AI 中文总结
本研究求解双线性玻色模型的线性海森堡方程，分析一阶系统-浴相干性的影响因素，提出受泄漏消除算子启发的频率调制方法，可抑制激发泄漏并稳定长时间相干性。
AI 中文摘要
我们研究双线性玻色模型中由激发交换诱导的一阶系统-浴相干性的精确动力学。通过求解线性海森堡方程，我们得到系统和浴算符的精确演化，并直接计算系统模式与与其直接耦合的集体浴模式之间的一阶相干性。我们分析该相干性如何依赖于初始占据数、耦合强度、谱宽和失谐，表明其建立和振荡行为与激发交换及储层记忆密切相关。我们进一步研究受泄漏消除算子启发的系统频率调制下的受控相干动力学，结果显示随机调制可抑制激发泄漏，并在长时间内维持有限且相对稳定的相干性波动。这些结果阐明了局域玻色模式与结构化玻色储层耦合场景下一阶系统-浴相干性的演化与控制。
英文摘要
We investigate the exact dynamics of first-order system--bath coherence induced by excitation exchange in bilinear bosonic models. By solving the linear Heisenberg equations, we obtain the exact evolution of system and bath operators and evaluate the first-order coherence between the system mode and the collective bath mode directly coupled to it. We analyze how this coherence depends on initial occupations, coupling strength, spectral width, and detuning, showing that its buildup and oscillatory behavior are closely related to excitation exchange and reservoir memory. We further examine controlled coherence dynamics under leakage-elimination-operator inspired modulation of the system frequency. The results show that random modulation can suppress excitation leakage and maintain finite and relatively stable coherence fluctuations at long times. These results clarify the evolution and control of first-order system--bath coherence in settings where a localized bosonic mode is coupled to a structured bosonic reservoir.
