Strongly coupled Josephson-junction array for simulation of frustrated one-dimensional spin models

Liang-Hui Du; Xingxiang Zhou; Yong-Jian Han; Guang-Can Guo; Zheng-Wei Zhou

doi:10.1103/PhysRevA.86.032302

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Strongly coupled Josephson-junction array for simulation of frustrated one-dimensional spin models

Liang-Hui Du, Xingxiang Zhou, Yong-Jian Han, Guang-Can Guo, Zheng-Wei Zhou

DOI 10.1103/PhysRevA.86.032302 · Physical Review A

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Abstract

We study the capacitance-coupled Josephson-junction array beyond the small-coupling limit. We find that, when the scale of the system is large, its Hamiltonian can be obtained without the small-coupling approximation and the system can be used to simulate strongly frustrated one-dimensional Ising spin problems. To engineer the system Hamiltonian for an ideal theoretical model, we apply a dynamical-decoupling technique to eliminate undesirable couplings in the system. Using a six-site junction array as an example, we numerically evaluate the system to show that it exhibits important characteristics of the frustrated spin model.