论文标题

量子多体疤痕,无旋转的费米,并辅助跳跃在更高维度

Quantum many-body scars of spinless fermions with density-assisted hopping in higher dimensions

论文作者

Tamura, Kensuke, Katsura, Hosho

论文摘要

我们引入了一类无旋转费米模型,这些模型表现出量子多体疤痕(QMB),该模型源自动力学约束,以密度辅助跳跃的形式。这些模型可以在任何维度上的任何晶格上定义,并允许在空间变化的相互作用上定义。我们以有限的能量密度构建一个精确的本征状塔,我们证明了这些QMB通过研究纠缠熵和相关功能来负责系统的非热质性质。还研究了来自某些初始状态的淬灭动力学,并证实QMB诱导非热力化动力学。作为QMB的另一个特征,我们给出了QMB是独特的基础状态的父母哈密顿量。我们还严格证明了独特性。

We introduce a class of spinless fermion models that exhibit quantum many-body scars (QMBS) originating from kinetic constraints in the form of density-assisted hopping. The models can be defined on any lattice in any dimension and allow for spatially varying interactions. We construct a tower of exact eigenstates with finite energy density, and we demonstrate that these QMBS are responsible for the nonthermal nature of the system by studying the entanglement entropy and correlation functions. The quench dynamics from certain initial states is also investigated, and it is confirmed that the QMBS induce nonthermalizing dynamics. As another characterization of the QMBS, we give a parent Hamiltonian for which the QMBS are unique ground states. We also prove the uniqueness rigorously.

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