High-order topological pumping on a superconducting quantum processor
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arXiv
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2024
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| 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 |
| author_facet | 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 |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16070 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | High-order topological pumping on a superconducting quantum processor 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 Quantum Physics 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. |
| title | High-order topological pumping on a superconducting quantum processor |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.16070 |