Superfluid-Mott-insulator transition in superconducting circuits with weak anharmonicity

TL;DR

This paper theoretically studies how weak anharmonicity in superconducting circuits influences the Mott insulator to superfluid phase transition, providing phase diagrams and insights for quantum simulation implementations.

Contribution

It reveals the significant impact of anharmonicity on the phase diagram and the disappearance of the Mott lobe at zero anharmonicity, advancing understanding of superconducting circuit quantum phases.

Findings

Anharmonicity greatly alters the Mott lobes.

The single excitation Mott lobe vanishes at zero anharmonicity.

Phase diagrams are provided under mean field approximation.

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 analyse 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 become zero. Our results can be used to guide the implementations of quantum simulations using the superconducting circuits, which have nice integrating and flexibility.