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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2406.07911 |
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| _version_ | 1866909625282985984 |
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| author | Liu, Jing-Xin Wang, Jian-Te Zhu, Shi-Liang |
| author_facet | Liu, Jing-Xin Wang, Jian-Te Zhu, Shi-Liang |
| contents | We develop a lattice model which exhibits topological transitions from $Z_2$ topological insulators to mirror symmetry-protected topological crystalline insulators by introducing additional spin-orbit coupling terms. The topological phase is characterized by the mirror winding number, defined within the mirror symmetry invariant subspace, which ensures the protection of gapless edge states and zero-energy corner states under specific boundary conditions. Additionally, we propose a feasible scheme using ultracold atoms confined in a stacked hexagonal optical lattice with Raman fields to realize the two-dimensional topological crystalline insulators. Detection of the mirror winding number in these systems can be achieved by implementing a simple quench sequence and observing the evolution of the time-of-flight patterns. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_07911 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Proposal for realizing and probing topological crystalline insulators in optical lattices Liu, Jing-Xin Wang, Jian-Te Zhu, Shi-Liang Quantum Gases We develop a lattice model which exhibits topological transitions from $Z_2$ topological insulators to mirror symmetry-protected topological crystalline insulators by introducing additional spin-orbit coupling terms. The topological phase is characterized by the mirror winding number, defined within the mirror symmetry invariant subspace, which ensures the protection of gapless edge states and zero-energy corner states under specific boundary conditions. Additionally, we propose a feasible scheme using ultracold atoms confined in a stacked hexagonal optical lattice with Raman fields to realize the two-dimensional topological crystalline insulators. Detection of the mirror winding number in these systems can be achieved by implementing a simple quench sequence and observing the evolution of the time-of-flight patterns. |
| title | Proposal for realizing and probing topological crystalline insulators in optical lattices |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2406.07911 |