Exact Quantum Many-Body Scars in 2D Quantum Gauge Models
Strongly Correlated Electrons
2025-10-09 v2 Statistical Mechanics
Quantum Physics
Abstract
Quantum many-body scars (QMBS) serve as important examples of ergodicity-breaking phenomena in quantum many-body systems. Despite recent extensive studies, exact QMBS are rare in dimensions higher than one. In this paper, we study a two-dimensional quantum gauge model that is dual to a two-dimensional spin- XY model defined on bipartite graphs. We identify the exact eigenstates of the XY model with a tower structure as exact QMBS. Exploiting the duality transformation, we show that the exact QMBS of the XY model (and XXZ model) after the transformation are the exact QMBS of the dual gauge model. This construction is versatile and has potential applications for finding new QMBS in other higher-dimensional models.
Keywords
Cite
@article{arxiv.2505.21921,
title = {Exact Quantum Many-Body Scars in 2D Quantum Gauge Models},
author = {Yuan Miao and Linhao Li and Hosho Katsura and Masahito Yamazaki},
journal= {arXiv preprint arXiv:2505.21921},
year = {2025}
}
Comments
39 pages, 19 figures