On Markovianity and classicality in multilevel spin–boson models

Chruściński D, Hesabi S, Lonigro D (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Scientific Reports Nature Publishing Group: Open Access Journals - Option B

Book Volume: 13

Article Number: 1518

Journal Issue: 1

DOI: 10.1038/s41598-023-28606-z

Abstract

We provide a detailed discussion about the unitary and reduced evolution induced by family of Hamiltonian models describing a multilevel system, with a ground state and a possibly multilevel excited sector, coupled to a multimode boson field via a rotating-wave interaction. We prove explicitly that the system, in the limit in which the coupling is flat with respect to the boson frequencies, is Markovian under sharp measurements in arbitrary bases; we also find necessary and sufficient conditions under which the process is classical, i.e. its family of multitime joint probability distributions satisfies the Kolmogorov consistency condition, and may thus be equivalently obtained by a classical stochastic process.

Authors with CRIS profile

Davide Lonigro

Involved external institutions

Nicolaus Copernicus University (NCU) / Uniwersytet Mikołaja Kopernika w Toruniu (UMK) PL Poland (PL) University of Bari Aldo Moro / Università degli Studi di Bari Aldo Moro IT Italy (IT)

How to cite

APA:

Chruściński, D., Hesabi, S., & Lonigro, D. (2023). On Markovianity and classicality in multilevel spin–boson models. Scientific Reports, 13(1). https://doi.org/10.1038/s41598-023-28606-z

MLA:

Chruściński, Dariusz, Samaneh Hesabi, and Davide Lonigro. "On Markovianity and classicality in multilevel spin–boson models." Scientific Reports 13.1 (2023).

BibTeX: Download