Non-Markovian dynamics without using quantum trajectory

TL;DR

This paper introduces a deterministic approach to modeling non-Markovian open quantum systems that avoids quantum trajectories, offering improved efficiency and accuracy over traditional stochastic methods, and extends to generalized Lindblad equations.

Contribution

A novel deterministic method for non-Markovian quantum dynamics that surpasses stochastic approaches in efficiency and accuracy, applicable to generalized Lindblad equations.

Findings

More efficient than stochastic methods

More accurate in both Markovian and non-Markovian regimes

Successfully extended to generalized Lindblad equations

Abstract

Open quantum system interacting with structured environment is important and manifests non- Markovian behavior, which was conventionally studied using quantum trajectory stochastic method. In this paper, by dividing the effects of the environment into two parts, we propose a deterministic method without using quantum trajectory. This method is more efficient and accurate than stochastic method in most Markovian and non-Markovian cases. We also extend this method to the generalized Lindblad master equation.