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.

中文翻译：

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费米子步行者被赶出平衡

我们考虑一个量子系统的离散时间非汉密尔顿动力学，该系统由局部耦合到几个具有平移对称性的双无限费米子储库的有限样本组成。在此设置中，我们计算渐近状态、费米子进入不同储层的平均通量，以及动力学的平均熵产生率。公式被明确地扩展到与储层耦合强度的领先顺序。