Electron Confinement study in a double quantum dot by means of Shannon Entropy Information
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| author | Nascimento, Wallas S. Maniero, Angelo M. Prudente, Frederico V. de Carvalho, Carlos R. Jalbert, Ginette |
| author_facet | Nascimento, Wallas S. Maniero, Angelo M. Prudente, Frederico V. de Carvalho, Carlos R. Jalbert, Ginette |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16093 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Electron Confinement study in a double quantum dot by means of Shannon Entropy Information Nascimento, Wallas S. Maniero, Angelo M. Prudente, Frederico V. de Carvalho, Carlos R. Jalbert, Ginette Atomic Physics 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. |
| title | Electron Confinement study in a double quantum dot by means of Shannon Entropy Information |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2312.16093 |