A Rigorous Scattering Approach to Quasifree Fermionic Systems out of Equilibrium
Résumé
Within the rigorous axiomatic framework for the description of quantum mechanical systems with a large number of degrees of freedom, we construct the so-called nonequi-librium steady state for the quasifree fermionic system corresponding to the isotropic XY chain in which a finite sample, subject to a local gauge breaking anisotropy perturbation, is coupled to two thermal reservoirs at different temperatures. Using time dependent and stationary scattering theory, we rigorously prove, from first principles, that the nonequi-librium system under consideration is thermodynamically nontrivial, i.e., that its entropy production rate is strictly positive. MSC (2010) 46L60, 47A40, 47B15, 82C10, 82C23
Origine : Fichiers produits par l'(les) auteur(s)
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