Approach to solving spin-boson dynamics via non-Markovian quantum trajectories

TL;DR

This paper introduces a systematic numerical approach for solving non-Markovian quantum dynamics, enabling accurate real-time simulations of complex open quantum systems like the spin-boson model beyond traditional approximations.

Contribution

The authors develop an efficient method to solve non-Markovian quantum state diffusion equations for open systems at arbitrary noise orders and coupling strengths.

Findings

Successfully simulated spin-boson dynamics in strong coupling regime

Achieved accurate results beyond rotating-wave approximation

Demonstrated efficiency of the non-Markovian stochastic Schrödinger equation

Abstract

We develop a systematic and efficient approach for numerically solving the non-Markovian quantum state diffusion equations for open quantum systems coupled to an environment up to arbitrary orders of noises or coupling strengths. As an important application, we consider a real-time simulation of a spin-boson model in a strong coupling regime that is difficult to deal with using conventional methods. We show that the non-Markovian stochastic Schr\"{o}dinger equation can be efficiently implemented as a real--time simulation for this model, so as to give an accurate description of spin-boson dynamics beyond the rotating-wave approximation.