English

A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D

Quantum Gases 2023-05-01 v2

Abstract

We introduce a generic and accessible implementation of an exact diagonalization method for studying few-fermion models. Our aim is to provide a testbed for the newcomers to the field as well as a stepping stone for trying out novel optimizations and approximations. This userguide consists of a description of the algorithm, and several examples in varying orders of sophistication. In particular, we exemplify our routine using an effective-interaction approach that fixes the low-energy physics. We benchmark this approach against the existing data, and show that it is able to deliver state-of-the-art numerical results at a significantly reduced computational cost.

Keywords

Cite

@article{arxiv.2202.04603,
  title  = {A modular implementation of an effective interaction approach for harmonically trapped fermions in 1D},
  author = {Lukas Rammelmüller and David Huber and Artem G. Volosniev},
  journal= {arXiv preprint arXiv:2202.04603},
  year   = {2023}
}

Comments

22 + 4 pages

R2 v1 2026-06-24T09:28:43.242Z