论文标题
量子系统浴动力学模拟中浴缸计算的快速算法
Fast Algorithms of Bath Calculations in Simulations of Quantum System-Bath Dynamics
论文作者
论文摘要
我们为Dyson系列的总结和Inch虫蒙特卡洛方法提供了快速算法，用于与谐波浴的量子系统。该算法基于发展最昂贵的部分的不断变化方程，其中最昂贵的部分来自浴场影响功能的计算。为了加速计算，我们基于在以前的时间步骤中计算的浴缸影响功能来设计快速算法，以减少计算数量。事实证明，提议的快速算法将此类计算的数量减少了$ O（n）$，其中$ n $是时间步长的总数。进行数值实验以显示该方法的效率并验证理论结果。
We present fast algorithms for the summation of Dyson series and the inchworm Monte Carlo method for quantum systems that are coupled with harmonic baths. The algorithms are based on evolving the integro-differential equations where the most expensive part comes from the computation of bath influence functionals. To accelerate the computation, we design fast algorithms based on reusing the bath influence functionals computed in the previous time steps to reduce the number of calculations. It is proven that the proposed fast algorithms reduce the number of such calculations by a factor of $O(N)$, where $N$ is the total number of time steps. Numerical experiments are carried out to show the efficiency of the method and to verify the theoretical results.
