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We propose a novel approach to nonequilibrium real-time dynamics of quantumimpurities models coupled to biased non-interacting leads, such as thoserelevant to quantum transport in nanoscale molecular devices. The method isbased on a Diagrammatic Monte Carlo sampling of the real-time perturbationtheory along the Keldysh contour. We benchmark the method on a non-interactingresonant level model and, as a first non-trivial application, we study zerotemperature non-equilibrium transport through a vibrating molecule.

Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport