Continuous variable entanglement in open quantum dynamics
arXiv:1102.2392 · doi:10.1088/0031-8949/2010/T140/014023
Abstract
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.
10 pages, 4 figures; talk at the 16th Central European Workshop on Quantum Optics (CEWQO 2009), Turku, Finland (2009)
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