Matter-geometry entanglement in quantum cosmology

DOI10.1088/1361-6382/AB9D97zbMATH Open1478.83092arXiv1907.03776OpenAlexW3102510653MaRDI QIDQ5161843

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Publication date: 1 November 2021

Published in: (Search for Journal in Brave)

Abstract: We present a study of the evolution of entanglement entropy of matter and geometry in quantum cosmology. For a variety of Gaussian initial states and their linear combinations, and with evolution defined with respect to a relational time, we show numerically that (i) entanglement entropy increases rapidly at very early times, and subsequently saturates to a constant non-zero value, and (ii) that the saturation value of this entropy is a linear function of the energy associated to the quantum state: $S_{extent}^{p}si=gammalanglehatHangl{e}_{p}si$. These results suggest a remnant of quantum entanglement in the macroscopic Universe from the era of the Big Bang, independent of the initial state parameters, and a "First Law" associated with matter-gravity entanglement entropy in quantum gravity.

Full work available at URL: https://arxiv.org/abs/1907.03776

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