论文标题
宇宙学扰动的纠缠熵
Entanglement Entropy of Cosmological Perturbations
论文作者
论文摘要
我们表明，宇宙学扰动的熵源自早期宇宙中量子真空波动，包括领先的非线性相互作用的贡献，可以看作是子和超级超支模式之间的动量空间纠缠熵。这些模式之间的相互作用会导致超级可超支波动的破坏性，这反过来导致了与超级超支不良性相对应的降低密度矩阵的非变化熵。特别是，将其应用于通货膨胀宇宙学表明，除非通货膨胀持续很短的时间，否则领导秩序非线性产生的纠缠熵占主导地位。此外，要求在标准宇宙学的辐射阶段开始时，这种纠缠熵比热熵小，这会导致通货膨胀持续时间上的上限，这与从跨普兰克审查的构造构想所获得的相似。
We show that the entropy of cosmological perturbations originating as quantum vacuum fluctuations in the very early universe, including the contribution of the leading nonlinear interactions, can be viewed as momentum space entanglement entropy between sub- and super-Hubble modes. The interactions between these modes causes decoherence of the super-Hubble fluctuations which, in turn, leads to a non-vanishing entropy of the reduced density matrix corresponding to the super-Hubble inhomogeneities. In particular, applying this to inflationary cosmology reveals that the entanglement entropy produced by leading order nonlinearities dominates over that coming from the squeezing of the vacuum state unless inflation lasts for a very short period. Furthermore, demanding that this entanglement entropy be smaller than the thermal entropy at the beginning of the radiation phase of standard cosmology leads to an upper bound on the duration of inflation which is similar to what is obtained from the Trans-Planckian Censorship Conjecture.
