论文标题
量子混乱和统一黑洞蒸发
Quantum Chaos and Unitary Black Hole Evaporation
论文作者
论文摘要
在具有全息双重的理论中，小广告黑洞的形成和蒸发受量子力学的通常规则。本征态热假说解释了半经典重力对局部体积可观察物的有效性，可用于量化对半经典近似的量子校正大小。全息二元双重产生具有有限能量宽度的黑洞状态的基础，并且在经典相位空间上具有平稳功能的可观察到的物质将在大量的能量本征态上自动化，在Bekenstein-Hawking熵中指数指数，从而导致结果与级别校正至小校正级别校正级别（-2）。正如预期的那样，半经典描述分解了有助于全息理论的单一S矩阵的过渡幅度。
The formation and evaporation of small AdS black holes in a theory with a holographic dual is governed by the usual rules of quantum mechanics. The eigenstate thermalization hypothesis explains the validity of semiclassical gravity for local bulk observables and can be used to quantify the magnitude of quantum corrections to the semiclassical approximation. The holographic dual produces a basis of black hole states with finite energy width, and observables that are smooth functions on the classical phase space will self-average over a large number of energy eigenstates, exponential in the Bekenstein-Hawking entropy S, leading to results that are consistent with semiclassical gravity up to small corrections of order exp(-S/2). As expected, the semiclassical description breaks down for transition amplitudes that contribute to the unitary S matrix of the holographic theory.
