论文标题
一项量子表征和量子模拟基特链链的对称性的研究
A study of topological characterization and symmetries for a quantum simulated Kitaev chain
论文作者
论文摘要
试图量子模拟拓扑分类，例如量子模拟的基塔伊夫链的绕组数，几何相和对称性。我们发现，α（自旋轨道耦合和磁场之间的比率）以及考虑动量空间的范围，这对于拓扑分类起着至关重要的作用。我们明确地表明，对于量子模拟的Kitaev链，拓扑量子相变不发生在K = 0的限制下。我们观察到Majorana模式的准粒子质量在拓扑量子相变中起重要作用。我们还表明，模拟Kitaev链的对称性与原始Kitaev链相同。给出了模拟基塔夫链的精确解决方案。这项工作为新的新兴量子模拟器以及物质的拓扑状态提供了新的视角。
An attempt is made to quantum simulate the topological classification, such as winding number, geometric phase and symmetry properties for a quantum simulated Kitaev chain. We find, α (ratio between the spin-orbit coupling and magnetic field) and the range of momentum space of consideration, which plays a crucial role for the topological classification. We show explicitly that the topological quantum phase transition does not occurs at k = 0 limit for the quantum simulated Kitaev chain. We observe that the quasi-particle mass of the Majorana mode plays the significant role in topological quantum phase transition. We also show that the symmetry properties of simulated Kitaev chain is the same with original Kitaev chain. The exact solution of simulated Kitaev chain is given. This work provides a new perspective on new emerging quantum simulator and also for the topological state of matter.
