Time dependent Entanglement Entropy in SYK models and Page Curve
Daniel L. Nedel
TL;DR
This paper introduces new interaction terms in SYK models enabling exact calculation of time-dependent entanglement entropy, which exhibits a Page curve similar to black hole evaporation, advancing understanding of quantum gravity and entanglement dynamics.
Contribution
It proposes novel interaction terms in SYK models that allow exact analysis of vacuum state evolution and entanglement entropy over time.
Findings
Vacuum evolves as a time-dependent SU(2) squeezed state
Entanglement entropy follows a Page curve during black hole-like processes
Exact solutions for entanglement dynamics in SYK models are obtained
Abstract
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 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.
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