Self-similar phase diagram of the Fibonacci-driven quantum Ising model
Disordered Systems and Neural Networks
2026-01-27 v1 Quantum Physics
Abstract
We study a stroboscopic quantum Ising model with Fibonacci dynamics. Focusing on boundary spin correlation functions in long but finite chains, our simulations as well as analytical arguments reveal a self-similar phase diagram exhibiting regions with Majorana zero modes (MZM) as well as Majorana golden-ratio modes (MGM). We identify the self-similarity transform which governs the evolution of the phase diagram with increasing simulation time. Integrability-breaking perturbations lead to a temporal decay of the boundary spin correlations, ultimaltely limiting the self-similarity of the phase diagram. Our predictions are testable with current quantum information processors.
Keywords
Cite
@article{arxiv.2410.18219,
title = {Self-similar phase diagram of the Fibonacci-driven quantum Ising model},
author = {Harald Schmid and Yang Peng and Gil Refael and Felix von Oppen},
journal= {arXiv preprint arXiv:2410.18219},
year = {2026}
}
Comments
5+4 pages, 5 figures