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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states

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Author(s):
Malouf, William T. B. [1, 2] ; Goold, John [3] ; Adesso, Gerardo [2] ; Landi, Gabriel T. [1]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo - Brazil
[2] Univ Nottingham, Sch Math Sci, Univ Pk, Nottingham NG7 2RD - England
[3] Trinity Coll Dublin, Sch Phys, Dublin 2 - Ireland
Total Affiliations: 3
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 53, n. 30 JUL 31 2020.
Web of Science Citations: 0
Abstract

The conditional mutual information (CMI) I(A : C vertical bar B) quantifies the amount of correlations shared between A and C given B. It therefore functions as a more general quantifier of bipartite correlations in multipartite scenarios, playing an important role in the theory of quantum Markov chains. In this paper we carry out a detailed study on the behavior of the CMI in non-equilibrium steady-states (NESS) of a quantum chain placed between two baths at different temperatures. These results are used to shed light on the mechanisms behind ballistic and diffusive transport regimes and how they affect correlations between different parts of a chain. We carry our study for the specific case of a 1D bosonic chain subject to local Lindblad dissipators at the boundaries. In addition, the chain is also subject to self-consistent reservoirs at each site, which are used to tune the transport between ballistic and diffusive. As a result, we find that the CMI is independent of the chain size L in the ballistic regime, but decays algebraically with L in the diffusive case. Finally, we also show how this scaling can be used to discuss the notion of local thermalization in non-equilibrium steady-states. (AU)

FAPESP's process: 17/06323-7 - Irreversibility and entropy production in Gaussian quantum systems
Grantee:William Tiago Batista Malouf
Support Opportunities: Scholarships in Brazil - Master
FAPESP's process: 17/07973-5 - Thermodynamics and information technologies with continuous variable quantum systems
Grantee:Gabriel Teixeira Landi
Support Opportunities: Regular Research Grants
FAPESP's process: 16/08721-7 - Stochastic modeling of non-equilibrium quantum systems
Grantee:Gabriel Teixeira Landi
Support Opportunities: Regular Research Grants
FAPESP's process: 18/08211-4 - Quantum correlations and irreversibility
Grantee:William Tiago Batista Malouf
Support Opportunities: Scholarships abroad - Research Internship - Master's degree