On Fermionic walkers interacting with a correlated structured environment

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.

arXiv commentv2: typos corrected, two additional references, formatting

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Cited by in corpus (2)

• Markovian Repeated Interaction Quantum Systems
• Fermionic walkers driven out of equilibrium