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Time dependent Entanglement Entropy in SYK models and Page Curve

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arxiv 2007.06770 v2 pith:7ZAMRWAR submitted 2020-07-14 hep-th quant-ph

classification hep-thquant-ph
keywords timedependentcurveentanglemententropyinteractionmodelspage
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Replica Wormholes, Modular Entropy, and Capacity of Entanglement in JT Gravity

    hep-th 2025-01 conditional novelty 4.0 of 10

    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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