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On the direct diagonalization method for a few particles trapped in harmonic potentials

We describe a procedure to systematically improve direct diagonalization results for few-particle systems trapped in one-dimensional harmonic potentials interacting by contact interactions. We start from the two-body problem to define a renormalization method for the interparticle interactions. The...

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Bibliographic Details
Published in:arXiv.org 2022-06
Main Authors: Rojo-Francàs, Abel, Isaule, Felipe, Juliá-Díaz, Bruno
Format: Article
Language:English
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Summary:We describe a procedure to systematically improve direct diagonalization results for few-particle systems trapped in one-dimensional harmonic potentials interacting by contact interactions. We start from the two-body problem to define a renormalization method for the interparticle interactions. The procedure is benchmarked with state-of-the-art numerical results for three and four symmetric fermions.
ISSN:2331-8422
DOI:10.48550/arxiv.2202.12749