Entanglement growth during thermalization in holographic systems
Entanglement growth during thermalization in holographic systems
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DOI：
10.1103/physrevd.89.066012
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发表时间：
2013-11
影响因子：
5
通讯作者：
Hong Liu;S. J. Suh
中科院分区：
文献类型：
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作者：
Hong Liu;S. J. Suh
详细推导了猝灭全息系统中纠缠熵等非定域观测量随时间演化的几个普适特征。猝灭使得在瞬间注入空间均匀密度的能量，从而激发最终平衡的强耦合CFT。在引力方面，这种淬灭过程被描述为导致黑洞的薄壳的引力坍缩。各种非局部观测量有一个统一的描述方面的面积极值曲面的不同维度。在大的距离限制，极值表面的演变，从而相应的边界可观察到的，是由周围和内部的黑洞的事件视界的几何形状，使我们能够识别制度的前局部平衡二次增长，后局部平衡线性增长，记忆丧失制度，和饱和制度的行为类似于那些在相变。我们还讨论了相对论系统中最大纠缠增长率的可能界限。
We derive in detail several universal features in the time evolution of entanglement entropy and other nonlocal observables in quenched holographic systems. The quenches are such that a spatially uniform density of energy is injected at an instant in time, exciting a strongly coupled CFT which eventually equilibrates. Such quench processes are described on the gravity side by the gravitational collapse of a thin shell that results in a black hole. Various nonlocal observables have a unified description in terms of the area of extremal surfaces of different dimensions. In the large distance limit, the evolution of an extremal surface, and thus the corresponding boundary observable, is controlled by the geometry around and inside the event horizon of the black hole, allowing us to identify regimes of pre-local- equilibration quadratic growth, post-local-equilibration linear growth, a memory loss regime, and a saturation regime with behavior resembling those in phase transitions. We also discuss possible bounds on the maximal rate of entanglement growth in relativistic systems.