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

Quantum many-body scars of spinless fermions with density-assisted hopping in higher dimensions
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高维密度辅助跳跃的无自旋费米子的量子多体疤痕

DOI:
10.1103/physrevb.106.144306
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发表时间:
2022
期刊:
影响因子:
3.7
通讯作者:
Katsura Hosho
Katsura Hosho
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Tamura Kensuke;Katsura Hosho

文献摘要

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我们介绍了一类无自旋费米子模型,该模型显示了量子多体伤痕(QMBS),该伤痕起源于密度辅助跳跃形式的动力学约束。这些模型可以定义在任何维度的任何晶格上,并允许空间变化的交互作用。我们构造了一组有限能量密度的精确本征态,并通过对纠缠熵和关联函数的研究,证明了这些量子本征态是导致系统非热性质的原因。还研究了某些初始态的失超动力学,证实了QMBS诱导了非热化动力学。作为QMBS的另一种刻画,我们给出了QMBS是唯一基态的双亲哈密顿量。我们还严格地证明了它的唯一性。
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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