标题： 控制驱动非线性参量振荡器中量子涨落的影响 显示英文标题

标题： Controlling the effect of quantum fluctuations in a driven nonlinear parametric oscillator

摘要： 本研究探讨了高频外部强迫与量子非线性参激振子固有动力学之间的相互作用。为了分析该系统，推导并利用适当的截断方案和Blekhman摄动方法求解了量子算符平均值的经典运动方程。观察到，通过快速的外部周期强迫，可以在参激共振区内调制量子涨落和振荡幅度。此外，系统地探索了驱动强度对整个系统动力学的影响。最后，通过数值模拟验证了理论预测，确立了所开发框架的可靠性。 显示英文摘要

摘要： This study investigates the interplay between a high-frequency external forcing and the intrinsic dynamics of a quantum nonlinear parametric oscillator. To analyze this system, classical equations of motion of the averages of quantum operators are derived and solved by employing suitable truncation schemes and the Blekhman perturbation method. It is observed that quantum fluctuations and oscillation amplitudes within the parametric resonance zone can be modulated through the fast external periodic forcing. Moreover, the influence of the strength of driving on the overall system dynamics is systematically explored. Finally, the theoretical predictions are validated through numerical simulations, establishing the reliability of the developed framework.