Recent years have seen tremendous progress in the theoretical understanding of quantum systems driven dissipatively by coupling to different baths at their edges. This was possible because of concurrent advances in the models used to represent these systems, the methods employed, and the analysis of the emerging phenomenology. A comprehensive review of these three integrated research directions is given. First provided is an overarching view of the models of boundary-driven open quantum systems, in both the weak- and strong-coupling regimes. This is followed by a review of state-of-the-art analytical and numerical methods that are exact, perturbative, and approximate. Finally, the transport properties of some paradigmatic one-dimensional chains are discussed, with an emphasis on disordered and quasiperiodic systems, the emergence of rectification and negative differential conductance, and the role of phase transitions, and an outlook on further research options is given.

中文翻译：

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非平衡边界驱动的量子系统：模型、方法和属性

近年来，对通过耦合到不同边缘的不同浴来耗散驱动的量子系统的理论理解取得了巨大进展。这是可能的，因为用于表示这些系统的模型、所采用的方法以及对新兴现象学的分析的同时进步。对这三个综合研究方向进行了全面回顾。首先提供了弱耦合和强耦合状态下边界驱动的开放量子系统模型的总体视图。接下来是对最先进的精确、微扰和近似分析和数值方法的回顾。最后，讨论了一些范例一维链的输运性质，重点是无序和准周期系统、整流和负微分电导的出现以及相变的作用，并对进一步的研究方案进行了展望。