标题： 超反铁磁伊辛模型中的快速 scrambler 显示英文标题

标题： Fast Scrambling in the Hyperbolic Ising Model

摘要： 我们研究了双曲伊辛模型中的多体混沌和量子乱 scram bling现象，该模型是一种混合场伊辛模型，在二维反德西特（AdS₂）背景下定义。 通过将AdS₂度规应用于平坦最近邻自旋链，得到了与位置相关的耦合常数，从而捕捉到曲率的影响。 我们证明了这个模型，尽管只有局部的、与位置相关的最近邻相互作用，却表现出最大的混沌性，可以归类为快速 scram bler，并且对于某些参数集，它达到了马尔达西纳-申克尔-斯坦福（MSS）关于混沌的界限，这使得该模型成为少数几个（如果不是唯一的）例子之一，在其中观察到了这种快速 scram bling行为而无需全对全或长程相互作用。 此外，模拟该模型所需的资源相对较少，因此它成为研究量子计算机上 scram bling和混沌的理想测试平台。 显示英文摘要

摘要： We investigate many-body chaos and scrambling in the Hyperbolic Ising model, a mixed-field Ising model living in the background of AdS2. The effect of the curvature is captured by site-dependent couplings obtained from the AdS2 metric applied to a flat nearest neighbor spin chain. We show that this model with only local site-dependent nearest neighbor interactions is maximally chaotic, can be classified as a fast scrambler, and saturates the Maldacena-Shenker-Stanford (MSS) bound on chaos for a certain set of parameters, thus making this model one of the few if not the only example where such fast scrambling behavior has been seen without all-to-all or long-range interactions. Moreover, the modest resources needed to simulate this model make it an ideal test-bed for studying scrambling and chaos on quantum computers.