论文标题

在超导量子队中的高阶拓扑阶段和相关拓扑相变的模拟

Simulation of Higher-Order Topological Phases and Related Topological Phase Transitions in a Superconducting Qubit

论文作者

Niu, Jingjing, Yan, Tongxing, Zhou, Yuxuan, Tao, Ziyu, Li, Xiaole, Liu, Weiyang, Zhang, Libo, Liu, Song, Yan, Zhongbo, Chen, Yuanzhen, Yu, Dapeng

论文摘要

高阶拓扑阶段产生了新的体积和边界物理,以及新的拓扑相变。尽管在许多平台中通过检测存在无间隙边界模式的存在来确认高阶拓扑阶段的实现,但仍缺乏通过实验中的大体来直接确定高阶拓扑和相关拓扑相变。为了弥合差距,在这项工作中,我们在超导量子位中对二维二阶拓扑阶段进行了模拟。由于量子模拟器的灵活性和可控性,我们通过第一次测量伪旋转质地在大块的动量空间中直接观察到高阶拓扑结构,这与先前的实验基于实际空间中的无间隙边界模式的检测,与先前的实验形成鲜明对比。同样,通过测量使用参数的伪旋转纹理的演变,我们进一步观察到了从二阶拓扑阶段到微不足道阶段的新型拓扑相变,以及与非零Chern数字的第一阶拓扑相。我们的工作为研究高阶拓扑阶段和拓扑相变的研究提供了新的启示。

Higher-order topological phases give rise to new bulk and boundary physics, as well as new classes of topological phase transitions. While the realization of higher-order topological phases has been confirmed in many platforms by detecting the existence of gapless boundary modes, a direct determination of the higher-order topology and related topological phase transitions through the bulk in experiments has still been lacking. To bridge the gap, in this work we carry out the simulation of a two-dimensional second-order topological phase in a superconducting qubit. Owing to the great flexibility and controllability of the quantum simulator, we observe the realization of higher-order topology directly through the measurement of the pseudo-spin texture in momentum space of the bulk for the first time, in sharp contrast to previous experiments based on the detection of gapless boundary modes in real space. Also through the measurement of the evolution of pseudo-spin texture with parameters, we further observe novel topological phase transitions from the second-order topological phase to the trivial phase, as well as to the first-order topological phase with nonzero Chern number. Our work sheds new light on the study of higher-order topological phases and topological phase transitions.

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