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Time dependent Entanglement Entropy in SYK models and Page Curve
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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 $SU(2)$ 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.
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Cited by 1 Pith paper
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Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity
In JT gravity toy models, late-time modular entropy and capacity of entanglement scale inversely with n times the inverse temperature, supporting a thermal reading of the replica parameter.
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