驱动自旋系统中的多光子Raman跃迁和Rabi振荡
Multiphoton Raman transitions and Rabi oscillations in driven spin systems
摘要：
在基于Bogoliubov平均法的非久期微扰理论框架下，研究了振幅调制微波场驱动下自旋二能级系统中多光子Raman跃迁的相干动力学.这些转变的拉比频率的封闭形式的表达式已经获得超出旋转波近似的低频驱动组件。结果表明，在强低频驱动下，由于反共振相互作用引起的类布洛赫-西格特效应，驱动场高频分量修饰的自旋态发生了位移.我们预测，随着拉曼跃迁的阶数的增加，Rabi频率降低，并且Bloch-Siegert位移对该频率的贡献成为主导。研究发现，拉比振荡的振幅和相位强烈地依赖于低频场的初始相位以及与多光子共振的失谐量。本文报道了金刚石中氮空位中心的二阶和三阶喇曼跃迁的最新实验数据[Z。Shu等人，arXiv：1804. [10492]在我们的方法框架中得到了很好的描述。我们的结果为量子系统的相干控制提供了新的可能性。
英文摘要：
In the framework of the non-secular perturbation theory based on the Bogoliubov averaging method, the coherent dynamics of multiphoton Raman transitions in a two-level spin system driven by an amplitude-modulated microwave field is studied. Closed-form expressions for the Rabi frequencies of these transitions have been obtained beyond the rotating wave approximation for the low-frequency driving component. It is shown that spin states dressed by the high-frequency component of the driving field are shifted due to the Bloch-Siegert-like effect caused by antiresonant interactions with the strong low-frequency driving. We predict that with increasing the order of the Raman transition the Rabi frequency decreases and the contribution of the Bloch-Siegert shift to this frequency becomes dominant. It is found that the amplitude and phase of the Rabi oscillations strongly depend on the initial phase of the low-frequency field as well as on detuning from multiphoton resonance. The recent experimental data for the second- and third-order Raman transitions observed for nitrogen-vacancy center in diamond [Z. Shu, et al., arXiv:1804. 10492] are well described in the frame of our approach. Our results provide new possibilities for coherent control of quantum systems.
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