We propose an experimental scheme to simulate the dynamical quantum Hall effect and the related interaction-induced topological transition with a superconducting-qubit array. We show that a one-dimensional Heisenberg model with tunable parameters can be realized in an array of superconducting qubits. The quantized plateaus, which is a feature of the dynamical quantum Hall effect, will emerge in the Berry curvature of the superconducting qubits as a function of the coupling strength between nearest neighbor qubits. We numerically calculate the Berry curvatures of two-, four- and six-qubit arrays, and find that the interaction-induced topological transition can be easily observed with the simplest two-qubit array. Furthermore, we analyze some practical conditions in typical experiments for observing such dynamical quantum Hall effect.
@article{arxiv.1412.3192,
title = {Simulating dynamical quantum Hall effect with superconducting qubits},
author = {Xu-Chen Yang and Dan-Wei Zhang and Peng Xu and Yang Yu and Shi-Liang Zhu},
journal= {arXiv preprint arXiv:1412.3192},
year = {2015}
}