We consider the exact time-evolution of a broad class of fermionic open quantum systems with both strong interactions and strong coupling to wide-band reservoirs. We present a nontrivial fermionic duality relation between the evolution of states (Schr\"odinger) and of observables (Heisenberg). We show how this highly nonintuitive relation can be understood and exploited in analytical calculations within all canonical approaches to quantum dynamics, covering Kraus measurement operators, the Choi-Jamio{\l}kowski state, time-convolution and convolutionless quantum master equations and generalized Lindblad jump operators. We discuss the insights this offers into the divisibility and causal structure of the dynamics and the application to nonperturbative Markov approximations and their initial-slip corrections. Our results underscore that predictions for fermionic models are already fixed by fundamental principles to a much greater extent than previously thought.

中文翻译：

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费米子二元性：具有强耗散和记忆的开放系统的一般对称性

我们考虑了一类具有强相互作用和强耦合到宽带水库的费米子开放量子系统的精确时间演化。我们提出了状态演化 (Schr\"odinger) 和可观测的演化 (Heisenberg) 之间的非平凡费米子对偶关系。我们展示了如何在量子动力学的所有规范方法中的分析计算中理解和利用这种高度非直观的关系，涵盖克劳斯测量算子、Choi-Jamio{\l}kowski 状态、时间卷积和无卷积量子主方程以及广义 Lindblad 跳跃算子。我们讨论了这对动力学的可分性和因果结构以及在非微扰马尔可夫近似中的应用的见解以及他们的初始滑移修正。