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arXiv 1902.00521hep-thastro-ph.COgr-qc
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纠缠暴胀量子态的制备

Generating Entangled Inflationary Quantum States

R. Holman, Benoit J. Richard

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13 pages
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摘要：

纠缠暴胀量子态提供了一个有趣的替代标准Bunch-Davies真空。虽然它们可以从有效初始状态理论的角度来看待，但一直不清楚这些状态是如何产生的。使用一个模型，涉及两个标量场$Φ,Σ$，我们表明，如果{ \em两个}字段分别有非零的时间依赖的期望值$ϕ,σ$，如果相互作用势$V(Φ,Σ)$时，在这些期望值进行评估有$\partial_ϕ\partial_σV(ϕ, σ)\neq 0$，这可以作为一个源项的纠缠内核描述的状态在高斯近似的期望值。我们还展示了如何立方之间的相互作用的度量扰动$ζ$和标量$Σ$可以用来产生一个源项纠缠。

英文摘要：

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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