Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime

We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy states exhibit complete Bose–Einstein condensation, with almo...

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Autores principales: Caraci, Cristina, Cenatiempo, Serena, Schlein, Benjamin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550145/
https://www.ncbi.nlm.nih.gov/pubmed/34720183
http://dx.doi.org/10.1007/s10955-021-02766-6
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author Caraci, Cristina
Cenatiempo, Serena
Schlein, Benjamin
author_facet Caraci, Cristina
Cenatiempo, Serena
Schlein, Benjamin
author_sort Caraci, Cristina
collection PubMed
description We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy states exhibit complete Bose–Einstein condensation, with almost optimal bounds on the number of orthogonal excitations.
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spelling pubmed-85501452021-10-29 Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime Caraci, Cristina Cenatiempo, Serena Schlein, Benjamin J Stat Phys Article We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy states exhibit complete Bose–Einstein condensation, with almost optimal bounds on the number of orthogonal excitations. Springer US 2021-05-20 2021 /pmc/articles/PMC8550145/ /pubmed/34720183 http://dx.doi.org/10.1007/s10955-021-02766-6 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/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/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Caraci, Cristina
Cenatiempo, Serena
Schlein, Benjamin
Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime
title Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime
title_full Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime
title_fullStr Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime
title_full_unstemmed Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime
title_short Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime
title_sort bose–einstein condensation for two dimensional bosons in the gross–pitaevskii regime
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550145/
https://www.ncbi.nlm.nih.gov/pubmed/34720183
http://dx.doi.org/10.1007/s10955-021-02766-6
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