fractional-time deformation of quantum coherence in open systems: a non-markovian framework beyond lindblad dynamics

TL;DR

This paper introduces a fractional time extension to the quantum master equation, incorporating fractional derivatives to model long-memory effects and non-Markovian coherence decay in open quantum systems.

Contribution

It presents a novel fractional derivative approach to extend Lindblad dynamics, enabling better modeling of non-Markovian quantum coherence decay.

Findings

Fractional dynamics induce long-memory coherence decay.

The model offers an interpretable framework for non-Markovianity.

Analytical and numerical results validate the approach.

Abstract

In this paper, we propose a fractional time extension of the Quan tum Master Equation. We introduce a Caputo-type fractional derivative in time as an extension of the exponential decay of the Lindblad framework through the incorporation of fractional derivatives into the Lindblad framework. We show that the analytical and numerical results of our analytical and numerical models, demonstrate that fractional dynamics produces long-memory coherence decay naturally and provides an interpretable and flexible model of non-Markovianity.