Heat flux in general quasifree fermionic right mover/left mover systems
Abstract
With the help of timedependent scattering theory on the observable algebra of infinitely extended quasifree fermionic chains, we introduce a general class of socalled right mover/left mover states which are inspired by the nonequilibrium steady states for the prototypical nonequilibrium configuration of a finite sample coupled to two thermal reservoirs at different temperatures. Under the assumption of spatial translation invariance, we relate the 2point operator of such a right mover/left mover state to the asymptotic velocity of the system and prove that the system is thermodynamically nontrivial in the sense that its entropy production rate is strictly positive. Our study of these not necessarily gaugeinvariant systems covers and substantially generalizes wellknown quasifree fermionic chains and opens the way for a more systematic analysis of the heat flux in such systems.
 Publication:

Reviews in Mathematical Physics
 Pub Date:
 2021
 DOI:
 10.1142/S0129055X21500185
 arXiv:
 arXiv:2103.03320
 Bibcode:
 2021RvMaP..3350018A
 Keywords:

 Open systems;
 nonequilibrium quantum statistical mechanics;
 quasifree fermions;
 Hilbert space scattering theory;
 right mover/left mover state;
 nonequilibrium steady state;
 heat flux;
 entropy production;
 Mathematical Physics;
 Condensed Matter  Statistical Mechanics;
 46L60;
 47B15;
 82C10;
 82C23
 EPrint:
 81 pages, 2 figures