1. High-order topological pumping on a superconducting quantum processor
- Author
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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., and Fan, Heng
- Subjects
Quantum Physics - 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.
- Published
- 2024