Electron Confinement study in a double quantum dot by means of Shannon Entropy Information

Abstract

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, $S_r$, in the space of momentum, $S_p$, and the total entropy, $S_t=S_r+S_p$. We obtain $S_r$, $S_p$ and $S_t$ as a function of the parameters $A_2$ and $k$ which rules the height and the width, respectively, of the internal barrier of the confinement potential. We conjecture that the entropy $S_r$ maps the degeneracy of states when we vary $A_2$ and also is an indicator of the level of decoupling/coupling of the double quantum dot. We study the quantities $S_r$ and $S_p$ as measures of delocalization/localization of the probability distribution. Furthermore, we analyze the behaviors of the quantities $S_p$ and $S_t$ as a function of $A_2$ and $k$. Finally, we carried out an energy analysis and, when possible, compared our results with work published in the literature.

Version accepted for publication in Physica B: Condensed Matter

References in corpus (12)

• Quantum Computation with Quantum Dots
• Coupled quantum dots as quantum gates
• Shannon entropy: a study of confined hydrogenic-like atoms
• Two-dimensional confined hydrogen: An entropy and complexity approach
• Quantum confinement in an asymmetric double-well potential through energy analysis and information entropic measure
• Coulomb Correlation and Information Entropies in Confined Helium-Like Atoms
• Accuracy of the Hartree-Fock method for Wigner molecules at high magnetic fields
• Oscillating properties of a two-electron quantum dot in the presence of a magnetic field
• 3D two-electron double quantum dot: comparison between the behavior of some physical quantities under two different confinement potentials in the presence of a magnetic field
• Information and quantum theories: an analysis in one-dimensional systems
• Effect of a laser field in the confinement potential of two electrons in a double quantum dot
• On the oscillating properties of a two-electron quantum dot in the presence of a magnetic field

Cited by in corpus (1)

• Informational analysis of the confinement of an electron in an asymmetric double quantum dot