---
OA_place: repository
OA_type: green
_id: '18948'
abstract:
- lang: eng
  text: We consider a gas of N bosons with interactions in the mean-field scaling
    regime. We review a recent proof of the asymptotic expansion of its spectrum and
    eigenstates and two applications of this result, namely the derivation of an Edgeworth
    expansion for fluctuations of one-body operators and the computation of the binding
    energy of an inhomogeneous Bose gas to any order. Finally, we collect related
    results for the dynamics of the weakly interacting Bose gas and for the regularized
    Nelson model.
acknowledgement: It is our pleasure to thank Marco Falconi, Nataša Pavlović, Peter
  Pickl, Robert Seiringer and Avy Soffer for the collaboration on the works [11, 13,
  14, 21, 33, 39]. L.B. was supported by the German Research Foundation within the
  Munich Center of Quantum Science and Technology (EXC 2111). N.L. acknowledges support
  from the Swiss National Science Foundation through the NCCR SwissMap and funding
  from the European Union’s Horizon 2020 research and innovation programme under the
  Marie Skłodowska-Curie grant agreement No 101024712. S.P. acknowledges funding by
  the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - project
  number 512258249.
alternative_title:
- Fundamental Theories of Physics
article_processing_charge: No
arxiv: 1
author:
- first_name: Lea
  full_name: Bossmann, Lea
  id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
  last_name: Bossmann
  orcid: 0000-0002-6854-1343
- first_name: Nikolai
  full_name: Leopold, Nikolai
  last_name: Leopold
- first_name: David Johannes
  full_name: Mitrouskas, David Johannes
  id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
  last_name: Mitrouskas
- first_name: Sören
  full_name: Petrat, Sören
  last_name: Petrat
citation:
  ama: 'Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. Asymptotic Analysis of the Weakly
    Interacting Bose Gas: A Collection of Recent Results and Applications. In: Bassi
    A, Goldstein S, Tumulka R, Zanghi N, eds. <i>Physics and the Nature of Reality</i>.
    Vol 215. FTPH. Cham: Springer Nature; 2024:307-321. doi:<a href="https://doi.org/10.1007/978-3-031-45434-9_22">10.1007/978-3-031-45434-9_22</a>'
  apa: 'Bossmann, L., Leopold, N., Mitrouskas, D. J., &#38; Petrat, S. (2024). Asymptotic
    Analysis of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.
    In A. Bassi, S. Goldstein, R. Tumulka, &#38; N. Zanghi (Eds.), <i>Physics and
    the Nature of Reality</i> (Vol. 215, pp. 307–321). Cham: Springer Nature. <a href="https://doi.org/10.1007/978-3-031-45434-9_22">https://doi.org/10.1007/978-3-031-45434-9_22</a>'
  chicago: 'Bossmann, Lea, Nikolai Leopold, David Johannes Mitrouskas, and Sören Petrat.
    “Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent
    Results and Applications.” In <i>Physics and the Nature of Reality</i>, edited
    by Angelo Bassi, Sheldon Goldstein, Roderich Tumulka, and Nino Zanghi, 215:307–21.
    FTPH. Cham: Springer Nature, 2024. <a href="https://doi.org/10.1007/978-3-031-45434-9_22">https://doi.org/10.1007/978-3-031-45434-9_22</a>.'
  ieee: 'L. Bossmann, N. Leopold, D. J. Mitrouskas, and S. Petrat, “Asymptotic Analysis
    of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications,”
    in <i>Physics and the Nature of Reality</i>, vol. 215, A. Bassi, S. Goldstein,
    R. Tumulka, and N. Zanghi, Eds. Cham: Springer Nature, 2024, pp. 307–321.'
  ista: 'Bossmann L, Leopold N, Mitrouskas DJ, Petrat S. 2024.Asymptotic Analysis
    of the Weakly Interacting Bose Gas: A Collection of Recent Results and Applications.
    In: Physics and the Nature of Reality. Fundamental Theories of Physics, vol. 215,
    307–321.'
  mla: 'Bossmann, Lea, et al. “Asymptotic Analysis of the Weakly Interacting Bose
    Gas: A Collection of Recent Results and Applications.” <i>Physics and the Nature
    of Reality</i>, edited by Angelo Bassi et al., vol. 215, Springer Nature, 2024,
    pp. 307–21, doi:<a href="https://doi.org/10.1007/978-3-031-45434-9_22">10.1007/978-3-031-45434-9_22</a>.'
  short: L. Bossmann, N. Leopold, D.J. Mitrouskas, S. Petrat, in:, A. Bassi, S. Goldstein,
    R. Tumulka, N. Zanghi (Eds.), Physics and the Nature of Reality, Springer Nature,
    Cham, 2024, pp. 307–321.
date_created: 2025-01-29T10:30:08Z
date_published: 2024-02-04T00:00:00Z
date_updated: 2025-01-29T10:35:10Z
day: '04'
department:
- _id: RoSe
doi: 10.1007/978-3-031-45434-9_22
editor:
- first_name: Angelo
  full_name: Bassi, Angelo
  last_name: Bassi
- first_name: Sheldon
  full_name: Goldstein, Sheldon
  last_name: Goldstein
- first_name: Roderich
  full_name: Tumulka, Roderich
  last_name: Tumulka
- first_name: Nino
  full_name: Zanghi, Nino
  last_name: Zanghi
external_id:
  arxiv:
  - '2304.12910'
intvolume: '       215'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2304.12910
month: '02'
oa: 1
oa_version: Preprint
page: 307-321
place: Cham
publication: Physics and the Nature of Reality
publication_identifier:
  eisbn:
  - '9783031454349'
  eissn:
  - 2365-6425
  isbn:
  - '9783031454332'
  issn:
  - 0168-1222
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
series_title: FTPH
status: public
title: 'Asymptotic Analysis of the Weakly Interacting Bose Gas: A Collection of Recent
  Results and Applications'
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 215
year: '2024'
...