Work

Characterization of P-divisibility in two-level open quantum systems

Year: 2025

Type: article

Abstract: We study different characterizations of positive (P) divisibility in two-level open quantum systems whose dynamics are governed by a time-local master equation with time-dependent relaxation rates. In the case of phase-covariant dynamics, necessary and sufficient conditions for the P-divisibility of the dynamical map are given in terms of inequalities on such relaxation rates. We propose a geometric P-divisibility criterion based on the Bloch coordinates. The connection to the Breuer-Laine-Piilo (BLP) measure of non-Markovianity is also established. We show how these results can be extended to a Redfield master equation. As an application of such characterizations, we study the open dynamics of a qubit interacting with a single bosonic mode. More precisely, we characterize the properties of the local map of the qubit generated by its interaction with the bosonic mode, playing the role of an extremely reduced bath. Interesting observations are made, opening perspectives for a deeper physical understanding of complete positive divisibility, P-divisibility, and BLP measure.

Source: Physical Review A

DOI: 10.1103/ngjb-mcnt

Authors: G. Théret, C. Lombard-Latune, D. Sugny

Institutions: Laboratoire Interdisciplinaire Carnot de Bourgogne, Université Bourgogne Europe

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, College of Natural Resources and Sciences, Humboldt State University

Awards: Quantum Control of Bose Einstein Condensates in optical lattices, G3949080900, G4923433144, Efficient quantum control of molecular rotations -- time and controllability