Harmonically Trapped Two-Electron Quantum Dot: Structural and Quantum Information Theoretic Measures

An explicitly correlated Hylleraas-type basis set within the Ritz variational framework is utilized to study structural properties and quantum information theoretic measures of a harmonically trapped two-electron quantum dot having attractive Coulomb impurity at the center. Specifically, we have simulated the influence of the dot parameter (i.e., the force constant 𝐾 describing the trap) on the energy components, inner and outer radius [⟨r<⟩ =  min (r1, r2) and ⟨r>⟩ =  max (r1, r2)], one- and two-electron delta function [ \( \delta \left({\overrightarrow{r}}_1\right) \) and \( \delta \left({\overrightarrow{r}}_{12}\right) \) ] for the ground state of the mentioned system. Additionally, from a knowledge of the wavefunction, we have estimated one-electron radial density, which further renders Shannon entropy, Fisher entropy, Rényi entropy, Tsallis entropy, and Onicescu informational energy. Most of the results are presented here for the first time.