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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.17977 |
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| _version_ | 1866918509085196288 |
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| author | Wang, Zhe Zhu, Yan-Qing Tan, Xinsheng Palumbo, Giandomenico Ji, Lichang Xin, Wei Zhu, Shi-Liang Yu, Yang |
| author_facet | Wang, Zhe Zhu, Yan-Qing Tan, Xinsheng Palumbo, Giandomenico Ji, Lichang Xin, Wei Zhu, Shi-Liang Yu, Yang |
| contents | We report the theoretical prediction and experimental observation of a new class of four-dimensional (4D) tensor singularities and their three-dimensional (3D) Euler-class descendants, protected by chiral and spacetime inversion symmetries on a superconducting circuit platform. The 4D point-like singularity/monopole, characterized by the Dixmier-Douady class of a real bundle gerbe associated with tensor gauge fields, is observed to evolve into a nodal ring carrying an additional first Euler class charge under symmetry-preserving perturbations. Dimensional reduction reveals 3D Euler and Euler curvature dipoles, exhibiting nontrivial Euler topology and a topological sum rule that ensures zero-energy flat bands inherit nontrivial topology even without interactions. Crucially, these high-dimensional degenerate systems are mapped and reconstructed using a hybrid analog-digital protocol designed for non-Abelian quantum geometry measurement within a superconducting qubit array. Our work not only expands the family of topological monopoles but also establishes a robust experimental framework for exploring high-order gauge theory and real-bundle topology across diverse quantum platforms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17977 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Probing Tensor Singularities and Their Euler-Class Descendants via Non-Abelian Quantum Geometry Measurement Wang, Zhe Zhu, Yan-Qing Tan, Xinsheng Palumbo, Giandomenico Ji, Lichang Xin, Wei Zhu, Shi-Liang Yu, Yang Quantum Physics Superconductivity We report the theoretical prediction and experimental observation of a new class of four-dimensional (4D) tensor singularities and their three-dimensional (3D) Euler-class descendants, protected by chiral and spacetime inversion symmetries on a superconducting circuit platform. The 4D point-like singularity/monopole, characterized by the Dixmier-Douady class of a real bundle gerbe associated with tensor gauge fields, is observed to evolve into a nodal ring carrying an additional first Euler class charge under symmetry-preserving perturbations. Dimensional reduction reveals 3D Euler and Euler curvature dipoles, exhibiting nontrivial Euler topology and a topological sum rule that ensures zero-energy flat bands inherit nontrivial topology even without interactions. Crucially, these high-dimensional degenerate systems are mapped and reconstructed using a hybrid analog-digital protocol designed for non-Abelian quantum geometry measurement within a superconducting qubit array. Our work not only expands the family of topological monopoles but also establishes a robust experimental framework for exploring high-order gauge theory and real-bundle topology across diverse quantum platforms. |
| title | Probing Tensor Singularities and Their Euler-Class Descendants via Non-Abelian Quantum Geometry Measurement |
| topic | Quantum Physics Superconductivity |
| url | https://arxiv.org/abs/2605.17977 |