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.
@article{arxiv.2503.00114,
title = {Fast Scrambling in the Hyperbolic Ising Model},
author = {Goksu Can Toga and Abhishek Samlodia and Alexander F. Kemper},
journal= {arXiv preprint arXiv:2503.00114},
year = {2025}
}
Comments
9 pages, 7 figures. Fixed typos and updated figures