标题： 扰动开放量子系统的精确稳态 显示英文标题

标题： Exact steady state of perturbed open quantum systems

摘要： 我们提出了一种通用的非微扰方法，用于确定在微扰下的开放量子系统的精确稳态。 该方法适用于具有唯一稳态的系统，微扰可以是时间独立的或周期性的，并且幅度可以任意大。 利用Drazin逆和一次对角化，我们构建了一个算子，该算子生成稳态相对于微扰参数的全部依赖关系。 该方法还允许对参数进行精确的解析运算，如微分、积分和系综平均，即使稳态是通过数值计算得到的也是如此。 我们将该方法应用于三个非平凡的开放量子系统，表明它能够获得精确结果，并且在需要大量采样的计算中，相比之前的方法，计算速度提高了几个数量级。 显示英文摘要

摘要： We present a general non-perturbative method to determine the exact steady state of open quantum systems under perturbation. The method works for systems with a unique steady state and the perturbation may be time-independent or periodic, and of arbitrarily large amplitude. Using the Drazin inverse and a single diagonalization, we construct an operator that generates the entire dependence of the steady state on the perturbation parameter. The approach also enables exact analytic operations-such as differentiation, integration, and ensemble averaging-with respect to the parameter, even when the steady state is computed numerically. We apply the method to three non-trivial open quantum systems, showing that it achieves exact results, with a computational speedup of one to several orders of magnitude for calculations requiring large sampling, compared to previous approaches.