相互频率失谐的强驱动和弱驱动对二能级系统的联合效应：Rabi 振荡的包络
Combined effect of mutually frequency-detuned strong and weak drives on a two-level system: Envelope of the Rabi oscillations
AI总结：
研究二能级系统在近共振强驱动与频率失谐弱驱动联合作用下的 Rabi 振荡包络现象，揭示了弱驱动引发的共振响应机制及其与 Mathieu 方程的类比关系。
摘要：
作用于二能级系统的近共振 ac 驱动会引起能级占据数的 Rabi 振荡。结果表明，附加的、与主驱动具有适当频率失谐的弱驱动会引起共振响应。该响应表现为振荡包络的出现。在共振时，包络的逆周期与弱驱动的振幅成正比。共振条件为：两个驱动之间的频率差等于强驱动场中准能级的 ac 劈裂。从技术上讲，该共振可以通过对比自旋振幅的时间演化方程与描述参数共振的 Mathieu 方程之间的类比来推断。
英文摘要：
Near-resonant ac-drive acting on a two-level system induces the Rabi oscillations of the level occupations. It is shown that additional weak drive properly frequency-detuned from the primary drive causes a resonant response. This response manifests itself in the emergence of the envelope of the oscillations. At resonance, the inverse period of the envelope is proportional to the amplitude of the weak drive. The resonant condition reads: difference of frequencies between the two drives is equal to the ac-splitting of quasilevels in the field of the strong drive. Technically, the resonance can be inferred from the analogy between the equations for the time-evolution of the spin amplitude and the Mathieu equation, which describes e.g. the parametric resonance.
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