English

On Fermionic walkers interacting with a correlated structured environment

Mathematical Physics 2020-01-16 v2 math.MP Quantum Physics

Abstract

We study the large-time behaviour of a sample S\mathcal{S} consisting of an ensemble of fermionic walkers on a graph interacting with a structured infinite reservoir of fermions E\mathcal{E} through an exchange of particles in preferred states. We describe the asymptotic state of S\mathcal{S} in terms the initial state of E\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.

Keywords

Cite

@article{arxiv.1902.03703,
  title  = {On Fermionic walkers interacting with a correlated structured environment},
  author = {Renaud Raquépas},
  journal= {arXiv preprint arXiv:1902.03703},
  year   = {2020}
}

Comments

v2: typos corrected, two additional references, formatting

R2 v1 2026-06-23T07:37:12.179Z