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arXiv · 1902.03703

On Fermionic walkers interacting with a correlated structured environment

Renaud Raquépas
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Abstract

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

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Renaud Raquépas. 2019-07-18. On Fermionic walkers interacting with a correlated structured environment. https://doi.org/10.1007/s11005-019-01215-6

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