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arXiv · 2202.12749

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

Abel Rojo-Francàs·Felipe Isaule·Bruno Juliá-Díaz
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Abstract

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.

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Abel Rojo-Francàs, Felipe Isaule, Bruno Juliá-Díaz. 2022-02-25. On the direct diagonalization method for a few particles trapped in harmonic potentials. https://doi.org/10.1103/physreva.105.063326

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