Realization of an atomic quantum Hall system in four dimensions
Fuente:
arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866911873315635200 |
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| author | Bouhiron, Jean-Baptiste Fabre, Aurélien Liu, Qi Redon, Quentin Mittal, Nehal Satoor, Tanish Lopes, Raphael Nascimbene, Sylvain |
| author_facet | Bouhiron, Jean-Baptiste Fabre, Aurélien Liu, Qi Redon, Quentin Mittal, Nehal Satoor, Tanish Lopes, Raphael Nascimbene, Sylvain |
| contents | 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 $D > 3$. 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. 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 $D\leq3$. Our work opens to the investigation of strongly-correlated topological liquids in 4D generalizing fractional quantum Hall states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_06322 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Realization of an atomic quantum Hall system in four dimensions Bouhiron, Jean-Baptiste Fabre, Aurélien Liu, Qi Redon, Quentin Mittal, Nehal Satoor, Tanish Lopes, Raphael Nascimbene, Sylvain Quantum Gases Mesoscale and Nanoscale Physics Quantum Physics 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 $D > 3$. 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. 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 $D\leq3$. Our work opens to the investigation of strongly-correlated topological liquids in 4D generalizing fractional quantum Hall states. |
| title | Realization of an atomic quantum Hall system in four dimensions |
| topic | Quantum Gases Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2210.06322 |