학술논문
High-order topological pumping on a superconducting quantum processor
Document Type
Working Paper
Author
Deng, Cheng-Lin; Liu, Yu; Zhang, Yu-Ran; Li, Xue-Gang; Liu, Tao; Chen, Chi-Tong; Liu, Tong; Lu, Cong-Wei; Wang, Yong-Yi; Li, Tian-Ming; Fang, Cai-Ping; Zhou, Si-Yun; Song, Jia-Cheng; Xu, Yue-Shan; He, Yang; Liu, Zheng-He; Huang, Kai-Xuan; Xiang, Zhong-Cheng; Wang, Jie-Ci; Zheng, Dong-Ning; Xue, Guang-Ming; Xu, Kai; Yu, H. F.; Fan, Heng
Source
Subject
Language
Abstract
High-order topological phases of matter refer to the systems of $n$-dimensional bulk with the topology of $m$-th order, exhibiting $(n-m)$-dimensional boundary modes and can be characterized by topological pumping. Here, we experimentally demonstrate two types of second-order topological pumps, forming four 0-dimensional corner localized states on a 4$\times$4 square lattice array of 16 superconducting qubits. The initial ground state of the system for half-filling, as a product of four identical entangled 4-qubit states, is prepared using an adiabatic scheme. During the pumping procedure, we adiabatically modulate the superlattice Bose-Hubbard Hamiltonian by precisely controlling both the hopping strengths and on-site potentials. At the half pumping period, the system evolves to a corner-localized state in a quadrupole configuration. The robustness of the second-order topological pump is also investigated by introducing different on-site disorder. Our work studies the topological properties of high-order topological phases from the dynamical transport picture using superconducting qubits, which would inspire further research on high-order topological phases.