High-order topological pumping on a superconducting quantum processor

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...

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Bibliographic Details
Published in:arXiv.org 2024-02
Main Authors: Cheng-Lin, Deng, Liu, Yu, Yu-Ran, Zhang, Xue-Gang, Li, Liu, Tao, Chi-Tong, Chen, Liu, Tong, Cong-Wei, Lu, Yong-Yi, Wang, Tian-Ming, Li, Cai-Ping, Fang, Si-Yun, Zhou, Jia-Cheng, Song, Yue-Shan, Xu, He, Yang, Zheng-He, Liu, Kai-Xuan Huang, Zhong-Cheng, Xiang, Wang, Jie-Ci, Dong-Ning, Zheng, Guang-Ming Xue, Xu, Kai, Yu, H F, Fan, Heng
Format: Article
Language:English
Subjects:
Adiabatic flow
Lattice vibration
Microprocessors
Onsite
Phases
Pumping
Quadrupoles
Qubits (quantum computing)
Superconductivity
Superlattices
Topology
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Summary: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.
ISSN:2331-8422