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arXiv · 2007.12875

Fast evaluation of interaction integrals for confined systems with machine learning

Alina Mreńca-Kolasińska·Krzysztof Kolasiński·Bartłomiej Szafran
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Abstract

The calculation of interaction integrals is a bottleneck for the treatment of many-body quantum systems due to its high numerical cost. We conduct configuration interaction calculations of the few-electron states confined in III-V semiconductor 2D structures using a shallow neural network to calculate the two-electron integrals, that can be used for general isotropic interaction potentials. This approach allows for a speed up of the evaluation of the energy levels and a controllable accuracy.

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Alina Mreńca-Kolasińska, Krzysztof Kolasiński, Bartłomiej Szafran. 2020-08-11. Fast evaluation of interaction integrals for confined systems with machine learning. https://doi.org/10.1103/physrevb.102.075422

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