Quantum Entanglement in Open Systems
Аурелиан Исар, L. Trache, Sabin Stoica · AIP conference proceedings · 2008
In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, the master equation for two independent harmonic oscillators interacting with an environment is solved in the asymptotic long‐time regime. Using the Peres–Simon necessary and sufficient condition for separability of two‐mode Gaussian states, we show that the two non‐interacting systems become asymptotically entangled for certain environments, so that in the long‐time regime they manifest non‐local quantum correlations. We calculate also the logarithmic negativity characterizing the degree of entanglement of the asymptotic state.