Experimental demonstration of topological bounds in quantum metrology
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arXiv
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| Format: | Preprint |
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2022
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| _version_ | 1866915010417000448 |
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| author | Yu, Min Li, Xiangbei Chu, Yaoming Mera, Bruno Ünal, F. Nur Yang, Pengcheng Liu, Yu Goldman, Nathan Cai, Jianming |
| author_facet | Yu, Min Li, Xiangbei Chu, Yaoming Mera, Bruno Ünal, F. Nur Yang, Pengcheng Liu, Yu Goldman, Nathan Cai, Jianming |
| contents | Quantum metrology is deeply connected to quantum geometry, through the fundamental notion of quantum Fisher information. Inspired by advances in topological matter, it was recently suggested that the Berry curvature and Chern numbers of band structures can dictate strict lower bounds on metrological properties, hence establishing a strong connection between topology and quantum metrology. In this work, we provide a first experimental verification of such topological bounds, by performing optimal quantum multi-parameter estimation and achieving the best possible measurement precision. By emulating the band structure of a Chern insulator, we experimentally determine the metrological potential across a topological phase transition, and demonstrate strong enhancement in the topologically non-trivial regime. Our work opens the door to metrological applications empowered by topology, with potential implications for quantum many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_00546 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Experimental demonstration of topological bounds in quantum metrology Yu, Min Li, Xiangbei Chu, Yaoming Mera, Bruno Ünal, F. Nur Yang, Pengcheng Liu, Yu Goldman, Nathan Cai, Jianming Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases Quantum metrology is deeply connected to quantum geometry, through the fundamental notion of quantum Fisher information. Inspired by advances in topological matter, it was recently suggested that the Berry curvature and Chern numbers of band structures can dictate strict lower bounds on metrological properties, hence establishing a strong connection between topology and quantum metrology. In this work, we provide a first experimental verification of such topological bounds, by performing optimal quantum multi-parameter estimation and achieving the best possible measurement precision. By emulating the band structure of a Chern insulator, we experimentally determine the metrological potential across a topological phase transition, and demonstrate strong enhancement in the topologically non-trivial regime. Our work opens the door to metrological applications empowered by topology, with potential implications for quantum many-body systems. |
| title | Experimental demonstration of topological bounds in quantum metrology |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2206.00546 |