High-harmonic generation and the kicked quantum dots

A new method for the high-order harmonic generation on the quantum dots is proposed. Interaction of the kicking laser field with a single-electron cylindrical quantum dot without and in the presence of an external magnetic field is considered. The finite hard wall model and heterostructured semiconductor quantum dot are assumed in order to provide relation to real system which could be studied in an experiment. In particular, GaAs/AlxGa1-xAs quantum dot is examined throughout the paper. Harmonics to a very high-order are obtained which is significant for the attosecond pulse generation. This result can be explained on the basis of the quantum-confined Stark effect. During the kick, the electron energy is increased and it is associated with the pronounced quantum-confined Stark effect in the energy spectrum. The electron transitions to the inner shells give such harmonic emission as a result. It is shown that the range of the harmonic spectrum is strongly dependent on the pulse duration. The influence of a realistic form of kick present in experiments, as the Gaussian approximation for delta function, to the harmonic emission is examined.