Superfluid–Mott-insulator transition in superconducting circuits with weak anharmonicity
Li-Li Zheng, Ke-Min Li, Xin-You Lü, Ying Wu
DOI 10.1103/PhysRevA.96.053809 · Physical Review A
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Abstract
We investigate theoretically the ground-state property of a two-dimensional array of superconducting circuits including the on-site superconducting qubits (SQs) with weak anharmonicity. In particular, we analyze the influence of this anharmonicity on the Mott-insulator to superfluid quantum phase transition. The complete ground-state phase diagrams are presented under the mean-field approximation. Interestingly, the anharmonicity of SQs affects the Mott lobes enormously, and the single excitation Mott lobe disappears when the anharmonicity becomes zero. Our results can be used to guide the implementations of quantum simulations using the superconducting circuits, which have nice integrating and flexibility.
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