Global view on the electronic properties of two-electron anisotropic quantum dots

A detailed investigation of the effects of the interaction and anisotropy on the electronic structure and dynamical properties of two-electron quantum dots is performed. Quantum manifestations such as level clustering and avoided crossings dominate the spectra of the interacting system and show an intriguing interplay for the various configurations of the confinement. For two particular cases the system is integrable. At ${\omega }_y:{\omega }_x=2:1\mathrm{}$ remarkable spectral properties (such as singlet-triplet degeneracies) originate from the combined symmetries of the system. A statistical analysis of the fluctuation properties of the energy levels for mixed phase space reveals major deviations from the standard predictions. The structure of the energy-level spacings is analyzed in detail and shows unique characteristics for several cases. For very strong anisotropies, i.e., for the wirelike limit, the dynamical properties comprise the complete regime from softly interacting to kicked oscillators while the quantum counterpart exhibits intriguing patterns in the spectral sequence of level spacings.