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arXiv · 1902.00521

Generating Entangled Inflationary Quantum States

R. Holman·Benoit J. Richard
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Abstract

Entangled inflationary quantum states offer an interesting alternative to the standard Bunch-Davies vacuum. While they can be viewed from the point of view of a theory of effective initial states, it has been unclear exactly how such states might be generated. Using a model involving two scalar fields $Φ,Σ$ we show that if {\em both} fields have non-zero time dependent expectation values $ϕ,σ$ respectively, and if the interaction potential $V(Φ,Σ)$ when evaluated at these expectation values has $\partial_ϕ\partial_σV(ϕ, σ)\neq 0$, this can serve as a source term for the entanglement kernel describing the state within the Gaussian approximation around the expectation values. We also show how cubic interactions between the metric perturbation $ζ$ and a scalar $Σ$ can be used to generate a source term for entanglement.

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R. Holman, Benoit J. Richard. 2019-02-01. Generating Entangled Inflationary Quantum States. https://arxiv.org/abs/1902.00521

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