The emerging field of molecular cavity polaritons has stimulated a surge of experimental and theoretical activities and presents a unique opportunity to develop the many-body simulation methodology. This paper presents a numerical scheme for the extraction of key kinetic information of lossy cavity polaritons based on the transfer tensor method (TTM). Steady state, relaxation timescales, and oscillatory phenomena can all be deduced directly from a set of transfer tensors without the need for long-time simulation. Moreover, we generalize TTM to disordered systems by sampling dynamical maps and achieve fast convergence to disordered-averaged dynamics using a small set of realizations. Together, these techniques provide a toolbox for characterizing the interplay of cavity loss, disorder, and cooperativity in polariton relaxation and allow us to predict unusual dependences on the initial excitation state, photon decay rate, strength of disorder, and the type of cavity models. Thus, using the example of cavity polaritons, we have demonstrated significant potential in the use of the TTM toward both the efficient computation of long-time polariton dynamics and the extraction of crucial kinetic information about polariton relaxation from a small set of short-time trajectories.

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从短时轨迹中提取动力学信息：有损腔极化子的弛豫和紊乱

分子腔极化子的新兴领域刺激了实验和理论活动的激增，并为开发多体模拟方法提供了独特的机会。本文提出了一种基于传递张量法（TTM）提取有损腔极化子关键动力学信息的数值方案。稳态、弛豫时间尺度和振荡现象都可以直接从一组传递张量中推导出来，而不需要长时间的模拟。此外，我们通过对动态图进行采样，将 TTM 推广到无序系统，并使用一小组实现快速收敛到无序平均动态。总之，这些技术提供了一个工具箱，用于表征极化子弛豫中空腔损耗、无序和协同性的相互作用，并使我们能够预测对初始激发态、光子衰变率、无序强度和空腔模型类型的异常依赖性。因此，通过使用空腔极化子的例子，我们展示了使用 TTM 的巨大潜力，既可以有效计算长期极化子动力学，又可以从一小组短时轨迹中提取有关极化子弛豫的关键动力学信息。 。