%0 Journal Article
%T Reconciliation of quantum local master equations with thermodynamics
%+ Queen's University [Belfast] (QUB)
%+ Universidade de São Paulo = University of São Paulo (USP)
%+ Universitad de Buenos Aires = University of Buenos Aires [Argentina]
%+ Laboratoire Charles Coulomb (L2C)
%+ Théorie du rayonnement matière et phénomènes quantiques
%A Gabriele, de Chiara
%A Gabriel, Landi
%A Adam, Hewgill
%A Brendan, Reid
%A Alessandro, Ferraro
%A Augusto, Roncaglia
%A Antezza, Mauro
%< avec comité de lecture
%Z L2C:18-235
%@ 1367-2630
%J New Journal of Physics
%I Institute of Physics: Open Access Journals
%V 20
%P 113024
%8 2018-11-16
%D 2018
%R 10.1088/1367-2630/aaecee
%K open quantum systems
%K quantum thermodynamics
%K master equations
%K quantum harmonic oscillators
%Z Physics [physics]/Quantum Physics [quant-ph]
%Z Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas]
%Z Physics [physics]/Physics [physics]/Atomic and Molecular Clusters [physics.atm-clus]
%Z Physics [physics]/Physics [physics]/Atomic Physics [physics.atom-ph]
%Z Physics [physics]/Physics [physics]/Optics [physics.optics]Journal articles
%X The study of open quantum systems often relies on approximate master equations derived under the assumptions of weak coupling to the environment. However when the system is made of several interacting subsystems such a derivation is in many cases very hard. An alternative method, employed especially in the modeling of transport in mesoscopic systems, consists in using local master equations (LMEs) containing Lindblad operators acting locally only on the corresponding subsystem. It has been shown that this approach however generates inconsistencies with the laws of thermodynamics. In this paper we demonstrate that using a microscopic model of LMEs based on repeated collisions all thermodynamic inconsistencies can be resolved by correctly taking into account the breaking of global detailed balance related to the work cost of maintaining the collisions. We provide examples based on a chain of quantum harmonic oscillators whose ends are connected to thermal reservoirs at different temperatures. We prove that this system behaves precisely as a quantum heat engine or refrigerator, with properties that are fully consistent with basic thermodynamics.
%G English
%2 https://hal.science/hal-01925150/document
%2 https://hal.science/hal-01925150/file/52-NJP_20_113024_2018.pdf
%L hal-01925150
%U https://hal.science/hal-01925150
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021