We investigate the quantum dynamics of a two-level system driven by a bichromatic field, using a nonperturbative analysis. We make special emphasis in the case of two large frequencies, where the Magnus expansion can fail, and in the case of a large and a small frequency, where resonances can dominate. In the first case, we show that two large frequencies can be combined to produce an effective adiabatic evolution. In the second case, we show that high-frequency terms (which naturally arise as corrections to the adiabatic evolution obtained in the first case) can be used to produce a highly tunable adiabatic evolution over the whole Bloch sphere, controlled by multiphoton resonances.

中文翻译：

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从高频双色源设计绝热时间演化

我们使用非摄动分析来研究由双色场驱动的两能级系统的量子动力学。在两个大频率的情况下，我们特别强调马格努斯扩展可能会失败，而在大，小频率的情况下，我们会引起共振。在第一种情况下，我们表明可以将两个大频率组合起来以产生有效的绝热演化。在第二种情况下，我们表明可以使用高频项（自然出现，是对第一种情况下获得的绝热演化的修正），可以在整个Bloch球上产生由多光子共振控制的高度可调的绝热演化。