Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime

We consider N bosons in a box with volume one, interacting through a two-body potential with scattering length of the order [Formula: see text] , for [Formula: see text] . Assuming that [Formula: see text] , we show that low-energy states exhibit Bose–Einstein condensation and we provide bounds on t...

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Detalles Bibliográficos
Autores principales: Adhikari, Arka, Brennecke, Christian, Schlein, Benjamin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7956940/
https://www.ncbi.nlm.nih.gov/pubmed/33786012
http://dx.doi.org/10.1007/s00023-020-01004-1
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author Adhikari, Arka
Brennecke, Christian
Schlein, Benjamin
author_facet Adhikari, Arka
Brennecke, Christian
Schlein, Benjamin
author_sort Adhikari, Arka
collection PubMed
description We consider N bosons in a box with volume one, interacting through a two-body potential with scattering length of the order [Formula: see text] , for [Formula: see text] . Assuming that [Formula: see text] , we show that low-energy states exhibit Bose–Einstein condensation and we provide bounds on the expectation and on higher moments of the number of excitations.
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spelling pubmed-79569402021-03-28 Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime Adhikari, Arka Brennecke, Christian Schlein, Benjamin Ann Henri Poincare Original Paper We consider N bosons in a box with volume one, interacting through a two-body potential with scattering length of the order [Formula: see text] , for [Formula: see text] . Assuming that [Formula: see text] , we show that low-energy states exhibit Bose–Einstein condensation and we provide bounds on the expectation and on higher moments of the number of excitations. Springer International Publishing 2020-12-26 2021 /pmc/articles/PMC7956940/ /pubmed/33786012 http://dx.doi.org/10.1007/s00023-020-01004-1 Text en © The Author(s) 2020 Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Original Paper
Adhikari, Arka
Brennecke, Christian
Schlein, Benjamin
Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime
title Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime
title_full Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime
title_fullStr Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime
title_full_unstemmed Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime
title_short Bose–Einstein Condensation Beyond the Gross–Pitaevskii Regime
title_sort bose–einstein condensation beyond the gross–pitaevskii regime
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7956940/
https://www.ncbi.nlm.nih.gov/pubmed/33786012
http://dx.doi.org/10.1007/s00023-020-01004-1
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