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We proposed an analytical model to analyze the Landau-Zener interference in amultilevel superconducting flux qubit driven by large amplitude externalfields. Our analytical results agree remarkably with those of the experiment[Nature 455, 51 (2008)]. Moreover, we studied the effect of driving-frequencyand dephasing rate on the interference. The dephasing generally destroys theinterference while increasing frequency rebuilds the interference at largedephasing rate. At certain driving frequency and dephasing rate, theinterference shows some anomalous features as observed in recent experiments.

Landau-Zener Interference in Multilevel Superconducting Flux Qubits Driven by Large Amplitude Fields