Excitation and ionization of a particle in a double quantum well by an extremely short light pulse

The excitation and ionization of a particle in a double one-dimensional quantum well excited by an extremely short light pulse is considered theoretically. In the sudden perturbation approximation, analytical expressions for the population of bound states and the probability of ionization of the particle are obtained when the pulse duration is shorter than the characteristic time associated with the energy of the ground state of the particle. It is shown that the population of bound states and the ionization probability are determined by the ratio of the electrical area of the pulse to the value of its atomic scale, which is inversely proportional to the characteristic size of the system in the ground state. The results obtained demonstrate the possibility of controlling the ultrafast dynamics of electrons in heterostructures based on double quantum wells.