AIP conference proceedings
Evolution of Quantum Entanglement in Open Systems
Аурелиан Исар, Mădălin O. Bunoiu, Iosif Malaescu
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 uncoupled harmonic oscillators interacting with a thermal environment. Using Peres‐Simon necessary sufficient criterion for separability of two‐mode Gaussian states, we show that for some values of diffusion coefficient, dissipation constant and temperature of the environment, the state keeps for all times its initial type: separable or entangled. In other cases, entanglement generation, entanglement sudden death or a periodic collapse revival of entanglement take place.