---
_id: '13225'
abstract:
- lang: eng
  text: Recently the leading order of the correlation energy of a Fermi gas in a coupled
    mean-field and semiclassical scaling regime has been derived, under the assumption
    of an interaction potential with a small norm and with compact support in Fourier
    space. We generalize this result to large interaction potentials, requiring only
    |⋅|V^∈ℓ1(Z3). Our proof is based on approximate, collective bosonization in three
    dimensions. Significant improvements compared to recent work include stronger
    bounds on non-bosonizable terms and more efficient control on the bosonization
    of the kinetic energy.
acknowledgement: "RS was supported by the European Research Council under the European
  Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).
  MP acknowledges financial support from the European Research Council under the European
  Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, Grant Agreement
  No. 802901). BS acknowledges financial support from the NCCR SwissMAP, from the
  Swiss National Science Foundation through the Grant “Dynamical and energetic properties
  of Bose-Einstein condensates” and from the European Research Council through the
  ERC AdG CLaQS (Grant Agreement No. 834782). NB and MP were supported by Gruppo Nazionale
  per la Fisica Matematica (GNFM) of Italy. NB was supported by the European Research
  Council’s Starting Grant FERMIMATH (Grant Agreement No. 101040991).\r\nOpen access
  funding provided by Università degli Studi di Milano within the CRUI-CARE Agreement."
article_number: '65'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Niels P
  full_name: Benedikter, Niels P
  id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
  last_name: Benedikter
  orcid: 0000-0002-1071-6091
- first_name: Marcello
  full_name: Porta, Marcello
  last_name: Porta
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Benedikter NP, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly
    interacting Fermi gas with large interaction potential. <i>Archive for Rational
    Mechanics and Analysis</i>. 2023;247(4). doi:<a href="https://doi.org/10.1007/s00205-023-01893-6">10.1007/s00205-023-01893-6</a>
  apa: Benedikter, N. P., Porta, M., Schlein, B., &#38; Seiringer, R. (2023). Correlation
    energy of a weakly interacting Fermi gas with large interaction potential. <i>Archive
    for Rational Mechanics and Analysis</i>. Springer Nature. <a href="https://doi.org/10.1007/s00205-023-01893-6">https://doi.org/10.1007/s00205-023-01893-6</a>
  chicago: Benedikter, Niels P, Marcello Porta, Benjamin Schlein, and Robert Seiringer.
    “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.”
    <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2023. <a
    href="https://doi.org/10.1007/s00205-023-01893-6">https://doi.org/10.1007/s00205-023-01893-6</a>.
  ieee: N. P. Benedikter, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy
    of a weakly interacting Fermi gas with large interaction potential,” <i>Archive
    for Rational Mechanics and Analysis</i>, vol. 247, no. 4. Springer Nature, 2023.
  ista: Benedikter NP, Porta M, Schlein B, Seiringer R. 2023. Correlation energy of
    a weakly interacting Fermi gas with large interaction potential. Archive for Rational
    Mechanics and Analysis. 247(4), 65.
  mla: Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi
    Gas with Large Interaction Potential.” <i>Archive for Rational Mechanics and Analysis</i>,
    vol. 247, no. 4, 65, Springer Nature, 2023, doi:<a href="https://doi.org/10.1007/s00205-023-01893-6">10.1007/s00205-023-01893-6</a>.
  short: N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational
    Mechanics and Analysis 247 (2023).
date_created: 2023-07-16T22:01:08Z
date_published: 2023-08-01T00:00:00Z
date_updated: 2025-04-14T07:26:58Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-023-01893-6
ec_funded: 1
external_id:
  arxiv:
  - '2106.13185'
  isi:
  - '001024369000001'
file:
- access_level: open_access
  checksum: 2b45828d854a253b14bf7aa196ec55e9
  content_type: application/pdf
  creator: dernst
  date_created: 2023-11-14T13:12:12Z
  date_updated: 2023-11-14T13:12:12Z
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  file_name: 2023_ArchiveRationalMechAnalysis_Benedikter.pdf
  file_size: 851626
  relation: main_file
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file_date_updated: 2023-11-14T13:12:12Z
has_accepted_license: '1'
intvolume: '       247'
isi: 1
issue: '4'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
  eissn:
  - 1432-0673
  issn:
  - 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Correlation energy of a weakly interacting Fermi gas with large interaction
  potential
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
volume: 247
year: '2023'
...