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We investigate the dynamics of a strongly correlated quantum dot system inthe mixed valence regime based on the hierarchical equations of motion (HEOM)approach. The transient and steady state transport properties after a quantumquench from equilibration by rapidly applying a bias voltage in a range oftemperature below and above the Kondo temperature are described. We find thatthe time-dependent current exhibits a linear response behavior for weak biasvoltage and outside of the linear response regime for larger bias voltage dueto the transition of the voltage dependent quantum dot occupancies. Theinfluence of the temperature, finite strongly correlated electron-electroninteraction and energy level of the quantum dot on the nonlinear behavior andsteady state values of current indicating the Kondo physics are explored indetail.

Transient Dynamics of a Quantum-Dot in the Mixed Valence Regime