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.

中文翻译：

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SYK模型和页面曲线中随时间变化的纠缠熵

在这项工作中，提出了两个SYK模型之间的新的交互作用项，这些项可以定义一个交互作用图，从而有可能在保形和大N极限下计算与真空时间有关的纠缠熵。结果表明，真空度随时间而变化$\mathrm{小号}ü（\mathrm{2个}）$ 压缩状态和随时间变化的纠缠熵具有与黑洞形成和蒸发的Page曲线相同的形式。