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Transient and steady state currents through dc-biased quantum impurity modelsbeyond the linear response regime are of considerable interest, both from anexperimental and a theoretical point of view. Here we present a new analyticalapproach for the calculation of such currents based on the flow equation method(method of infinitesimal unitary transformations). Specifically, we analyze theAnderson impurity model in its mixed valence regime where the coupling to theleads is switched on suddenly at time $t=0$. We observe the real time buildupof the current until it reaches its steady state limit.

Flow Equation Calculation of Transient and Steady State Currents in the Anderson Impurity Model