本文研究周期梯度磁场作用下，两组分玻色-爱因斯坦凝聚体的动力学演化。研究方法包括在线性情况下的解析分析和非线性情况下的数值模拟。在线性情况下，通过应用旋波近似，随时间演化的系统波函数能够被解析求解。结果表明凝聚体中两个组分的原子在磁场作用下进行拉比振荡，通过调整磁场的梯度和周期能够控制拉比振荡的振幅和振荡周期。在非线性情况下，通过数值求解Gross-Pitaevskii方程发现当非线性较弱时，结果与线性的情况类似。随着非线性强度的增加，系统的共振点发生偏移，基态原子转移到激发态上的比例逐渐下降。本文研究的重点是在共振情况下，通过拉比振荡将基态原子转移到激发态上，从而为进一步研究激发态的动力学特性铺平道路。

We study the dynamical evolution of a two-component Bose-Einstein condensate under a periodic gradient magnetic field. The research methods include analytical analysis in linear regime and numerical simulations in nonlinear regime. In linear regime, the system's wave function, evolving over time, can be analytically solved by applying the rotating wave approximation. The results reveal that the atoms of the two components in the condensate undergo Rabi oscillations under the influence of the magnetic field. By adjusting the gradient and period of the periodic gradient magnetic field, the amplitude and period of the Rabi oscillations can be easily controlled. In the nonlinear regime, we numerically solve the Gross-Pitaevskii equation and find that the results are similar to the linear case when the nonlinearity is weak. However, as the nonlinearity coefficient increases, the resonant points of the system shift, and the proportion of ground state atoms transferred to the excited state gradually decreases. The focus of this study is to, under resonant conditions, transfer ground-state atoms to the excited state through Rabi oscillations. This paves the way for further investigation into the dynamical characteristics of the excited state.