标题： 量子Langevin方程在时间依赖系统-浴耦合下的精确处理通过一系列 delta 分布实现 显示英文标题

标题： Exact treatment of the quantum Langevin equation under time-dependent system-bath coupling via a train of delta distributions

摘要： 本文中，我们考虑了具有任意时间依赖耦合常数的Caldeira-Leggett模型的量子朗之万方程。我们通过使用一系列狄拉克-delta函数切换来精确求解此方程。这种方法还使我们能够可视化环境中的记忆效应。此外，我们计算了系统坐标二次式的双时相关函数，并表明离散时间傅里叶变换非常适合定义谱密度，因为狄拉克$\delta$函数切换将连续函数转换为离散样本。 显示英文摘要

摘要： In this paper, we consider the quantum Langevin equation for the Caldeira-Leggett model with an arbitrary time-dependent coupling constant. We solve this equation exactly by employing a train of Dirac-delta switchings. This method also enables us to visualize the memory effect in the environment. Furthermore, we compute the two-time correlation functions of the system's quadratures and show that the discrete-time Fourier transform is well-suited for defining spectral densities, as the Dirac-delta switchings turn continuous functions into discretized samples.