---
_id: '6906'
abstract:
- lang: eng
text: We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime.
We show that low-energy states exhibit complete Bose–Einstein condensation with
an optimal bound on the number of orthogonal excitations. This extends recent
results obtained in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018), removing
the assumption of small interaction potential.
acknowledgement: "We would like to thank P. T. Nam and R. Seiringer for several useful
discussions and\r\nfor suggesting us to use the localization techniques from [9].
C. Boccato has received funding from the\r\nEuropean Research Council (ERC) under
the programme Horizon 2020 (Grant Agreement 694227). B. Schlein gratefully acknowledges
support from the NCCR SwissMAP and from the Swiss National Foundation of Science
(Grant No. 200020_1726230) through the SNF Grant “Dynamical and energetic properties
of Bose–Einstein condensates”."
article_processing_charge: No
article_type: original
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. Optimal rate for Bose-Einstein
condensation in the Gross-Pitaevskii regime. Communications in Mathematical
Physics. 2020;376:1311-1395. doi:10.1007/s00220-019-03555-9
apa: Boccato, C., Brennecke, C., Cenatiempo, S., & Schlein, B. (2020). Optimal
rate for Bose-Einstein condensation in the Gross-Pitaevskii regime. Communications
in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-019-03555-9
chicago: Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein.
“Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.”
Communications in Mathematical Physics. Springer, 2020. https://doi.org/10.1007/s00220-019-03555-9.
ieee: C. Boccato, C. Brennecke, S. Cenatiempo, and B. Schlein, “Optimal rate for
Bose-Einstein condensation in the Gross-Pitaevskii regime,” Communications
in Mathematical Physics, vol. 376. Springer, pp. 1311–1395, 2020.
ista: Boccato C, Brennecke C, Cenatiempo S, Schlein B. 2020. Optimal rate for Bose-Einstein
condensation in the Gross-Pitaevskii regime. Communications in Mathematical Physics.
376, 1311–1395.
mla: Boccato, Chiara, et al. “Optimal Rate for Bose-Einstein Condensation in the
Gross-Pitaevskii Regime.” Communications in Mathematical Physics, vol.
376, Springer, 2020, pp. 1311–95, doi:10.1007/s00220-019-03555-9.
short: C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein, Communications in Mathematical
Physics 376 (2020) 1311–1395.
date_created: 2019-09-24T17:30:59Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2024-02-22T13:33:02Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00220-019-03555-9
ec_funded: 1
external_id:
arxiv:
- '1812.03086'
isi:
- '000536053300012'
intvolume: ' 376'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1812.03086
month: '06'
oa: 1
oa_version: Preprint
page: 1311-1395
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Communications in Mathematical Physics
publication_identifier:
eissn:
- 1432-0916
issn:
- 0010-3616
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal rate for Bose-Einstein condensation in the Gross-Pitaevskii regime
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 376
year: '2020'
...