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arXiv · 1212.5002

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
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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 6-site junction array as an example, we numerically evaluate the system to show that it exhibits important characteristics of the frustrated spin model.

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Liang-Hui Du, Xingxiang Zhou, Yong-Jian Han, Guang-Can Guo, Zheng-Wei Zhou. 2012-12-20. Strongly-coupled Josephson junction array for simulation of frustrated one-dimensional spin models. https://doi.org/10.1103/physreva.86.032302

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