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We investigate the time-dependent transport properties of single and doublequantum-impurity systems based on the hierarchical equations of motion (HEOM)approach. In the Kondo regime, the dynamical current in both cases is foundoscillating due to the temporal coherence of electrons tunneling through thedevice, which shares the same mechanism as the single-level resonance withoute-e interactions but shows some different characteristics. For singlequantum-impurity systems, the temperature T plays an inhibitory action to theoscillations of dynamic current through its suppression to the Kondo effects.The amplitude of the current oscillations is attenuated by the e-e interaction$U$ in the Kondo regime. The frequency of the current oscillation is foundalmost independent of T and U. For parallel-coupling double quantum-impuritysystems, the oscillation of the current shows similar behaviors to the singleone, but with two-to-three times larger amplitudes. At the limit of smallinter-impurity coupling the oscillation of the current exhibits enhancedcharacters while it is weakened at the other limit.

Time-Dependent Transport Through Quantum-Impurity Systems with Kondo Resonance