Physics – Quantum Physics
Scientific paper
2011-02-11
Physica Scripta, Topical Issue T140, 014023 (2010)
Physics
Quantum Physics
10 pages, 4 figures; talk at the 16th Central European Workshop on Quantum Optics (CEWQO 2009), Turku, Finland (2009)
Scientific paper
In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the dynamics of entanglement for a system consisting of two uncoupled harmonic oscillators interacting with a thermal environment. 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 entanglement of the quantum state.
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