论文标题

从几何挫败感中确切的三色量子疤痕

Exact three-colored quantum scars from geometric frustration

论文作者

Lee, Kyungmin, Melendrez, Ronald, Pal, Arijeet, Changlani, Hitesh J.

论文摘要

量子材料的非平衡性质具有许多有趣的特性,其中包括违反本征态热化假设。这种行为主要是在无序系统中观察到的。最近,在一个维动力学的一个维度中,在一个不可融合的无序模型中出现了无综合性疾病模型中出现的无综合疾病的实验和理论证据。在这项工作中,我们展示了量子疤痕本征的存在,并在许多“交错”相互作用的许多简单的两体汉密尔顿人中研究了它们的动力学特性,其中涉及非任意维度的铁磁和反铁磁基序。这些磁性模型包括在各种沮丧和未覆盖的晶格上对经过广泛研究的模型(例如XXZ模型)的简单修改。我们通过关注二维挫折的自旋1/2 kagome抗fiferromagnet来展示我们的想法,该抗铁磁铁以前在其相图中具有“三色”基础状态具有特殊的可解决点。对于适当选择的初始产品状态(例如,与任何有效的三色状态相对应的产品状态),我们显示出强大的量子复兴的存在,这可以在添加各向异性术语中幸存下来。我们还建议将来实验的途径,这些途径可能会在实际材料中看到这种影响。

Non-equilibrium properties of quantum materials present many intriguing properties, among them athermal behavior, which violates the eigenstate thermalization hypothesis. Such behavior has primarily been observed in disordered systems. More recently, experimental and theoretical evidence for athermal eigenstates, known as "quantum scars" has emerged in non-integrable disorder-free models in one dimension with constrained dynamics. In this work, we show the existence of quantum scar eigenstates and investigate their dynamical properties in many simple two-body Hamiltonians with "staggered" interactions, involving ferromagnetic and antiferromagnetic motifs, in arbitrary dimensions. These magnetic models include simple modifications of widely studied ones (e.g., the XXZ model) on a variety of frustrated and unfrustrated lattices. We demonstrate our ideas by focusing on the two dimensional frustrated spin-1/2 kagome antiferromagnet, which was previously shown to harbor a special exactly solvable point with "three-coloring" ground states in its phase diagram. For appropriately chosen initial product states -- for example, those which correspond to any state of valid three-colors -- we show the presence of robust quantum revivals, which survive the addition of anisotropic terms. We also suggest avenues for future experiments which may see this effect in real materials.

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