Generating Entangled Inflationary Quantum States

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 $\Phi ,\Sigma$ we show that if {\em both} fields have non-zero time dependent expectation values $\varphi ,\sigma$ respectively, and if the interaction potential $V(\Phi ,\Sigma )$ when evaluated at these expectation values has ${\partial }_{\varphi }{\partial }_{\sigma }V(\varphi ,\sigma )\ne 0$, 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 $\zeta$ and a scalar $\Sigma$ can be used to generate a source term for entanglement.

arXiv comment13 pages

References in corpus (8)

• Hybrid Inflation
• Quantum Contributions to Cosmological Correlations
• Impact of quantum entanglement on spectrum of cosmological fluctuations
• Cosmological Consequences of Initial State Entanglement
• Modifications to Cosmological Power Spectra from Scalar-Tensor Entanglement and their Observational Consequences
• Entangled Scalar and Tensor Fluctuations during Inflation
• Holographic bounds and finite inflation
• Quantum Entanglement in Multi-field Inflation

Cited by in corpus (2)

• Non-Gaussianity from Entanglement During Inflation
• Does Planck Actually "See" the Bunch-Davies State?