Entanglement of Quantum Fluctuations in the Inflationary Universe

Abstract

We 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.

19 pages, 5 figures, final version to appear in Phys. Rev. D

References in corpus (5)

• Pointer states for primordial fluctuations in inflationary cosmology
• Determination of continuous variable entanglement by purity measurements
• On the Decoherence of Primordial Fluctuations During Inflation
• Entanglement between Collective Operators in a Linear Harmonic Chain
• Decoherence due to the Horizon after Inflation

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