We develop the 'duality approach', that has been extensively studied for classical models of transport, for quantum systems in contact with a thermal 'Lindbladian' bath. The method provides (a) a mapping of the original model to a simpler one, containing only a few particles and (b) shows that any dynamic process of this kind with generic baths may be mapped onto one with equilibrium baths. We exemplify this through the study of a particular model: the quantum symmetric exclusion process introduced in [D. Bernard, T. Jin, Phys. Rev. Lett. 123, 080601 (2019)]. As in the classical case, the whole construction becomes intelligible by considering the dynamical symmetries of the problem.

中文翻译：

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量子传输模型中的对偶性

我们开发了“对偶方法”，该方法已针对经典传输模型和与热“Lindbladian”浴接触的量子系统进行了广泛研究。该方法提供 (a) 将原始模型映射到仅包含几个粒子的更简单模型，以及 (b) 表明任何具有通用浴的此类动态过程都可以映射到具有平衡浴的模型。我们通过研究特定模型来举例说明这一点：[D. Bernard, T. Jin, Phys. 牧师莱特。123, 080601 (2019)]。与经典情况一样，通过考虑问题的动力学对称性，整个构造变得易于理解。