标题： 用于广义速率算子展开的随机薛定谔方程 显示英文标题

标题： A Stochastic Schrödinger Equation for the Generalized Rate Operator Unravelings

摘要： 随机展开是一种广泛用于求解开放量子系统动力学的工具，其中通过在纯量子态集合上的随机过程的平均来获得精确解。 最近，推导出了广义率算子展开形式，不仅允许对随机实现进行工程设计，而且即使在P可分性被破坏的一些动力学中也可以无需反向跳跃地展开，从而大大提高了模拟效率。 这是可能的，因为展开依赖于一个任意的非线性变换，该变换可以包含记忆效应。 在本工作中，推导了该形式的随机薛定谔方程，包括存在和不存在反向跳跃的情况。 还表明，该方法的失败可以用来见证导致非物理时间演化的主方程，而不管所考虑的具体非线性变换如何。 显示英文摘要

摘要： Stochastic unravelings are a widely used tool to solve open quantum system dynamics, in which the exact solution is obtained via an average over a stochastic process on the set of pure quantum states. Recently, the generalized rate operator unraveling formalism was derived, allowing not only for an engineering of the stochastic realizations, but also to unravel without reverse jumps even for some dynamics in which P-divisibility is violated, thus hugely improving the simulation efficiency. This is possible because the unraveling depend on an arbitrary non-linear transformation which can incorporate the memory effects. In this work, a stochastic Schr\"odinger equation for this formalism is derived, both for cases with and without reverse jumps. It is also shown that a failure of this method can be used to witness master equations leading unphysical time evolutions, independently on the particular non-linear transformation considered.