title: Detecting Non-Markovianity of Quantum Evolution via Spectra of Dynamical Maps.
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 behavior with several instructive examples. It is shown that for several important classes of dynamical maps the corresponding evolution of singular values and/or eigenvalues of the map provides a simple non-Markovianity witness.
authors.affiliation: Faculty of Physics, Institute of Physics, Nicolaus Copernicus University, Astronomy and Informatics, Grudziądzka 5/7, 87-100 Toruń, Poland.
authors.forename: Dariusz
authors.initials: D
authors.lastname: Chruściński
authors.affiliation: Dipartimento di Fisica and INFN-Sezione di Pavia, via A. Bassi 6, I-27100 Pavia, Italy.
authors.forename: Chiara
authors.initials: C
authors.lastname: Macchiavello
authors.affiliation: Department of Physics and Astronomy, University of Turku, 20014 Turku, Finland.|Department of Applied Physics, School of Science, Aalto University, P.O. Box 11000, FIN-00076 Aalto, Finland.
authors.forename: Sabrina
authors.initials: S
authors.lastname: Maniscalco