On Fermionic walkers interacting with a correlated structured environment

We study the large-time behaviour of a sample S consisting of an ensemble of fermionic walkers on a graph interacting with a structured infinite reservoir of fermions E through an exchange of particles in preferred states. We describe the asymptotic state of S in terms the initial state of E, with especially simple formulae in the limit of small coupling strength. We also study the particle fluxes into the different parts of the reservoir.

Duke Scholars

Author Renaud Raquépas Mathematics