---
_id: '1143'
abstract:
- lang: eng
  text: We study the ground state of a dilute Bose gas in a scaling limit where the
    Gross-Pitaevskii functional emerges. This is a repulsive nonlinear Schrödinger
    functional whose quartic term is proportional to the scattering length of the
    interparticle interaction potential. We propose a new derivation of this limit
    problem, with a method that bypasses some of the technical difficulties that previous
    derivations had to face. The new method is based on a combination of Dyson\'s
    lemma, the quantum de Finetti theorem and a second moment estimate for ground
    states of the effective Dyson Hamiltonian. It applies equally well to the case
    where magnetic fields or rotation are present.
article_processing_charge: No
arxiv: 1
author:
- first_name: Phan
  full_name: Nam, Phan
  id: 404092F4-F248-11E8-B48F-1D18A9856A87
  last_name: Nam
- first_name: Nicolas
  full_name: Rougerie, Nicolas
  last_name: Rougerie
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The
    gross Pitaevskii limit revisited. <i>Analysis and PDE</i>. 2016;9(2):459-485.
    doi:<a href="https://doi.org/10.2140/apde.2016.9.459">10.2140/apde.2016.9.459</a>'
  apa: 'Nam, P., Rougerie, N., &#38; Seiringer, R. (2016). Ground states of large
    bosonic systems: The gross Pitaevskii limit revisited. <i>Analysis and PDE</i>.
    Mathematical Sciences Publishers. <a href="https://doi.org/10.2140/apde.2016.9.459">https://doi.org/10.2140/apde.2016.9.459</a>'
  chicago: 'Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large
    Bosonic Systems: The Gross Pitaevskii Limit Revisited.” <i>Analysis and PDE</i>.
    Mathematical Sciences Publishers, 2016. <a href="https://doi.org/10.2140/apde.2016.9.459">https://doi.org/10.2140/apde.2016.9.459</a>.'
  ieee: 'P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems:
    The gross Pitaevskii limit revisited,” <i>Analysis and PDE</i>, vol. 9, no. 2.
    Mathematical Sciences Publishers, pp. 459–485, 2016.'
  ista: 'Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems:
    The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485.'
  mla: 'Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii
    Limit Revisited.” <i>Analysis and PDE</i>, vol. 9, no. 2, Mathematical Sciences
    Publishers, 2016, pp. 459–85, doi:<a href="https://doi.org/10.2140/apde.2016.9.459">10.2140/apde.2016.9.459</a>.'
  short: P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
date_created: 2018-12-11T11:50:23Z
date_published: 2016-03-24T00:00:00Z
date_updated: 2025-09-22T14:10:16Z
day: '24'
department:
- _id: RoSe
doi: 10.2140/apde.2016.9.459
ec_funded: 1
external_id:
  arxiv:
  - '1503.07061'
  isi:
  - '000378287000006'
intvolume: '         9'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1503.07061
month: '03'
oa: 1
oa_version: Preprint
page: 459 - 485
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '291734'
  name: International IST Postdoc Fellowship Programme
publication: Analysis and PDE
publication_status: published
publisher: Mathematical Sciences Publishers
publist_id: '6215'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Ground states of large bosonic systems: The gross Pitaevskii limit revisited'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 9
year: '2016'
...