Detecting non-Markovianity of quantum evolution via spectra of dynamical maps

TL;DR

This paper introduces spectral analysis of dynamical maps to detect non-Markovian quantum evolution, proposing a spectral entanglement witness and shape-based criteria, supported by illustrative examples.

Contribution

It presents a novel spectral approach and new witnesses for identifying non-Markovianity in quantum dynamics, expanding detection methods.

Findings

Spectral properties effectively indicate non-Markovian behavior.

Dynamical entanglement witness can detect non-Markovianity.

Shape of accessible states serves as a simple non-Markovianity indicator.

Abstract

We provide an analysis on non-Markovian quantum evolution based on the spectral properties of dynamical maps. We introduce the dynamical analog of entanglement witness to detect non-Markovianity and we illustrate its behaviour with several instructive examples. It is shown that for a certain class of dynamical maps the shape of the body of accessible states provides a simple non-Markovianity witness.