English

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

Quantum Gases 2022-06-30 v2 Quantum Physics

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.

Keywords

Cite

@article{arxiv.2202.12749,
  title  = {On the direct diagonalization method for a few particles trapped in harmonic potentials},
  author = {Abel Rojo-Francàs and Felipe Isaule and Bruno Juliá-Díaz},
  journal= {arXiv preprint arXiv:2202.12749},
  year   = {2022}
}
R2 v1 2026-06-24T09:53:59.805Z