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Fermionic Walkers Driven Out of Equilibrium

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Abstract

We consider a discrete-time non-Hamiltonian dynamics of a quantum system consisting of a finite sample locally coupled to several bi-infinite reservoirs of fermions with a translation symmetry. In this setup, we compute the asymptotic state, mean fluxes of fermions into the different reservoirs, as well as the mean entropy production rate of the dynamics. Formulas are explicitly expanded to leading order in the strength of the coupling to the reservoirs.

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Acknowledgements

The research of the authors is partially supported by the French National Agency through the Grant NonStops (ANR-17-CE40-0006). The research of S. A. is supported by the French National Research Agency in the framework of the “Investissements d’avenir” program (ANR-15-IDEX-02). The research of R. R. is partially funded by the National Sciences and Engineering Research Council of Canada. The authors would like to thank the anonymous referees for their comments, which improved the quality of the presentation.

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Correspondence to Renaud Raquépas.

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Communicated by Yoshiko Ogata.

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Andréys, S., Joye, A. & Raquépas, R. Fermionic Walkers Driven Out of Equilibrium. J Stat Phys 184, 14 (2021). https://doi.org/10.1007/s10955-021-02795-1

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