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Faithful simulation and detection of quantum spin Hall effect on superconducting circuits

机译：忠实的模拟和检测量子自旋霍尔效应在超导电路

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摘要

Topological states of quantum matter have inspired both fascinating physics findings and exciting opportunities for applications. Due to the overcomplicated structure of, as well as interactions between, real materials, a faithful quantum simulation of topological matter is very important in deepening our understanding of these states. This requirement puts the quantum superconducting circuits system as a good option for mimicking topological materials, owing to their flexible tunability and fine controllability. As a typical example herein, we realize a Z_2-type topological insulator featuring the quantum spin Hall effect state, using a coupled system of transmission-line resonators and transmons. The single-excitation eigenstates of each unit cell are used as a pseudo-spin 1/2 system. The boundary of the topological phase transition is fixed in the phase diagram. Topological edge states are shown, which can be experimentally verified by detecting the population at the boundary of the plane. Compared with the previous simulations, this compositional system is fairly controllable, stable, and less limited. Therefore, our scheme provides a reliable platform for faithful quantum simulations of topological matter.
机译：拓扑物质的量子状态有启发两个迷人的物理结果和令人兴奋的应用程序的机会。过于复杂的结构,以及之间的相互作用,真实的材料,一个忠实的量子模拟拓扑非常重要重要的加深我们对这些的理解州。超导电路系统作为一个很好的选择模仿拓扑材料,由于其灵活的可调谐性和罚款可控性。实现Z_2-type拓扑绝缘体量子自旋霍尔效应的状态,利用传输线的耦合系统谐振器和transmons。态下的每个单元细胞被用作pseudo-spin 1/2系统。拓扑相变是固定的相图。可以通过检测实验验证人口在平面的边界。与之前的模拟相比,这个组成系统相当可控,稳定,和更少的限制。提供了一个可靠的平台以忠实的量子模拟拓扑。

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