论文标题
嵌入广告空间中的模拟黑洞的拼凑时间
Scrambling time for analogue black holes embedded in AdS space
论文作者
论文摘要
我们通过使用模拟黑洞提出了一项针对Thermofield双状态（TFD）的Gedanken实验，并提供了一种测试拼凑时间的方法。通过这种方法，我们清楚地证明了随着时间的流逝，冲击波如何改变TFD状态。随着整个系统在时间上向前发展，时空几何形状的扰动将指数增加。最后，它将破坏热场的两个状态之间的纠缠，并且它们之间的相互信息在争夺的时间尺度下减少到零。结果表明，对于嵌入广告空间中的模拟黑洞的扰动，争夺时间的尺度与黑洞熵的对数密切相关。结果为争夺时间提供了进一步的理论论点，这可以在实验中进一步伪造。
We propose a gedanken experiment on realizing thermofield double state (TFD) by using analog black holes and provide an approach to test the scrambling time. Through this approach, we demonstrate clearly how shock wave changes the TFD state as time evolves. As the whole system evolves forward in time, the perturbation of space-time geometry will increase exponentially. Finally, it will destroy the entanglement between the two states of the thermal field, and the mutual information between them is reduced to zero in the time scale of scrambling. The results show that for perturbations of analogue black holes embedded in AdS space, the scale of the scrambling time is closely related to the logarithm of entropy of the black hole. The results provide further theoretical argument for the scrambling time, which can be further falsified in experiments.
