论文标题
拓扑超导系统中的第二个Chern编号和非亚伯浆果阶段
Second Chern Number and Non-Abelian Berry Phase in Topological Superconducting Systems
论文作者
论文摘要
拓扑最终揭示了在复杂系统中观察到的完美量化的根源。 2D量子厅效应是著名的原型。值得注意的是，即使在较高维度的空间中，拓扑也可以表现出来，在高维空间中，控制参数起着额外的合成维度的作用。但是，到目前为止，已经提出了高维拓扑系统的实施非常有限的，一个值得注意的例子是所谓的4D量子厅效应。在这里，我们表明，介观超导系统可以实施更高维的拓扑结构，并代表了一个强大的平台，用于研究具有纯粹非平凡的第二个Chern数量的量子系统。我们证明了设计的微波光谱中的集成吸收强度被量化，并且整数与第二个Chern数直接相关。最后，我们表明这些系统也接受了非亚伯浆果阶段。因此，他们还实现了较高维度的拓扑非亚伯系统的启发性范式。
Topology ultimately unveils the roots of the perfect quantization observed in complex systems. The 2D quantum Hall effect is the celebrated archetype. Remarkably, topology can manifest itself even in higher-dimensional spaces in which control parameters play the role of extra, synthetic dimensions. However, so far, a very limited number of implementations of higher-dimensional topological systems have been proposed, a notable example being the so-called 4D quantum Hall effect. Here we show that mesoscopic superconducting systems can implement higher-dimensional topology and represent a formidable platform to study a quantum system with a purely nontrivial second Chern number. We demonstrate that the integrated absorption intensity in designed microwave spectroscopy is quantized and the integer is directly related to the second Chern number. Finally, we show that these systems also admit a non-Abelian Berry phase. Hence, they also realize an enlightening paradigm of topological non-Abelian systems in higher dimensions.
