We study the doubly holographic model of [1] in the situation where a black hole in two-dimensional JT gravity theory is coupled to an auxiliary bath system at arbitrary finite temperature. Depending on the initial temperature of the black hole relative to the bath temperature, the black hole can lose mass by emitting Hawking radiation, stay in equilibrium with the bath or gain mass by absorbing thermal radiation from the bath. In all of these scenarios, a unitary Page curve is obtained by applying the usual prescription for holographic entanglement entropy and identifying the quantum extremal surface for the generalized entropy, using both analytical and numeric calculations. As the application of the entanglement wedge reconstruction, we further investigate the reconstruction of the black hole interior from a subsystem containing the Hawking radiation. We examine the roles of the Hawking radiation and also the purification of the thermal bath in this reconstruction.

中文翻译：

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蒸发黑洞耦合到热浴

我们在二维 JT 引力理论中的黑洞耦合到任意有限温度的辅助浴系统的情况下研究了 [1] 的双全息模型。根据黑洞相对于浴温的初始温度，黑洞可以通过发射霍金辐射损失质量、与浴保持平衡或通过吸收浴中的热辐射来增加质量。在所有这些场景中，通过应用全息纠缠熵的常用方法并使用解析计算和数值计算确定广义熵的量子极值面，可以获得单一的佩奇曲线。作为纠缠楔重建的应用，我们进一步研究了从包含霍金辐射的子系统重建黑洞内部。我们研究了霍金辐射的作用以及在这次重建中温泉浴的净化。