Modulation of energy levels, wave functions and dynamics of 2-D one electron quantum dots: Influence of size

We explore the modulation of energy levels, wave functions and the dynamics of harmonically confined single electron quantum dots as a function of dot size. The system of interest is a 2-D system in the presence of a perpendicular magnetic field and anharmonic perturbations. We show that for given strengths of the confining potentials, descriptors like level spacing distribution and probability density reveal significant dependence on dot size. The pattern of time evolution of eigenstates of the unperturbed system is also analyzed when an external time varying electric field is switched on. The system reveals a long-time dynamics that leads to a kind of localization in the unperturbed state space. The dynamical features are also found to be size dependent. The presence of cubic anharmonicity in the confining field brings in new features in the dynamics.