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Entanglement Entropy of Cosmological Perturbations

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arxiv 2005.09688 v3 pith:HAZVP7RX submitted 2020-05-19 hep-th astro-ph.COgr-qc

Suddhasattwa Brahma , Omar Alaryani , Robert Brandenberger This is my paper
classification hep-thastro-ph.COgr-qc
keywords entropyentanglementsuper-hubblecosmologicalcosmologyfluctuationsinflationinteractions
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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.

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Cited by 5 Pith papers

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