Time dependent Entanglement Entropy in SYK models and Page Curve

In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a time dependent \(SU(2)\) squezed state. The time depende...

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Bibliographic Details
Published in:arXiv.org 2020-07
Main Author: Nedel, Daniel L
Format: Article
Language:English
Subjects:
Entanglement
Entropy
Time dependence
Online Access:Get full text
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Summary:In this work new interaction terms between two SYK models are proposed, which allow to define an interaction picture such that it is possible to calculate exactly the vacuum state's time evolution. It is shown that the vacuum evolves as a time dependent \(SU(2)\) squezed state. The time dependent entanglement entropy is calculated and it has the same form of the Page curve of Black Hole formation and evaporation.
ISSN:2331-8422
DOI:10.48550/arxiv.2007.06770