Noise induced Non-Markovianity

TL;DR

This paper investigates how stochastic driving influences non-Markovian behavior in a strongly coupled spin-boson model, revealing that noise can induce and enhance memory effects in quantum dynamics.

Contribution

It provides analytical expressions for non-Markovianity and demonstrates the noise-induced transition from Markovian to non-Markovian dynamics in the model.

Findings

Strong correlation between environmental correlation decay time and non-Markovianity.

Stochastic driving induces non-Markovianity in otherwise Markovian dynamics.

Derived exact analytical expressions for trace distance and non-Markovianity.

Abstract

We have studied the non-Markovianity of dichotomously driven spin-boson model in the strong coupling regime in both memory kernel and time convolutionless master equation formulations. A strong correlation between the decay time of the environmental correlation function and the non-zero non-Markovianity is found in the absence of the external noise. Stochastic driving is shown to create strong non-Markovianity when the dynamics of the system without driving is Markovian. Also, exact analytical expressions for the trace distance distinguishability and the non-Markovianity were obtained for the certain range of the parameters that describe the system and its environment.