论文标题
Affleck-Kennedy-Lieb-Tasaki模型的某些方面:张量网络,物理性质,光谱差距,变形和量子计算
Some aspects of Affleck-Kennedy-Lieb-Tasaki models: tensor network, physical properties, spectral gap, deformation, and quantum computation
论文作者
论文摘要
Affleck,Kennedy,Lieb和Tasaki构建了一种Spin-1模型,该模型在旋转中是各向同性的,并且在三十多年前拥有超过基态的有限差距。他们还在二维中构建了模型。他们的施工影响了随后仍活跃的研究。在这篇评论文章中,我们回顾了一些进步,例如AKLT模型的磁性顺序,在变形AKLT汉密尔顿人的磁性阶段,在几种AKLT模型中受对称保护的拓扑顺序,它们的频谱差距以及用于量子计算的应用。
Affleck, Kennedy, Lieb, and Tasaki constructed a spin-1 model that is isotropic in spins and possesses a provable finite gap above the ground state more than three decades ago. They also constructed models in two dimensions. Their construction has impacted subsequent research that is still active. In this review article, we review some selected the progresses, such as magnetic ordering of the AKLT models, emerging phases under deforming the AKLT Hamiltonians, symmetry-protected topological order in several AKLT models, their spectral gap, and applications for quantum computation.