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Transmission Properties through a Double Quantum Dot with a Wave Packet

The transmission time and tunneling probability of an electron through a double quantum dot are studied using the transfer matrix technique. The time-dependent Schrödinger equation is applied for a Gaussian wave packet passing through the double quantum dot. The numerical calculations are carried out for a double quantum dot consisting of GaAs/InAs material. We find that the electron tunneling resonance peaks split when the electron transmits through the double quantum dot. The splitting energy increases as the distance between the two quantum dots decreases. The transmission time can be elicited from the temporal evolution of the Gaussian wave packet in the double quantum dot. The transmission time increases quickly as the thickness of the barrier increases. The lifetime of the resonance state is calculated from the temporal evolution of the Gaussian-state at the centers of quantum dots.