论文标题
使用精确的lindblad主方程改进了动态量子系统的建模
Improved modeling of dynamic quantum systems using exact Lindblad master equations
论文作者
论文摘要
在不正确的统计假设下得出了最初用于磁共振的相干演化与化学交换之间相互作用的理论描述,后来又应用于其他光谱方案。纠正这些假设提供了对交换交互的确切形式的访问,我们在Lindblad Master方程式形式上得出了一般性。相互作用的确切形式仅与传统方程式不同,该方程是通过高阶相互作用得出的标量校正因子,并定期提高解决方案收敛的半径(因此,计算中的允许步骤大小增加了允许的步骤大小),最多可以提高一个数量级,而无需额外的计算成本。
The theoretical description of the interplay between coherent evolution and chemical exchange, originally developed for magnetic resonance and later applied to other spectroscopic regimes, was derived under incorrect statistical assumptions. Correcting these assumptions provides access to the exact form of the exchange interaction, which we derive within the Lindblad master equation formalism for generality. The exact form of the interaction is only different from the traditional equation by a scalar correction factor derived from higher-order interactions and regularly improves the radius of convergence of the solution (hence increasing the allowable step size in calculations) by up to an order of magnitude for no additional computational cost.