High-order topological pumping on a superconducting quantum processor
- URL: http://arxiv.org/abs/2402.16070v1
- Date: Sun, 25 Feb 2024 11:43:02 GMT
- Title: High-order topological pumping on a superconducting quantum processor
- Authors: Cheng-Lin Deng, Yu Liu, Yu-Ran Zhang, Xue-Gang Li, Tao Liu, Chi-Tong
Chen, Tong Liu, Cong-Wei Lu, Yong-Yi Wang, Tian-Ming Li, Cai-Ping Fang,
Si-Yun Zhou, Jia-Cheng Song, Yue-Shan Xu, Yang He, Zheng-He Liu, Kai-Xuan
Huang, Zhong-Cheng Xiang, Jie-Ci Wang, Dong-Ning Zheng, Guang-Ming Xue, Kai
Xu, H. F. Yu and Heng Fan
- Abstract summary: 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.
Our work studies the topological properties of high-order topological phases from the dynamical transport picture using superconducting qubits.
- Score: 15.871923530493508
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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