Realization of an atomic quantum Hall system in four dimensions

• 成果类型: Article
• 署名作者: Bouhiron, Jean-Baptiste; Fabre, Aurelien; Liu, Qi; Redon, Quentin; Mittal, Nehal; Satoor, Tanish; Lopes, Raphael; Nascimbene, Sylvain
• 署名单位: Universite PSL; College de France; Ecole Normale Superieure (ENS); Centre National de la Recherche Scientifique (CNRS); Sorbonne Universite; Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Massachusetts Institute of Technology (MIT); Harvard University; Massachusetts Institute of Technology (MIT); University of Cambridge
• 刊物名称: SCIENCE
• ISSN/ISSBN: 0036-14037
• DOI: 10.1126/science.adf8459
• 发表日期: 2024-04-12
• 页码: 223-227
• 关键词: edge states; monopole; field

摘要

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.