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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.11885 |
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| _version_ | 1866913925631574016 |
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| author | Cheng, Dali Wang, Heming Roques-Carmes, Charles Zhong, Janet Fan, Shanhui |
| author_facet | Cheng, Dali Wang, Heming Roques-Carmes, Charles Zhong, Janet Fan, Shanhui |
| contents | In spaces of three or more dimensions, there exists topological physics of significant richness that has no lower-dimensional counterparts. To experimentally explore high-dimensional physics, it is advantageous to augment the physical space with synthetic dimensions. An emerging approach is to use a single modulated photonic ring resonator to form multiple synthetic frequency dimensions. However, all the high-dimensional Hamiltonians experimentally demonstrated in this approach are topologically trivial. Here we propose a general scheme to create high-dimensional topological physics using multiple synthetic frequency dimensions in a single ring resonator. This scheme utilizes specifically designed mode-selective modulations and mode conversions to create non-trivial topology. As examples, we numerically demonstrate a three-dimensional, two-band model exhibiting Weyl points and topological insulator phases, and a five-dimensional, four-band model exhibiting Yang monopoles and Weyl surfaces. Our results will facilitate the experimental studies and future applications of topological physics in high dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11885 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Creating high-dimensional topological physics using a single ring resonator Cheng, Dali Wang, Heming Roques-Carmes, Charles Zhong, Janet Fan, Shanhui Optics Other Condensed Matter In spaces of three or more dimensions, there exists topological physics of significant richness that has no lower-dimensional counterparts. To experimentally explore high-dimensional physics, it is advantageous to augment the physical space with synthetic dimensions. An emerging approach is to use a single modulated photonic ring resonator to form multiple synthetic frequency dimensions. However, all the high-dimensional Hamiltonians experimentally demonstrated in this approach are topologically trivial. Here we propose a general scheme to create high-dimensional topological physics using multiple synthetic frequency dimensions in a single ring resonator. This scheme utilizes specifically designed mode-selective modulations and mode conversions to create non-trivial topology. As examples, we numerically demonstrate a three-dimensional, two-band model exhibiting Weyl points and topological insulator phases, and a five-dimensional, four-band model exhibiting Yang monopoles and Weyl surfaces. Our results will facilitate the experimental studies and future applications of topological physics in high dimensions. |
| title | Creating high-dimensional topological physics using a single ring resonator |
| topic | Optics Other Condensed Matter |
| url | https://arxiv.org/abs/2503.11885 |