Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.00899 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913816143462400 |
|---|---|
| author | Liu, Zhiyuan Yao, Wanchao Li, Sai Li, Yi Li, Yue Xue, Zheng-Yuan Lin, Yiheng |
| author_facet | Liu, Zhiyuan Yao, Wanchao Li, Sai Li, Yi Li, Yue Xue, Zheng-Yuan Lin, Yiheng |
| contents | In the lattice system, when the synthetic flux reaches a $π$ phase along a closed loop under the synthetic gauge field, destructive interference occurs and gives rise to the localization phenomenon. This is known as the Aharonov-Bohm (AB) caging effect. It provides a powerful tool for the study of quantum transportation and dynamical effects. In the system where lattice sites possess internal structure and the underlying gauge field is non-Abelian, localization can also occur, forming the non-Abelian AB caging. Here, we propose an experimental scheme to synthesize non-Abelian gauge fields with a single trapped ion by coupling multiple internal levels and Fock states in its motion via laser fields. In contrast to the Abelian AB caging, we numerically observe that the non-Abelian AB caging occurs either when the interference matrix is nilpotent, or when the initial state is specifically set. Our experimental scheme broadens the study of localization phenomena and provides a novel tool for the study of non-Abelian physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00899 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion Liu, Zhiyuan Yao, Wanchao Li, Sai Li, Yi Li, Yue Xue, Zheng-Yuan Lin, Yiheng Quantum Physics In the lattice system, when the synthetic flux reaches a $π$ phase along a closed loop under the synthetic gauge field, destructive interference occurs and gives rise to the localization phenomenon. This is known as the Aharonov-Bohm (AB) caging effect. It provides a powerful tool for the study of quantum transportation and dynamical effects. In the system where lattice sites possess internal structure and the underlying gauge field is non-Abelian, localization can also occur, forming the non-Abelian AB caging. Here, we propose an experimental scheme to synthesize non-Abelian gauge fields with a single trapped ion by coupling multiple internal levels and Fock states in its motion via laser fields. In contrast to the Abelian AB caging, we numerically observe that the non-Abelian AB caging occurs either when the interference matrix is nilpotent, or when the initial state is specifically set. Our experimental scheme broadens the study of localization phenomena and provides a novel tool for the study of non-Abelian physics. |
| title | Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.00899 |