Entanglement Indicators in Quantum Dots

We calculate spatial entanglement between two electrons trapped in quantum dots for abroad class of confinement potentials with different type and geometry, we make comparison between entanglement content of the system for different cases. The many-body wave function has been calculated by exact diagonalization of the time independent Schrodinger equation. We show that some physical property of the system could by a good entanglement indicator. Entanglement has an inverse correlation with Coulomb interaction energy in some cases, so it can be used as an entanglement indicator. We show that the wave function at a single highly symmetric point is also a good entanglement indicator. We investigate the possibility of finding a general indicator that will be common for all cases. We study the effect of internal nanostructure parameters and the external fields on entanglement property in systems with different confinement potential type and geometry. This property may be used to tailor nanostructures according to the level of entanglement required by a specific application.