Two-electron anisotropic quantum dots

A detailed investigation of the effects of interaction and anisotropy in the electronic structure and dynamical properties of two-electron quantum dots is performed. It is shown that a small anisotropy eliminates the shell structure and represents a rapid path to chaos. The level clustering, energy gaps and the accompanying classical dynamics are investigated among others for the frequency ratios omega(y) : omega(x) = n : 1. For n = 2 the system is integrable and the corresponding constant of motion is constructed. The eigenstates pair in singlet-triplet degenerate subspaces. In between these ratios avoided crossings dominate the spectra. For very strong anisotropies, the classical dot comprises the complete regime from softly interacting to kicked oscillators. Its quantum counterpart shows remarkable spectral patterns.