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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/2506.24020 |
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| _version_ | 1866915721641984000 |
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| author | Lee, Kyungmin Yu, Sunkyu Kang, Jiyong Yu, Seungwoo Choi, Wonhyeong Chung, Daun Park, Sumin Kim, Taehyun |
| author_facet | Lee, Kyungmin Yu, Sunkyu Kang, Jiyong Yu, Seungwoo Choi, Wonhyeong Chung, Daun Park, Sumin Kim, Taehyun |
| contents | We investigate topological features in the synthetic Fock-state lattice (FSL) of a single-atom system described by the quantum Rabi model. By diagonalizing the Hamiltonian, we identify a zero-energy defect state localized at a domain wall of the FSL, whose spin polarization is topologically protected. To address the challenge of applying band topology to the FSL, we introduce a physically motivated and directly measurable topological invariant based on phase-space geometry-the phase-space winding number. We show that the Zak phase, computed using a phase-space parameter, is related to the invariant. This quantized geometric phase reflects the spin polarization of the defect state, demonstrating a bulk-boundary correspondence. The resulting phase-space topology reveals the emergence of single-atom dressed states with contrasting properties-topologically protected spin states and driving-tunable bosonic states. Our results establish phase-space topology as a novel framework for exploring topological physics in single-atom synthetic dimensions, uncovering quantum-unique topological protection distinct from classical analogs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_24020 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phase-Space Topology in a Single-Atom Synthetic Dimension Lee, Kyungmin Yu, Sunkyu Kang, Jiyong Yu, Seungwoo Choi, Wonhyeong Chung, Daun Park, Sumin Kim, Taehyun Quantum Physics Atomic Physics We investigate topological features in the synthetic Fock-state lattice (FSL) of a single-atom system described by the quantum Rabi model. By diagonalizing the Hamiltonian, we identify a zero-energy defect state localized at a domain wall of the FSL, whose spin polarization is topologically protected. To address the challenge of applying band topology to the FSL, we introduce a physically motivated and directly measurable topological invariant based on phase-space geometry-the phase-space winding number. We show that the Zak phase, computed using a phase-space parameter, is related to the invariant. This quantized geometric phase reflects the spin polarization of the defect state, demonstrating a bulk-boundary correspondence. The resulting phase-space topology reveals the emergence of single-atom dressed states with contrasting properties-topologically protected spin states and driving-tunable bosonic states. Our results establish phase-space topology as a novel framework for exploring topological physics in single-atom synthetic dimensions, uncovering quantum-unique topological protection distinct from classical analogs. |
| title | Phase-Space Topology in a Single-Atom Synthetic Dimension |
| topic | Quantum Physics Atomic Physics |
| url | https://arxiv.org/abs/2506.24020 |