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The time-dependent transport through a nano-scale device, consisting of asingle spin-degenerate orbital with on-site Coulomb interaction, coupled to twoleads, is investigated. Various gate and bias voltage time-dependences areconsidered. The key and new point lies in the proposed way to avoid thedifficulties of the usual heavy computation when dealing with two time Green'sfunctions within Keldysh formalism. The time-dependent retarded dot Green'sfunctions are evaluated, in an efficient manner within a non-canonical HubbardI approximation. Calculations of the time-dependent current are then presentedin the wide-band limit for different parameter sets. A comparison between themethod and the Hartree-Fock approximation is performed as well. It is shownthat the later cannot account reliably for dynamical aspects of transportphenomena.

A new approach to time-dependent transport through an interacting quantum dot within Keldysh formalism