Electron confinement study in a double quantum dot by means of Shannon entropy information

In this work, we use the Shannon informational entropies to study an electron confined in a double quantum dot; we mean the entropy in the space of positions, Sr, in the space of momentum, Sp, and the total entropy, St = Sr + Sp. We obtain Sr, Sp and St as a function of the parameters A2 and k which rules the height and the width, respectively, of the internal barrier of the confinement potential. We conjecture that the entropy Sr maps the degeneracy of states when we vary A2 and also is an indicator of the level of decoupling/coupling of the double quantum dot. We study the quantities Sr and Sp as measures of delocalization/localization of the probability distribution. Furthermore, we analyze the behaviors of the quantities Sp and St as a function of A2 and k. Finally, we carried out an energy analysis and, when possible, compared our results with work published in the literature.