Impact of quantum entanglement on spectrum of cosmological fluctuations

Abstract

We investigate the effect of entanglement between two causally separated open charts in de Sitter space on the spectrum of vacuum fluctuations. We consider a free massive scalar field, and construct the reduced density matrix by tracing out the vacuum state for one of the open charts, as recently derived by Maldacena and Pimentel. We formulate the mean-square vacuum fluctuations by using the reduced density matrix and show that the scale invariant spectrum of massless scalar field is realized on small scales. On the other hand, we find that the quantum entanglement affects the shape of the spectrum on large scales comparable to or greater than the curvature radius.

21 pages, 5 figures. A normalization error is corrected. The qualitative result remains unchanged

References in corpus (2)

• Entanglement entropy of $\alpha$-vacua in de Sitter space
• Observer dependence of bubble nucleation and Schwinger pair production

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