A quantum jump description for the non-Markovian dynamics of the spin-boson model

TL;DR

This paper introduces a non-Markovian jump approach to analyze the spin-boson model's dynamics, revealing short-term memory effects and their impact on spin behavior in quantum systems.

Contribution

It develops a new non-Markovian jump framework for the spin-boson model, providing deeper insight into memory effects and their detection in quantum dynamics.

Findings

Decay rates can be temporarily negative, indicating memory effects.

Memory effects are influenced by the cooperative action of different channels.

The approach clarifies how short-term memory impacts spin-boson dynamics.

Abstract

We derive a time-convolutionless master equation for the spin-boson model in the weak coupling limit. The temporarily negative decay rates in the master equation indicate short time memory effects in the dynamics which is explicitly revealed when the dynamics is studied using the non-Markovian jump description. The approach gives new insight into the memory effects influencing the spin dynamics and demonstrates, how for the spin-boson model the the co-operative action of different channels complicates the detection of memory effects in the dynamics.