A note on initial state entanglement in inflationary cosmology

Abstract

We give a new interpretation of the effect of initial state entanglement on the spectrum of vacuum fluctuations. We consider an initially entangled state between two free massive scalar fields in de Sitter space. We construct the initial state by making use of a Bogoliubov transformation between the Bunch-Davies vacuum and a four mode squeezed state, and then derive the exact power spectrum for one of the scalar fields. We demonstrate that an oscillatory spectrum hardly appears for the initially entangled state unless an ad hoc absolute value of the Bogoliubov coefficients is chosen.

10 pages

References in corpus (5)

• Impact of quantum entanglement on spectrum of cosmological fluctuations
• Entanglement negativity in the multiverse
• Cosmological Consequences of Initial State Entanglement
• Observer dependence of bubble nucleation and Schwinger pair production
• Vacua and correlators in hyperbolic de Sitter space

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