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Abstract: This paper gives an overview of recent results concerning the long timedynamics of repeated interaction quantum systems in a deterministic and randomframework. We describe the non equilibrium steady states NESS such systemsdisplay and we present, as a macroscopic consequence, a second law ofthermodynamics these NESS give rise to. We also explain in some details theanalysis of products of certain random matrices underlying this dynamicalproblem.



Author: Alain Joye

Source: https://arxiv.org/







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