We consider two independent bosonic oscillators immersed in a common bath,
evolving in time with a completely positive, markovian, quasi-free (Gaussian)
reduced dynamics. We show that an initially separated Gaussian state can become
entangled as a result of a purely noisy mechanism. In certain cases, the
dissipative dynamics allows the persistence of these bath induced quantum
correlations even in the asymptotic equilibrium state.Comment: 14 pages, plain-Te