一维广义团簇模型的拓扑和动力学性质
Topological and dynamical properties of a generalized cluster model in one dimension
摘要：
本文研究了具有竞争相互作用的一维团簇模型的基态相图和动力学。特别注意的纠缠谱（ES）和体拓扑（缠绕）数之间的关系，我们首先映射出模型的基态相位和确定的普适类的过渡从精确的解决方案。然后我们研究了相互作用扫过拓扑相变临界点时的动力学性质。当扫描速度较低时，关联函数和纠缠熵呈现空间周期性结构。除此之外，ES中的能级在动态过程中随时间振荡。通过明确计算激发态的上述量，我们将这些行为归因于临界点附近产生的Bogoliubov准粒子。我们还表明，ES反映了强度的马约拉纳相关的激发态。
英文摘要：
We study the ground-state phase diagram and dynamics of the one-dimensional cluster model with several competing interactions. Paying particular attention to the relation between the entanglement spectrum (ES) and the bulk topological (winding) number, we first map out the ground-state phases of the model and determine the universality classes of the transitions from the exact solution. We then investigate the dynamical properties during interaction sweeps through the critical points of topological phase transitions. When the sweep speed is slow, the correlation functions and the entanglement entropy exhibit spatially periodic structures. On top of this, the levels in the ES oscillate temporally during the dynamics. By explicitly calculating the above quantities for excited states, we attribute these behaviors to the Bogoliubov quasiparticles generated near the critical points. We also show that the ES reflects the strength of the Majorana correlation even for the excited states.
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