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Article

Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models

by 1,2,3,*, 1,2, 4,5,* and 1,2
1
Dipartimento di Fisica “Aldo Pontremoli”, Università degli Studi di Milano, Via Celoria 16, 20133 Milan, Italy
2
Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, 20133 Milan, Italy
3
International Centre for Theory of Quantum Technologies (ICTQT), University of Gdansk, 80-308 Gdansk, Poland
4
School of Physics, University College Dublin, Belfield, D04 Dublin, Ireland
5
Centre for Quantum Engineering, Science, and Technology, University College Dublin, Belfield, D04 Dublin, Ireland
*
Authors to whom correspondence should be addressed.
Academic Editor: Rosario Lo Franco
Entropy 2022, 24(2), 304; https://doi.org/10.3390/e24020304
Received: 23 January 2022 / Revised: 11 February 2022 / Accepted: 14 February 2022 / Published: 21 February 2022
(This article belongs to the Special Issue Quantum Information Concepts in Open Quantum Systems)
We critically examine the role that correlations established between a system and fragments of its environment play in characterising the ensuing dynamics. We employ a dephasing model with different initial conditions, where the state of the initial environment represents a tunable degree of freedom that qualitatively and quantitatively affects the correlation profiles, but nevertheless results in the same reduced dynamics for the system. We apply recently developed tools for the characterisation of non-Markovianity to carefully assess the role that correlations, as quantified by the (quantum) Jensen–Shannon divergence and relative entropy, as well as changes in the environmental state, play in whether the conditions for classical objectivity within the quantum Darwinism paradigm are met. We demonstrate that for precisely the same non-Markovian reduced dynamics of the system arising from different microscopic models, some exhibit quantum Darwinistic features, while others show that no meaningful notion of classical objectivity is present. Furthermore, our results highlight that the non-Markovian nature of an environment does not a priori prevent a system from redundantly proliferating relevant information, but rather it is the system’s ability to establish the requisite correlations that is the crucial factor in the manifestation of classical objectivity. View Full-Text
Keywords: non-Markovianity; quantum Darwinism; dephasing; correlations; Jensen–Shannon divergence non-Markovianity; quantum Darwinism; dephasing; correlations; Jensen–Shannon divergence
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MDPI and ACS Style

Megier, N.; Smirne, A.; Campbell, S.; Vacchini, B. Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models. Entropy 2022, 24, 304. https://doi.org/10.3390/e24020304

AMA Style

Megier N, Smirne A, Campbell S, Vacchini B. Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models. Entropy. 2022; 24(2):304. https://doi.org/10.3390/e24020304

Chicago/Turabian Style

Megier, Nina, Andrea Smirne, Steve Campbell, and Bassano Vacchini. 2022. "Correlations, Information Backflow, and Objectivity in a Class of Pure Dephasing Models" Entropy 24, no. 2: 304. https://doi.org/10.3390/e24020304

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