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arXiv 2206.00546quant-phcond-mat.mes-hallcond-mat.quant-gas
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量子计量学中拓扑边界的实验演示

Experimental demonstration of topological bounds in quantum metrology

Min Yu, Xiangbei Li, Yaoming Chu, Bruno Mera, F. Nur Ünal, Pengcheng Yang, Yu Liu, Nathan Goldman, Jianming Cai

AI总结:

本文首次实验验证了量子计量学中由拓扑能带结构决定的精度下界,通过模拟Chern绝缘体并执行最优多参数估计,展示了拓扑非平凡区域中计量学性能的显著增强。

摘要:

量子计量学通过量子Fisher信息这一基本概念与量子几何紧密相连。受拓扑物质研究进展的启发,近期有研究提出,能带结构的Berry曲率和Chern数可以决定计量学性质的严格下界,从而在拓扑与量子计量学之间建立起强有力的联系。在本工作中,我们通过执行最优量子多参数估计并达到最佳测量精度,首次对这类拓扑边界进行了实验验证。通过模拟Chern绝缘体的能带结构,我们实验测定了跨越拓扑相变时的计量学潜力,并展示了在拓扑非平凡区域中的显著增强效应。我们的工作为拓扑赋能的计量学应用打开了大门,并对量子多体系统具有潜在影响。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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