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arXiv · 2312.16093

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

Wallas S. Nascimento·Angelo M. Maniero·Frederico V. Prudente·Carlos R. de Carvalho·Ginette Jalbert
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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.

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Wallas S. Nascimento, Angelo M. Maniero, Frederico V. Prudente, Carlos R. de Carvalho, Ginette Jalbert. 2023-12-26. Electron Confinement study in a double quantum dot by means of Shannon Entropy Information. https://doi.org/10.1016/j.physb.2024.415692

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