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Wigner entropy production and heat transport in linear quantum lattices

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Autor(es):
Malouf, William T. B. ; Santos, Jader P. ; Correa, Luis A. ; Paternostro, Mauro ; Landi, Gabriel T.
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW A; v. 99, n. 5, p. 10-pg., 2019-05-06.
Resumo

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)

Processo FAPESP: 17/50304-7 - Entropy production in non-equilibrium quantum processes: from foundations to quantum technologies
Beneficiário:Gabriel Teixeira Landi
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 16/08721-7 - Modelagem estocástica de sistemas quânticos fora do equilíbrio
Beneficiário:Gabriel Teixeira Landi
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 17/06323-7 - Irreversibilidade e produção de entropia em sistemas quânticos Gaussianos
Beneficiário:William Tiago Batista Malouf
Modalidade de apoio: Bolsas no Brasil - Mestrado
Processo FAPESP: 18/08211-4 - Correlações quânticas e irreversibilidade
Beneficiário:William Tiago Batista Malouf
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Mestrado