We present a generic, compact formula for the current flowing in interacting and noninteracting systems which are driven out of equilibrium by biased reservoirs described by Lindblad jump operators. We show that, in the limit of high temperature and chemical potential, our formula is equivalent to the well-known Meir-Wingreen formula, which describes the current flowing through a system connected to fermionic baths, therefore bridging the gap between the two formalisms. Our formulation gives a systematic way to address the transport properties of correlated systems strongly driven out of equilibrium. As an illustration, we provide explicit calculations of the current in three cases : (i) a single-site impurity, (ii) a free-fermionic chain, and (iii) a fermionic chain with loss and gain terms along the chain. In this last case, we find that the current across the system has the same behavior for loss or gain terms and depends on the loss/gain rate in a nonmonotonic way.

中文翻译：

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马尔可夫水库驱动系统的通用输运公式

我们为在互作用系统和非互作用系统中流动的电流提供了一个通用的紧凑公式，该电流由Lindblad跳跃算子描述的有偏储集层驱动而失去了平衡。我们表明，在高温和化学势的极限下，我们的公式等效于众所周知的Meir-Wingreen公式，该公式描述了流过与铁离子浴相连的系统的电流，因此弥合了两种形式主义之间的鸿沟。我们的公式提供了系统的方法来解决强烈驱使失去平衡的相关系统的传输特性。作为说明，我们提供了三种情况下电流的显式计算：（i）单点杂质，（ii）自由铁离子链，和（iii）沿链具有损耗和增益项的铁离子链。在这种情况下，