modes embedded in a thermal environment. We study the time evolution of logarithmic negativity, which characterizes the degree of entanglement, and show that in the case of an entangled initial squeezed thermal state, entanglement suppression takes place for all temperatures of the environment, including zero temperature. We analyze the time evolution of the Gaussian quantum discord, which is a measure of all quantum correlations in the bipartite state, including entanglement, and show that discord decays asymptotically in time under the effect of the thermal bath. We describe also the time evolution of classical correlations.
Using the theory of open systems based on completely positive quantum dynamical semigroups, we describe
the dynamics of entanglement for a system consisting of two uncoupled harmonic oscillators interacting with a
thermal reservoir. Using 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 a Gaussian input state.
For some values of the temperature of environment, the state keeps for all times its initial type - separable
or entangled. In other cases, entanglement generation, entanglement sudden death or a repeated collapse and
revival of entanglement take place. We analyze also the time evolution of the logarithmic negativity, which
characterizes the degree of quantum entanglement.
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