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We proposed an analytical model to analyze the Landau-Zener interference in a multilevel superconducting flux qubit driven by large-amplitude external fields. Our analytical results agree remarkably well with those of Berns et al. [Nature (London) 455, 51 (2008)]. Moreover, we studied the effect of driving frequency and dephasing rate on the interference. The dephasing generally destroys the interference, while increasing frequency rebuilds the interference at large dephasing rate. At a certain driving frequency and dephasing rate, the interference shows some anomalous features, as observed in recent experiments.
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Wen et al. (2009) studied this question.
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