近日，法国索邦大学的Sylvain Nascimbene及其研究团队取得一项新进展。经过不懈努力，他们实现四维原子量子霍尔系统。相关研究成果已于
该研究团队成功实现了一个四维演化的原子量子霍尔系统，其中利用镝原子的大自旋，将两个空间维度和两个合成维度进行了编码。通过全面表征非线性电磁响应，研究人员不仅测量了接地能带的非平凡拓扑指数，还观察到了与之相关的各向异性超边缘模式。
值得一提的是，与D≤3的平面轨道不同，该团队还成功激发了非平面回旋加速器运动。这一研究工作不仅为强关联拓扑液体的研究提供了新的可能性，还进一步推广了分数量子霍尔态的概念。
据悉，从量子霍尔系统到拓扑绝缘体，现代凝聚态物理学依赖于拓扑的概念来对物质进行分类。工程系统受益于合成维度，可以潜在地获得维度D > 3中预测的拓扑状态。
附：英文原文
Title: Realization of an atomic quantum Hall system in four dimensions
Author: Jean-Baptiste Bouhiron, Aurélien Fabre, Qi Liu, Quentin Redon, Nehal Mittal, Tanish Satoor, Raphael Lopes, Sylvain Nascimbene
Issue&Volume: 2024-04-12
Abstract: Modern condensed matter physics relies on the concept of topology to classify matter, from quantum Hall systems to topological insulators. Engineered systems, benefiting from synthetic dimensions, can potentially give access to topological states predicted in dimensions D > 3. We report the realization of an atomic quantum Hall system evolving in four dimensions (4D), with two spatial dimensions and two synthetic ones encoded in the large spin of dysprosium atoms. We measure the nontrivial topological index of the ground band through a full characterization of the nonlinear electromagnetic response and observe the associated anisotropic hyperedge modes. We also excite nonplanar cyclotron motion, in contrast to the planar orbits in D ≤ 3. Our work may enable the investigation of strongly correlated topological liquids in 4D, generalizing fractional quantum Hall states.
Source: https://www.science.org/doi/10.1126/science.adf8459