标题： 二维量子规范模型中的精确量子多体疤痕 显示英文标题

标题： Exact Quantum Many-Body Scars in 2D Quantum Gauge Models

摘要： 量子多体疤痕（QMBS）是量子多体系统中打破遍历性现象的重要例子。尽管近期有广泛的研究，但高维系统中的精确QMBS仍然很少见。本文中，我们研究了一个二维量子$\mathbb{Z}_2$规范模型，该模型与定义在双部分图上的二维自旋-$1/2$XY模型是对偶的。我们将XY模型具有塔状结构的确切本征态识别为精确QMBS。利用对偶变换，我们证明了变换后的XY模型（和XXZ模型）的确切QMBS成为对偶$\mathbb{Z}_2$规范模型的确切QMBS。这一构建方法具有通用性，并且有可能应用于在其他高维模型中发现新的QMBS。 显示英文摘要

摘要： 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 $\mathbb{Z}_2$ gauge model that is dual to a two-dimensional spin-$1/2$ 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 $\mathbb{Z}_2$ gauge model. This construction is versatile and has potential applications for finding new QMBS in other higher-dimensional models.