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arXiv · 1412.3192

Simulating dynamical quantum Hall effect with superconducting qubits

Xu-Chen Yang·Dan-Wei Zhang·Peng Xu·Yang Yu·Shi-Liang Zhu
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Abstract

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.

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Xu-Chen Yang, Dan-Wei Zhang, Peng Xu, Yang Yu, Shi-Liang Zhu. 2015-01-20. Simulating dynamical quantum Hall effect with superconducting qubits. https://doi.org/10.1103/physreva.91.022303

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