论文标题
具有量子步行的拓扑阶段和边缘状态的可控仿真
Controllable simulation of topological phases and edge states with quantum walk
论文作者
论文摘要
我们通过两种类型的量子阶段，边界和边缘状态模拟了凝结物中的各种拓扑现象，例如与统计依赖性硬币的两种类型的量子行走。尤其是，我们表明，具有踩踏硬币的一维量子步行模拟了BDI家族以及所有类型的边界和边缘状态中的所有类型的拓扑阶段。此外，我们表明逐步依赖的硬币将步骤数作为模拟的控制因素。实际上，通过调整步骤数，我们可以确定边界，边缘状态和拓扑阶段，它们的类型以及应位于何处的发生。这两个特征使量子散发的量子步行通用和高度可控的模拟器，拓扑阶段，边界，边缘状态和拓扑相变。我们还报告了模拟拓扑现象的细胞样结构的出现。每个细胞包含BDI家族的所有类型的边界（边缘）状态和拓扑阶段。
We simulate various topological phenomena in condense matter, such as formation of different topological phases, boundary and edge states, through two types of quantum walk with step-dependent coins. Particularly, we show that one-dimensional quantum walk with step-dependent coin simulates all types of topological phases in BDI family, as well as all types of boundary and edge states. In addition, we show that step-dependent coins provide the number of steps as a controlling factor over the simulations. In fact, with tuning number of steps, we can determine the occurrences of boundary, edge states and topological phases, their types and where they should be located. These two features make quantum walks versatile and highly controllable simulators of topological phases, boundary, edge states, and topological phase transitions. We also report on emergences of cell-like structures for simulated topological phenomena. Each cell contains all types of boundary (edge) states and topological phases of BDI family.
