论文标题
黑洞通常饱和纠缠熵最快
Black holes often saturate entanglement entropy the fastest
论文作者
论文摘要
There is a simple bound on how fast the entanglement entropy of a subregion of a many-body quantum system can saturate in a quench: $t_\text{sat}\geq R/v_B$, where $t_\text{sat}$ is the saturation time, $R$ the radius of the largest inscribed sphere, and $v_B$ the butterfly velocity characterizing operator growth.通过结合分析和数值方法，我们表明，在具有全息双重双重的系统中，饱和度时间等于此下部的下限，对于各种不同形状的纠缠表面，这意味着双重黑色的孔尽可能快地饱和。这一发现增加了越来越多的黑洞最快的任务列表。我们进一步分析了具有多种形状的大区域的纠缠熵的完整时间演变，从而获得了有关这些系统中热化过程的更详细信息。
There is a simple bound on how fast the entanglement entropy of a subregion of a many-body quantum system can saturate in a quench: $t_\text{sat}\geq R/v_B$, where $t_\text{sat}$ is the saturation time, $R$ the radius of the largest inscribed sphere, and $v_B$ the butterfly velocity characterizing operator growth. By combining analytic and numerical approaches, we show that in systems with a holographic dual, the saturation time is equal to this lower bound for a variety of differently shaped entangling surfaces, implying that the dual black holes saturate the entanglement entropy as fast as possible. This finding adds to the growing list of tasks that black holes are the fastest at. We furthermore analyze the complete time evolution of entanglement entropy for large regions with a variety of shapes, yielding more detailed information about the process of thermalization in these systems.
