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 the vacuum time dependent entanglement entropy at the conformal and large N limit. It is shown that the vacuum evolves as a time dependent SU(2)...

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Bibliographic Details
Published in:Physics letters. B 2021-06, Vol.817, p.136340, Article 136340
Main Author: Nedel, Daniel L.
Format: Article
Language:English
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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 the vacuum time dependent entanglement entropy at the conformal and large N limit. It is shown that the vacuum evolves as a time dependent SU(2) squeezed state and the time dependent entanglement entropy has the same form of the Page curve of Black Hole formation and evaporation.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2021.136340