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Statistics of quantum transport in the strong-coupling, non-Markovian regime
Non-equilibrium transport properties of quantum systems have recently become experimentally accessible in a number of platforms where accurate measurements of transport dynamics under small temperature or chemical potential bias are performed. We show that the effect of the measurement back-action can be exploited to gain access to the same properties under no-bias conditions. This relationship is general, but becomes most conspicuous in the transient dynamics of open quantum systems under strong coupling to non-Markovian environments. In order to explore this regime, a new simulation method for the generation of full counting statistics of non-Markovian, strong-coupling transport settings has been developed that is expressed in terms of a hierarchy of equations of motion. With this tool we gain access to the relevant observables and instantiate our proposal with the study of thermal conductivity between two baths connected via a few level system.