Entanglement of Quantum Fluctuations in the Inflationary Universe

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dc.creatorNambu, Yasusada
dc.date2008-05-10
dc.date2008-07-15
dc.date.accessioned2026-07-07T11:50:41Z
dc.date.available2026-07-07T11:50:41Z
dc.descriptionWe investigate quantum entanglement of a scalar field in the inflationary universe. By introducing a bipartite system using a lattice model of 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 when the size of the spatial regions exceed the Hubble horizon. This is necessary condition for the appearance of classicality of the quantum fluctuation. We further investigate the condition for the appearance of the classical distribution function and find that the condition is given by the inequality for the symplectic eigenvalue of the covariance matrix of the scalar field.
dc.description19 pages, 5 figures, final version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0805.1471
dc.identifierhttp://arxiv.org/abs/0805.1471
dc.identifierPhys.Rev.D78:044023,2008
dc.identifierdoi:10.1103/PhysRevD.78.044023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203638
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectQuantum Physics
dc.titleEntanglement of Quantum Fluctuations in the Inflationary Universe
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