Coherent transport and dynamical entropy for Fermionic systems
Mathematical Physics
2007-05-23 v1 Statistical Mechanics
math.MP
Abstract
This paper consists in two parts. First we set up a general scheme of local traps in an homogeneous deterministic quantum system. The current of particles caught by the trap is linked to the dynamical behaviour of the trap states. In this way, transport properties in an homogeneous system are related to spectral properties of a coherent dynamics. Next we apply the scheme to a system of Fermions in the one-particle approximation. We obtain in particular lower bounds for the dynamical entropy in terms of the current induced by the trap.
Cite
@article{arxiv.math-ph/0301015,
title = {Coherent transport and dynamical entropy for Fermionic systems},
author = {R. Alicki and M. Fannes and B. Haegeman and D. Vanpeteghem},
journal= {arXiv preprint arXiv:math-ph/0301015},
year = {2007}
}
Comments
25 pages, 1 figure