---
_id: '13276'
abstract:
- lang: eng
  text: <jats:p>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.</jats:p>
acknowledgement: "We acknowledge fruitful discussions with Hans-Werner Hammer and
  thank Gerhard Zürn and\r\nPietro Massignan for sending us their data. We thank Fabian
  Brauneis for beta-testing the\r\nprovided code-package, and comments on the manuscript.\r\nL.R.
  is supported by FP7/ERC Consolidator Grant QSIMCORR, No.\r\n771891, and the Deutsche
  Forschungsgemeinschaft (DFG, German Research Foundation) under\r\nGermany’s Excellence
  Strategy –EXC–2111–390814868. A.G.V. acknowledges support\r\nby European Union’s
  Horizon 2020 research and innovation programme under the Marie\r\nSkłodowska-Curie
  Grant Agreement No. 754411."
article_number: '12'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Lukas
  full_name: Rammelmüller, Lukas
  last_name: Rammelmüller
- first_name: David
  full_name: Huber, David
  last_name: Huber
- first_name: Artem
  full_name: Volosniev, Artem
  id: 37D278BC-F248-11E8-B48F-1D18A9856A87
  last_name: Volosniev
  orcid: 0000-0003-0393-5525
citation:
  ama: Rammelmüller L, Huber D, Volosniev A. A modular implementation of an effective
    interaction approach for harmonically trapped fermions in 1D. <i>SciPost Physics
    Codebases</i>. 2023. doi:<a href="https://doi.org/10.21468/scipostphyscodeb.12">10.21468/scipostphyscodeb.12</a>
  apa: Rammelmüller, L., Huber, D., &#38; Volosniev, A. (2023). A modular implementation
    of an effective interaction approach for harmonically trapped fermions in 1D.
    <i>SciPost Physics Codebases</i>. SciPost Foundation. <a href="https://doi.org/10.21468/scipostphyscodeb.12">https://doi.org/10.21468/scipostphyscodeb.12</a>
  chicago: Rammelmüller, Lukas, David Huber, and Artem Volosniev. “A Modular Implementation
    of an Effective Interaction Approach for Harmonically Trapped Fermions in 1D.”
    <i>SciPost Physics Codebases</i>. SciPost Foundation, 2023. <a href="https://doi.org/10.21468/scipostphyscodeb.12">https://doi.org/10.21468/scipostphyscodeb.12</a>.
  ieee: L. Rammelmüller, D. Huber, and A. Volosniev, “A modular implementation of
    an effective interaction approach for harmonically trapped fermions in 1D,” <i>SciPost
    Physics Codebases</i>. SciPost Foundation, 2023.
  ista: Rammelmüller L, Huber D, Volosniev A. 2023. A modular implementation of an
    effective interaction approach for harmonically trapped fermions in 1D. SciPost
    Physics Codebases., 12.
  mla: Rammelmüller, Lukas, et al. “A Modular Implementation of an Effective Interaction
    Approach for Harmonically Trapped Fermions in 1D.” <i>SciPost Physics Codebases</i>,
    12, SciPost Foundation, 2023, doi:<a href="https://doi.org/10.21468/scipostphyscodeb.12">10.21468/scipostphyscodeb.12</a>.
  short: L. Rammelmüller, D. Huber, A. Volosniev, SciPost Physics Codebases (2023).
date_created: 2023-07-24T10:47:15Z
date_published: 2023-04-19T00:00:00Z
date_updated: 2023-07-31T09:16:02Z
day: '19'
ddc:
- '530'
department:
- _id: MiLe
doi: 10.21468/scipostphyscodeb.12
ec_funded: 1
external_id:
  arxiv:
  - '2202.04603'
file:
- access_level: open_access
  checksum: f583a70fe915d2208c803f5afb426daa
  content_type: application/pdf
  creator: dernst
  date_created: 2023-07-31T09:09:23Z
  date_updated: 2023-07-31T09:09:23Z
  file_id: '13330'
  file_name: 2023_SciPostPhysCodebase_Rammelmueller.pdf
  file_size: 551418
  relation: main_file
  success: 1
file_date_updated: 2023-07-31T09:09:23Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: SciPost Physics Codebases
publication_identifier:
  issn:
  - 2949-804X
publication_status: published
publisher: SciPost Foundation
quality_controlled: '1'
related_material:
  record:
  - id: '13275'
    relation: research_data
    status: public
status: public
title: A modular implementation of an effective interaction approach for harmonically
  trapped fermions in 1D
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...