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PreprintCC BY 4.0arXiv

Information-theoretic measures of electron correlation in a double quantum dot

  • W. S. Nascimento
  • A. M. Maniero
  • F. V. Prudente
  • Ginette Jalbert
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Abstract

In this work, we investigated how variations in spatial confinement affect the electron correlation between two electrons in a symmetric double quantum dot. In strong confinement regime, the ground-state energy can be obtained using the Hartree-Fock method neglecting the electron-electron repulsion term. Under a weaker confinement, the FCI method provides a more accurate description. Using the mutual information as a measure of correlation, we determine the confinement regions where electronic motion is uncorrelated. We conjecture that the Shannon entropy can serve as a qualitative guide to to study the electron correlation. We identified an approximately linear relationship between mutual information and relative correlation energy.

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Cite

BibTeXRIS
BibTeX
@misc{nascimento2026informationtheoretic,
  title = {{Information-theoretic measures of electron correlation in a double quantum dot}},
  author = {W. S. Nascimento and A. M. Maniero and F. V. Prudente and Ginette Jalbert},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.18796},
  eprint = {2610.18796},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.18796},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Information-theoretic measures of electron correlation in a double quantum dot
AU  - W. S. Nascimento
AU  - A. M. Maniero
AU  - F. V. Prudente
AU  - Ginette Jalbert
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.18796
UR  - https://arxiv.org/abs/2610.18796
AB  - In this work, we investigated how variations in spatial confinement affect the electron correlation between two electrons in a symmetric double quantum dot. In strong confinement regime, the ground-state energy can be obtained using the Hartree-Fock method neglecting the electron-electron repulsion term. Under a weaker confinement, the FCI method provides a more accurate description. Using the mutual information as a measure of correlation, we determine the confinement regions where electronic motion is uncorrelated. We conjecture that the Shannon entropy can serve as a qualitative guide to to study the electron correlation. We identified an approximately linear relationship between mutual information and relative correlation energy.
ER  -