Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929358844723200 |
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| author | Wang, Jian-Te Liu, Jing-Xin Ding, Hai-Tao He, Peng |
| author_facet | Wang, Jian-Te Liu, Jing-Xin Ding, Hai-Tao He, Peng |
| contents | We propose a feasible scheme to realize a four-band Stiefel-Whitney insultor (SWI) with spin-orbit coupled ultracold atoms in an optical Raman lattice. Four selected spin states are coupled by carefully designed Raman lasers, to generate the desired spin-orbit interactions with spacetime inversion symmetry. We map out a phase diagram with respect to the experimental parameters, where a large topological phase region exists. We further present two distinct detection methods to resolve the non-abelian band topology, in both equilibrium and dynamical ways. The detection relies on the spin textures extracted from the time-of-flight imaging, showing the tomographic signatures in the ground states and long-time averaged patterns on certain submanifold via a bulk-surface duality. Our work paves a realistic way to explore novel real topology with quantum matters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02777 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice Wang, Jian-Te Liu, Jing-Xin Ding, Hai-Tao He, Peng Quantum Gases Mesoscale and Nanoscale Physics We propose a feasible scheme to realize a four-band Stiefel-Whitney insultor (SWI) with spin-orbit coupled ultracold atoms in an optical Raman lattice. Four selected spin states are coupled by carefully designed Raman lasers, to generate the desired spin-orbit interactions with spacetime inversion symmetry. We map out a phase diagram with respect to the experimental parameters, where a large topological phase region exists. We further present two distinct detection methods to resolve the non-abelian band topology, in both equilibrium and dynamical ways. The detection relies on the spin textures extracted from the time-of-flight imaging, showing the tomographic signatures in the ground states and long-time averaged patterns on certain submanifold via a bulk-surface duality. Our work paves a realistic way to explore novel real topology with quantum matters. |
| title | Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice |
| topic | Quantum Gases Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2402.02777 |