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Time- and Site-Resolved Dynamics in a Topological Circuit

机译：拓扑电路中时间和站点解析的动力学

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From studies of exotic quantum many-body phenomena to applications in spintronics and quantum information processing, topological materials are poised to revolutionize the condensed-matter frontier and the landscape of modern materials science. Accordingly, there is a broad effort to realize topologically nontrivial electronic and photonic materials for fundamental science as well as practical applications. In this work, we demonstrate the first simultaneous site- and time-resolved measurements of a time-reversal-invariant topological band structure, which we realize in a radio-frequency photonic circuit. We control band-structure topology via local permutation of a traveling-wave capacitor-inductor network, increasing robustness by going beyond the tight-binding limit. We observe a gapped density of states consistent with a modified Hofstadter spectrum at a flux per plaquette of ? = π / 2 . In?situ probes of the band gaps reveal spatially localized bulk states and delocalized edge states. Time-resolved measurements reveal dynamical separation of localized edge excitations into spin-polarized currents. The radio-frequency circuit paradigm is naturally compatible with nonlocal coupling schemes, allowing us to implement a M?bius strip topology inaccessible in conventional systems. This room-temperature experiment illuminates the origins of topology in band structure, and when combined with circuit quantum electrodynamics techniques, it provides a direct path to topologically ordered quantum matter.
机译：从对奇异量子多体现象的研究到在自旋电子学和量子信息处理中的应用，拓扑材料都将彻底改变凝聚态边界和现代材料科学的格局。因此，为实现基础科学以及实际应用中的拓扑学上不重要的电子和光子材料，人们进行了广泛的努力。在这项工作中，我们演示了时间反向不变的拓扑带结构的首次同时的现场和时间分辨测量，这是我们在射频光子电路中实现的。我们通过行波电容器-电感器网络的局部排列来控制能带结构拓扑，并通过严格约束的限制来提高鲁棒性。我们观察到，在每块球面通量为？时，与修正的霍夫施塔特谱一致的状态的间隙密度。 =π/ 2。带隙的原位探测揭示了空间局部的本体状态和离域的边缘状态。时间分辨的测量揭示了将局部边缘激励动态分离为自旋极化电流。射频电路范例与非本地耦合方案自然兼容，从而使我们能够实现常规系统中无法访问的Mbius带状拓扑。这项室温实验阐明了能带结构中拓扑的起源，并与电路量子电动力学技术结合使用时，提供了通往拓扑有序量子物质的直接路径。

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