发表机构
School of Physics, Nankai University（南开大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究横向场下三分量 Hubbard 模型，提出广义 η 配对算符构造精确本征态，展现非对角长程序及疤痕动力学，并给出三种淬火制备方案。
AI 中文摘要
我们研究了在横向场存在下，位于二分晶格上的三分量 Hubbard 模型。与在横向场下保留 η 配对对称性的二分量 Hubbard 模型不同，三分量模型既不具有 η 配对对称性，也不具有每个分量粒子数守恒的性质。我们引入了一个广义的 η 配对算符，它由三种类型的二分量配对算符混合而成，并利用受限谱生成代数构造了一族精确本征态。这些本征态展现出非对角长程序。此外，我们构造了一个精确的张量积态，其相干周期动力学提供了量子多体疤痕动力学的精确实现，同时展现出长程磁序。我们还提出了三种通过淬火动力学制备该态的方案，并通过数值模拟验证了其有效性。
英文摘要
We investigate three-component Hubbard models on a bipartite lattice in the presence of a trans?verse field. Unlike the two-component Hubbard model, where the η-pairing symmetry survives the transverse field, the three-component model possesses neither η-pairing symmetry nor conservation of the particle number of each component. We introduce a generalized η-pairing operator, formed as a hybridization of three types of two-component pairing operators, and employ the restricted spectrum-generating algebra to construct a family of exact eigenstates. These eigenstates exhibit off-diagonal long-range order. Furthermore, we construct an exact tensor-product state whose co?herent periodic dynamics provide an exact realization of quantum many-body scar dynamics while simultaneously exhibiting long-range magnetic order. We also propose three protocols for preparing this state via quench dynamics, and verify their effectiveness through numerical simulations.
