从布洛赫本征态奇点获取陈数
Accessing Chern Numbers From Bloch Eigenstates Singularities
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中文总结 AI 辅助
该研究提出两种基于布洛赫本征态相位涡旋的方法，从光子晶格实验中提取二维绝缘体布洛赫带的陈数，方法对噪声鲁棒且结果精确，其中一种方法适用于经典波系统。
中文摘要 AI 辅助
我们提出两种提取二维绝缘体布洛赫带陈数的方法，并将其应用于光子晶格实验。这两种方法需要布洛赫本征向量的复分量或其比值的信息。与其他依赖近似重建贝里曲率并在布里渊区积分的层析方法不同，我们的方法归结为观测本征态结构中的相位涡旋。这些对实验噪声具有鲁棒性的测量能产生精确的量子化值。其中一种方法利用了本征模的非归一化特性，使其尤其适用于经典波系统。
英文摘要
We propose two methods to extract the Chern numbers of the Bloch bands of a two dimensional insulator, and apply them to a photonic lattice experiment. These two methods require the knowledge of the complex-valued components of the Bloch eigenvectors, or their ratios. Unlike other tomography methods relying on the approximate reconstruction of the Berry curvature and its integration over the Brillouin zone, our methods boil down to the observation of phase vorticities in the eigensates structure. Those measurements, robust to experimental noise, yield exactly quantized values. One of the two methods exploits the non-normalization of the eigenmodes, making it particularly relevant for classical wave systems.
