---
_id: '9351'
abstract:
- lang: eng
  text: 'We consider the many-body quantum evolution of a factorized initial data,
    in the mean-field regime. We show that fluctuations around the limiting Hartree
    dynamics satisfy large deviation estimates that are consistent with central limit
    theorems that have been established in the last years. '
acknowledgement: The authors gratefully acknowledge Gérard Ben Arous for suggesting
  this kind of result. K.L.K. was partially supported by NSF CAREER Award DMS-125479
  and a Simons Sabbatical Fellowship. S.R. acknowledges funding from the European
  Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
  Grant Agreement No. 754411. B. S. gratefully acknowledges partial 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. Funding Open access funding provided by Institute
  of Science and Technology (IST Austria).
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Kay
  full_name: Kirkpatrick, Kay
  last_name: Kirkpatrick
- first_name: Simone Anna Elvira
  full_name: Rademacher, Simone Anna Elvira
  id: 856966FE-A408-11E9-977E-802DE6697425
  last_name: Rademacher
  orcid: 0000-0001-5059-4466
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
citation:
  ama: Kirkpatrick K, Rademacher SAE, Schlein B. A large deviation principle in many-body
    quantum dynamics. <i>Annales Henri Poincare</i>. 2021;22:2595-2618. doi:<a href="https://doi.org/10.1007/s00023-021-01044-1">10.1007/s00023-021-01044-1</a>
  apa: Kirkpatrick, K., Rademacher, S. A. E., &#38; Schlein, B. (2021). A large deviation
    principle in many-body quantum dynamics. <i>Annales Henri Poincare</i>. Springer
    Nature. <a href="https://doi.org/10.1007/s00023-021-01044-1">https://doi.org/10.1007/s00023-021-01044-1</a>
  chicago: Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein.
    “A Large Deviation Principle in Many-Body Quantum Dynamics.” <i>Annales Henri
    Poincare</i>. Springer Nature, 2021. <a href="https://doi.org/10.1007/s00023-021-01044-1">https://doi.org/10.1007/s00023-021-01044-1</a>.
  ieee: K. Kirkpatrick, S. A. E. Rademacher, and B. Schlein, “A large deviation principle
    in many-body quantum dynamics,” <i>Annales Henri Poincare</i>, vol. 22. Springer
    Nature, pp. 2595–2618, 2021.
  ista: Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle
    in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618.
  mla: Kirkpatrick, Kay, et al. “A Large Deviation Principle in Many-Body Quantum
    Dynamics.” <i>Annales Henri Poincare</i>, vol. 22, Springer Nature, 2021, pp.
    2595–618, doi:<a href="https://doi.org/10.1007/s00023-021-01044-1">10.1007/s00023-021-01044-1</a>.
  short: K. Kirkpatrick, S.A.E. Rademacher, B. Schlein, Annales Henri Poincare 22
    (2021) 2595–2618.
date_created: 2021-04-25T22:01:30Z
date_published: 2021-04-08T00:00:00Z
date_updated: 2025-06-12T06:39:59Z
day: '08'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00023-021-01044-1
ec_funded: 1
external_id:
  arxiv:
  - '2010.13754'
  isi:
  - '000638022600001'
  pmid:
  - '34776771'
file:
- access_level: open_access
  checksum: 1a0fb963f2f415ba470881a794f20eb6
  content_type: application/pdf
  creator: cchlebak
  date_created: 2021-10-15T11:15:40Z
  date_updated: 2021-10-15T11:15:40Z
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  file_name: 2021_Annales_Kirkpatrick.pdf
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file_date_updated: 2021-10-15T11:15:40Z
fulldoi: https://doi.org/10.1007/s00023-021-01044-1
has_accepted_license: '1'
intvolume: '        22'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 2595-2618
pmid: 1
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
  name: IST Austria Open Access Fund
publication: Annales Henri Poincare
publication_identifier:
  issn:
  - 1424-0637
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: A large deviation principle in many-body quantum dynamics
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: 22
year: '2021'
...