标题： 费舍尔信息时空中的BTZ黑洞 显示英文标题

标题： BTZ Black Hole in Fisher Information Spacetime

摘要： 我们研究了是否可以在费雪信息时空（Fisher information spacetime）中制造黑洞，以及什么样的量子态会以反德西特时空/共形场论对应关系（anti-de Sitter spacetime/conformal field theory correspondence）的形式产生黑洞解。在此，我们将重点放在邦加特-蒂特尔博姆-扎内利（Banados-Teitelboim-Zanelli）黑洞上。存在一种数学表示形式，它定义了费雪几何作为黑洞时空的纠缠光谱。我们发现，这种表示形式与有限温度下的共形场论中的纠缠光谱非常相似，除了少数修正项外，然后逆温度对应于庞加莱坐标中事件视界的位位置。 显示英文摘要

摘要： We examine whether we can make a black hole in Fisher information spacetime and what kind of quantum states produce the black hole solution in terms of the anti-de Sitter spacetime/conformal field theory correspondence. Here we focus on the Banados-Teitelboim-Zanelli black hole. There exists a mathematical representation of entanglement spectra that define the Fisher geometry as the black hole spacetime. We find that this representation is quite similar to the entanglement spectra in a conformal field theory at finite temperature except for minor corrections, and then the inverse temperature corresponds to the position of the event horizon in the Poincare coordinate.