Simulating dynamical quantum Hall effect with superconducting qubits

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.

9 pages, 6 figures, version accepted by PRA

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Cited by in corpus (5)

• Hyperbolic Band Theory under Magnetic Field and Dirac Cones on a Higher Genus Surface
• Symmetry-protected Topological Phases at Finite Temperature
• Experimental observation of topological transitions in interacting multi-spin systems
• Quantum simulation of Abelian Wu-Yang monopoles in spin-1/2 systems
• Simulation of the many-body dynamical quantum Hall effect in an optical lattice