Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-09-15
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, version to appear in Phys. Rev. D
Scientific paper
We investigate the entanglement of a quantum field in the expanding universe. By introducing a bipartite system using a coarse-grained scalar field, we apply the separability criterion based on the partial transpose operation and numerically calculate the bipartite entanglement between separate spatial regions. We find that the initial entangled state becomes separable or dis-entangled after the spatial separation of two points exceed the Hubble horizon. This provides the necessary condition for the appearance of classicality of the quantum fluctuation. We also investigate the condition of classicality that the quantum field can be treated as the classical stochastic variables.
Nambu Yasusada
Ohsumi Yuji
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