Quantum Simulation for Three-Dimensional Chiral Topological Insulator.,Physical Review Letters

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Quantum Simulation for Three-Dimensional Chiral Topological Insulator.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-07-10 , DOI: 10.1103/physrevlett.125.020504
Wentao Ji _{1,

2,

3} , Lin Zhang _{4,

5} , Mengqi Wang _{1,

2,

3} , Long Zhang _{4,

5} , Yuhang Guo _{1,

2,

3} , Zihua Chai _{1,

2,

3} , Xing Rong _{1,

2,

3} , Fazhan Shi _{1,

2,

3} , Xiong-Jun Liu _{4,

5,

6,

7} , Ya Wang _{1,

2,

3} , Jiangfeng Du _{1,

2,

3}

Affiliation

Quantum simulation, as a state-of-the-art technique, provides a powerful way to explore topological quantum phases beyond natural limits. Nevertheless, it is usually hard to simulate both the bulk and surface topological physics at the same time to reveal their correspondence. Here we build up a quantum simulator using nitrogen-vacancy center to investigate a three-dimensional (3D) chiral topological insulator, and demonstrate the study of both the bulk and surface topological physics by quantum quenches. First, a dynamical bulk-surface correspondence in momentum space is observed, showing that the bulk topology of the 3D phase uniquely corresponds to the nontrivial quench dynamics emerging on 2D momentum hypersurfaces called band inversion surfaces (BISs). This is the momentum-space counterpart of the bulk-boundary correspondence in real space. Further, the symmetry protection of the 3D chiral phase is uncovered by measuring dynamical spin textures on BISs, which exhibit perfect (broken) topology when the chiral symmetry is preserved (broken). Finally, we measure the topological charges to characterize directly the bulk topology and identify an emergent dynamical topological transition when varying the quenches from deep to shallow regimes. This work demonstrates how a full study of topological phases can be achieved in quantum simulators.

中文翻译：

三维手性拓扑绝缘子的量子模拟。

量子模拟作为一种最先进的技术，为探索超出自然极限的拓扑量子相提供了一种有力的方法。然而，通常很难同时模拟体物理和表面拓扑物理以揭示它们的对应关系。在这里，我们使用氮空位中心建立了一个量子模拟器，以研究三维（3D）手性拓扑绝缘子，并通过量子猝灭展示了对本体和表面拓扑物理学的研究。首先，观察到动量空间中的动态体-表面对应关系，这表明3D相的体拓扑唯一地对应于2D动量超表面上称为带反转表面（BIS）的非平常猝灭动力学。这是真实空间中体边界对应的动量空间对应。此外，通过测量BIS上的动态自旋纹理来发现3D手性相的对称性保护，当手性对称性得以保留（破碎）时，BIS呈现出完美的（破碎）拓扑。最后，我们测量拓扑电荷以直接表征整体拓扑，并在从深部到浅部改变淬火时确定出现的动态拓扑过渡。这项工作演示了如何在量子模拟器中完成对拓扑阶段的全面研究。我们测量拓扑电荷以直接表征整体拓扑，并在从深部到浅部改变淬火时确定出现的动态拓扑过渡。这项工作演示了如何在量子模拟器中完成对拓扑阶段的全面研究。我们测量拓扑电荷以直接表征整体拓扑，并在从深部到浅部改变淬火时确定出现的动态拓扑过渡。这项工作演示了如何在量子模拟器中完成对拓扑阶段的全面研究。

更新日期：2020-07-10

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