---
_id: '7413'
abstract:
- lang: eng
  text: We consider Bose gases consisting of N particles trapped in a box with volume
    one and interacting through a repulsive potential with scattering length of order
    N−1 (Gross–Pitaevskii regime). We determine the ground state energy and the low-energy
    excitation spectrum, up to errors vanishing as N→∞. Our results confirm Bogoliubov’s
    predictions.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chiara
  full_name: Boccato, Chiara
  id: 342E7E22-F248-11E8-B48F-1D18A9856A87
  last_name: Boccato
- first_name: Christian
  full_name: Brennecke, Christian
  last_name: Brennecke
- first_name: Serena
  full_name: Cenatiempo, Serena
  last_name: Cenatiempo
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
citation:
  ama: Boccato C, Brennecke C, Cenatiempo S, Schlein B. Bogoliubov theory in the Gross–Pitaevskii
    limit. <i>Acta Mathematica</i>. 2019;222(2):219-335. doi:<a href="https://doi.org/10.4310/acta.2019.v222.n2.a1">10.4310/acta.2019.v222.n2.a1</a>
  apa: Boccato, C., Brennecke, C., Cenatiempo, S., &#38; Schlein, B. (2019). Bogoliubov
    theory in the Gross–Pitaevskii limit. <i>Acta Mathematica</i>. International Press
    of Boston. <a href="https://doi.org/10.4310/acta.2019.v222.n2.a1">https://doi.org/10.4310/acta.2019.v222.n2.a1</a>
  chicago: Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein.
    “Bogoliubov Theory in the Gross–Pitaevskii Limit.” <i>Acta Mathematica</i>. International
    Press of Boston, 2019. <a href="https://doi.org/10.4310/acta.2019.v222.n2.a1">https://doi.org/10.4310/acta.2019.v222.n2.a1</a>.
  ieee: C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Bogoliubov theory
    in the Gross–Pitaevskii limit,” <i>Acta Mathematica</i>, vol. 222, no. 2. International
    Press of Boston, pp. 219–335, 2019.
  ista: Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2019. Bogoliubov theory in
    the Gross–Pitaevskii limit. Acta Mathematica. 222(2), 219–335.
  mla: Boccato, Chiara, et al. “Bogoliubov Theory in the Gross–Pitaevskii Limit.”
    <i>Acta Mathematica</i>, vol. 222, no. 2, International Press of Boston, 2019,
    pp. 219–335, doi:<a href="https://doi.org/10.4310/acta.2019.v222.n2.a1">10.4310/acta.2019.v222.n2.a1</a>.
  short: C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Acta Mathematica 222
    (2019) 219–335.
date_created: 2020-01-30T09:30:41Z
date_published: 2019-06-07T00:00:00Z
date_updated: 2023-09-06T15:24:31Z
day: '07'
department:
- _id: RoSe
doi: 10.4310/acta.2019.v222.n2.a1
external_id:
  arxiv:
  - '1801.01389'
  isi:
  - '000495865300001'
intvolume: '       222'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1801.01389
month: '06'
oa: 1
oa_version: Preprint
page: 219-335
publication: Acta Mathematica
publication_identifier:
  eissn:
  - 1871-2509
  issn:
  - 0001-5962
publication_status: published
publisher: International Press of Boston
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bogoliubov theory in the Gross–Pitaevskii limit
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 222
year: '2019'
...