Realization of an atomic quantum Hall system in four dimensions
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 novel topological states predicted in dimensions . 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. The non-trivial topology is evidenced by measuring a quantized electromagnetic non-linear response and observing anisotropic hyperedge modes. We also excite non-planar cyclotron motion, contrasting with its circular equivalents in . Our work opens to the investigation of strongly-correlated topological liquids in 4D generalizing fractional quantum Hall states.
Cite
@article{arxiv.2210.06322,
title = {Realization of an atomic quantum Hall system in four dimensions},
author = {Jean-Baptiste Bouhiron and Aurélien Fabre and Qi Liu and Quentin Redon and Nehal Mittal and Tanish Satoor and Raphael Lopes and Sylvain Nascimbene},
journal= {arXiv preprint arXiv:2210.06322},
year = {2024}
}
Comments
14 pages, 13 figures. This is the author's version of the work. It is posted here by permission of the AAAS for personal use, not for redistribution. The definitive version was published in Science 384 doi: 10.1126/science.adf8459