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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.)

Wigner entropy production and heat transport in linear quantum lattices

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Author(s):
Malouf, William T. B. [1, 2, 3] ; Santos, Jader P. [1] ; Correa, Luis A. [2, 3] ; Paternostro, Mauro [4] ; Landi, Gabriel T. [1]
Total Authors: 5
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] Univ Nottingham, CQNE, Univ Pk, Nottingham NG7 2RD - England
[4] Queens Univ Belfast, Sch Math & Phys, Ctr Theoret Atom Mol & Opt Phys, Belfast BT7 1NN, Antrim - North Ireland
Total Affiliations: 4
Document type: Journal article
Source: Physical Review A; v. 99, n. 5 MAY 6 2019.
Web of Science Citations: 0
Abstract

When a quantum system is coupled to several heat baths at different temperatures, it eventually reaches a nonequilibrium steady state featuring stationary internal heat currents. These currents imply that entropy is continually being produced in the system at a constant rate. In this paper we apply phase-space techniques to the calculation of the Wigner entropy production on general linear networks of harmonic nodes. Working in the ubiquitous limit of weak internal coupling and weak dissipation, we obtain simple closed-form expressions for the entropic contribution of each individual quasiprobability current. Our analysis highlights the essential role played by the internal unitary interactions (node-node couplings) in maintaining a nonequilibrium steady state and hence a finite entropy production rate. We also apply this formalism to the paradigmatic problem of energy transfer through a chain of oscillators subject to self-consistent internal baths that can be used to tune the transport from ballistic to diffusive. We find that the entropy production scales with different power law behaviors in the ballistic and diffusive regimes, hence allowing us to quantify what is the ``entropic cost of diffusivity.{''} (AU)

FAPESP's process: 17/50304-7 - Entropy production in non-equilibrium quantum processes: from foundations to quantum technologies
Grantee:Gabriel Teixeira Landi
Support type: Regular Research Grants
FAPESP's process: 17/06323-7 - Irreversibility and entropy production in Gaussian quantum systems
Grantee:William Tiago Batista Malouf
Support type: Scholarships in Brazil - Master
FAPESP's process: 16/08721-7 - Stochastic modeling of non-equilibrium quantum systems
Grantee:Gabriel Teixeira Landi
Support type: Regular Research Grants
FAPESP's process: 18/08211-4 - Quantum correlations and irreversibility
Grantee:William Tiago Batista Malouf
Support type: Scholarships abroad - Research Internship - Master's degree