Repeated Interaction Quantum Systems: Deterministic and Random
Mathematical Physics
2017-08-23 v1 math.MP
Abstract
This paper gives an overview of recent results concerning the long time dynamics of repeated interaction quantum systems in a deterministic and random framework. We describe the non equilibrium steady states (NESS) such systems display and we present, as a macroscopic consequence, a second law of thermodynamics these NESS give rise to. We also explain in some details the analysis of products of certain random matrices underlying this dynamical problem.
Keywords
Cite
@article{arxiv.0806.0151,
title = {Repeated Interaction Quantum Systems: Deterministic and Random},
author = {Alain Joye},
journal= {arXiv preprint arXiv:0806.0151},
year = {2017}
}
Comments
Plenary talk at QMath 10, Moeciu, Romania, September 10-15, 2007