Repeated Interaction Quantum Systems: Deterministic and Random

zbMATH Open1156.82376arXiv0806.0151MaRDI QIDQ3596967

A. Joye

Publication date: 9 February 2009

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.

Full work available at URL: https://arxiv.org/abs/0806.0151

zbMATH Keywords

products of random matricesrepeated interaction quantum systemsnon equilibrium quantum statistical mechanics

Mathematics Subject Classification ID

Random matrices (algebraic aspects) (15B52) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

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DETERMINISM BENEATH COMPOSITE QUANTUM SYSTEMS

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