论文标题
重力制备状态中的烤孔虫孔
Bra-ket wormholes in gravitationally prepared states
论文作者
论文摘要
我们考虑由重力路径积分产生的两个维CFT状态。 作为第一种情况，我们考虑了Euclidean $ ads_2 $ Evolution产生的状态，然后是平面演化。我们使用细粒度的熵公式来探索国家的性质。我们发现天真的双曲空间几何形状导致悖论。如果我们包括将胸罩与KET连接起来的几何形状，则可以解决这一问题。半古典的洛伦兹解释导致CFT国家与弗里德曼宇宙学的扩展和崩溃。 作为第二种情况，我们考虑了Lorentzian $ ds_2 $ Evolution产生的状态，然后再次进行平坦的空间演化。最天真的几何形状也导致了类似的悖论。我们探索几个可能的烤烤孔孔。最明显的导致温度差异很差。最有希望的也导致温度不同，但通过对低能状态进行投影，我们发现其具有与以前的欧几里得案例相似的特征。特别是，将来间隔的最大熵由DE Sitter熵设置。
We consider two dimensional CFT states that are produced by a gravitational path integral. As a first case, we consider a state produced by Euclidean $AdS_2$ evolution followed by flat space evolution. We use the fine grained entropy formula to explore the nature of the state. We find that the naive hyperbolic space geometry leads to a paradox. This is solved if we include a geometry that connects the bra with the ket, a bra-ket wormhole. The semiclassical Lorentzian interpretation leads to CFT state entangled with an expanding and collapsing Friedmann cosmology. As a second case, we consider a state produced by Lorentzian $dS_2$ evolution, again followed by flat space evolution. The most naive geometry also leads to a similar paradox. We explore several possible bra-ket wormholes. The most obvious one leads to a badly divergent temperature. The most promising one also leads to a divergent temperature but by making a projection onto low energy states we find that it has features that look similar to the previous Euclidean case. In particular, the maximum entropy of an interval in the future is set by the de Sitter entropy.
