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Quantum entanglement in de Sitter space from Stringy Axion: An analysis using alpha vacua

Choudhury, S., & Panda, S. (in press). Quantum entanglement in de Sitter space from Stringy Axion: An analysis using alpha vacua. Nuclear Physics B. Retrieved from http://arxiv.org/abs/1712.08299.

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Creators:
Choudhury, Sayantan1, Author
Panda, Sudhakar, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014

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Free keywords: High Energy Physics - Theory, hep-th,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO,General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Phenomenology, hep-ph,Quantum Physics, quant-ph
Abstract: In this work, we study the phenomena of quantum entanglement by computing de Sitter entanglement entropy from von Neumann measure. For this purpose we consider a bipartite quantum field theoretic setup in presence of axion originating from ${\bf Type~ II~B}$ string theory. We consider the initial vacuum to be CPT invariant non-adiabatic $\alpha$ vacua state under ${\bf SO(1,4)}$ ismometry, which is characterized by a real one-parameter family. To implement this technique we use a ${\bf S^2}$ which divide the de Sitter into two exterior and interior sub-regions. First, we derive the wave function of axion in an open chart for $\alpha$ vacua by applying Bogoliubov transformation on the solution for Bunch-Davies vacuum state. Further, we quantify the density matrix by tracing over the contribution from the exterior region. Using this result we derive entanglement entropy, R$\acute{e}$nyi entropy and explain the long-range quantum effects in primordial cosmological correlations. We also provide a comparison between the results obtained from Bunch-Davies vacuum and the generalized $\alpha$ vacua, which implies that the amount of quantum entanglement and the long-range effects are larger for non zero value of the parameter $\alpha$. Most significantly, our derived results for $\alpha$ vacua provides the necessary condition for generating non zero entanglement entropy in primordial cosmology.

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Dates: 2017-12-212018-06-012019
Publication Status: Accepted / In Press
Pages: 68 pages, 26 figures, 9 tables, Updated version, Title changed, Typos corrected
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Identifiers: arXiv: 1712.08299
URI: http://arxiv.org/abs/1712.08299
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Title: Nuclear Physics B
Source Genre: Journal
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