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arXiv · 2610.18796

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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W. S. Nascimento, A. M. Maniero, F. V. Prudente, Ginette Jalbert. 2026-10-13. Information-theoretic measures of electron correlation in a double quantum dot. https://arxiv.org/abs/2610.18796

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