论文标题
红场方程的时间依赖性正规化
A time-dependent regularization of the Redfield equation
论文作者
论文摘要
我们基于替换Kossakowski Matrix的最接近正邻居邻居的替换为Redfield方程的新正规化。与大多数现有方法不同，此过程能够保留Kossakowski矩阵的时间依赖性，从而导致完全积极的分量量子过程。使用恰当可溶的三级开放系统的动力学作为参考，我们表明我们的方法在瞬态演化过程中的性能更好，如果与部分世俗主方程或通用lindblad方程相比。为了使不同的正则化方案之间的比较独立于初始状态，我们基于Choi-Jamiolkowski同构引入了一种新的定量方法。
We introduce a new regularization of the Redfield equation based on a replacement of the Kossakowski matrix with its closest positive semidefinite neighbor. Unlike most of the existing approaches, this procedure is capable of retaining the time dependence of the Kossakowski matrix, leading to a completely positive divisible quantum process. Using the dynamics of an exactly-solvable three-level open system as a reference, we show that our approach performs better during the transient evolution, if compared to other approaches like the partial secular master equation or the universal Lindblad equation. To make the comparison between different regularization schemes independent from the initial states, we introduce a new quantitative approach based on the Choi-Jamiolkowski isomorphism.
