Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
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2019
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通讯作者：
A. Gianfrate;O. Bleu;L. Dominici;V. Ardizzone;M. Giorgi;D. Ballarini;K. West;L. Pfeiffer;D. Solnyshkov;D. Sanvitto;G. Malpuech
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作者：
A. Gianfrate;O. Bleu;L. Dominici;V. Ardizzone;M. Giorgi;D. Ballarini;K. West;L. Pfeiffer;D. Solnyshkov;D. Sanvitto;G. Malpuech
拓扑物理学依赖于哈密顿算符本征态的特定结构。它们的几何被编码在量子几何张量1中，其中包含著名的Berry曲率2（对拓扑物质3至关重要）和量子度量4。后者是越来越多的物理现象的核心，例如平带中的超流性5，轨道磁化率6，7，激子兰姆位移8，以及对异常霍尔效应的非绝热修正6，9。在这里，我们报告的第一个直接测量的Berry曲率和量子度规在一个二维连续介质。所研究的平台是一个平面微腔的极高的精细度，在强耦合制度10。它具有受光子自旋-轨道耦合11影响的混合激子-光子模式（激子-极化激元），这使得出现狄拉克锥12和激子塞曼分裂破坏时间反转对称性。Gianfrate，O. Bleu
Topological Physics relies on the specific structure of the eigenstates of Hamiltonians. Their geometry is encoded in the quantum geometric tensor 1 containing both the celebrated Berry curvature 2, crucial for topological matter 3, and the quantum metric 4. The latter is at the heart of a growing number of physical phenomena such as superfluidity in flat bands 5, orbital magnetic susceptibility 6, 7, exciton Lamb shift 8, and non-adiabatic corrections to the anomalous Hall effect 6, 9. Here, we report the first direct measurement of both Berry curvature and quantum metric in a two-dimensional continuous medium. The studied platform is a planar microcavity of extremely high finesse, in the strong coupling regime 10. It hosts mixed exciton-photon modes (exciton-polaritons) subject to photonic spin-orbit-coupling 11 which makes emerge Dirac cones 12 and exciton Zeeman splitting breaking time-reversal symme∗These authors contributed equally: A. Gianfrate, O. Bleu