---
_id: '7611'
abstract:
- lang: eng
text: We consider a system of N bosons in the limit N→∞, interacting through singular
potentials. For initial data exhibiting Bose–Einstein condensation, the many-body
time evolution is well approximated through a quadratic fluctuation dynamics around
a cubic nonlinear Schrödinger equation of the condensate wave function. We show
that these fluctuations satisfy a (multi-variate) central limit theorem.
acknowledgement: "Simone Rademacher acknowledges partial support from the NCCR SwissMAP.
This project has received\r\nfunding from the European Union’s Horizon 2020 research
and innovation program under the Marie\r\nSkłodowska-Curie Grant Agreement No. 754411.\r\nOpen
access funding provided by Institute of Science and Technology (IST Austria).\r\nS.R.
would like to thank Benjamin Schlein for many fruitful discussions."
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- 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
citation:
ama: Rademacher SAE. Central limit theorem for Bose gases interacting through singular
potentials. Letters in Mathematical Physics. 2020;110:2143-2174. doi:10.1007/s11005-020-01286-w
apa: Rademacher, S. A. E. (2020). Central limit theorem for Bose gases interacting
through singular potentials. Letters in Mathematical Physics. Springer
Nature. https://doi.org/10.1007/s11005-020-01286-w
chicago: Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting
through Singular Potentials.” Letters in Mathematical Physics. Springer
Nature, 2020. https://doi.org/10.1007/s11005-020-01286-w.
ieee: S. A. E. Rademacher, “Central limit theorem for Bose gases interacting through
singular potentials,” Letters in Mathematical Physics, vol. 110. Springer
Nature, pp. 2143–2174, 2020.
ista: Rademacher SAE. 2020. Central limit theorem for Bose gases interacting through
singular potentials. Letters in Mathematical Physics. 110, 2143–2174.
mla: Rademacher, Simone Anna Elvira. “Central Limit Theorem for Bose Gases Interacting
through Singular Potentials.” Letters in Mathematical Physics, vol. 110,
Springer Nature, 2020, pp. 2143–74, doi:10.1007/s11005-020-01286-w.
short: S.A.E. Rademacher, Letters in Mathematical Physics 110 (2020) 2143–2174.
date_created: 2020-03-23T11:11:47Z
date_published: 2020-03-12T00:00:00Z
date_updated: 2023-09-05T15:14:50Z
day: '12'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s11005-020-01286-w
ec_funded: 1
external_id:
isi:
- '000551556000006'
file:
- access_level: open_access
checksum: 3bdd41f10ad947b67a45b98f507a7d4a
content_type: application/pdf
creator: dernst
date_created: 2020-11-20T12:04:26Z
date_updated: 2020-11-20T12:04:26Z
file_id: '8784'
file_name: 2020_LettersMathPhysics_Rademacher.pdf
file_size: 478683
relation: main_file
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has_accepted_license: '1'
intvolume: ' 110'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 2143-2174
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: Letters in Mathematical Physics
publication_identifier:
eissn:
- 1573-0530
issn:
- 0377-9017
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Central limit theorem for Bose gases interacting through singular potentials
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 110
year: '2020'
...