Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1304..449i&link_type=abstract
EXOTIC NUCLEI AND NUCLEAR/PARTICLE ASTROPHYSICS (III): From Nuclei to Stars. AIP Conference Proceedings, Volume 1304, pp. 449-4
Astronomy and Astrophysics
Astrophysics
Quantum Mechanics, Harmonic Oscillators, Information Analysis, Oscillators, Matrix Algebra, Optical Parametric Oscillators And Amplifiers, Entanglement And Quantum Nonlocality, Oscillators, Pulse Generators, And Function Generators, Matrix Theory
Scientific paper
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 noninteracting modes embedded in a thermal environment. By using the Peres-Simon necessary and sufficient criterion for separability of two-mode Gaussian states, we describe the evolution of entanglement for Gaussian input states. For all values of the temperature of the thermal reservoir, an initial separable Gaussian state remains separable for all times. In the case of an entangled initial Gaussian state, entanglement suppression (entanglement sudden death) takes place, for non-zero temperatures of the environment. Only for a zero temperature the initial entangled state remains entangled for finite times. We also show that, independent of its type-separable or entangled, the initial state evolves asymptotically to an equilibrium state which is always separable.
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