The dynamics of qubits coupled to a harmonic oscillator with time-periodic coupling is investigated in the framework of Floquet theory. This system can be used to model nonadiabatic phenomena that require a periodic modulation of the qubit/oscillator coupling. The case of a single qubit coupled to a resonator populated with n = 0, 1 photon is explicitly treated. The time-dependent Schrdinger equation describing the system’s dynamics is solved within the Floquet formalism and compared to a solution obtained with perturbative approaches in the time- and Laplace-domain. Excellent quantitative agreement is found between the analytical and numerical calculations within the Floquet approach, demonstrating the effectiveness of the technique for the study of the dynamical Lamb effect.

在Floquet理论的框架下研究了耦合到具有时间周期耦合的谐振子的量子比特的动力学。该系统可用于建模非绝热现象，该现象需要对量子位/振荡器耦合进行周期性调制。单个量子位耦合到由n = 0构成的谐振器的情况下，将明确处理1个光子。在Floquet形式主义中求解了描述系统动力学的随时间变化的Schrdinger方程，并将其与在时域和Laplace域中用摄动方法获得的解决方案进行了比较。在Floquet方法中，分析计算和数值计算之间发现了极好的定量一致性，证明了该技术对动态羔羊效应研究的有效性。