Bose–Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross–Pitaevskii Regime

We consider a Bose gas consisting of N particles in R3, trapped by an external field and interacting through a two-body potential with scattering length of order N- 1. We prove that low energy states exhibit complete Bose–Einstein condensation with optimal rate, generalizing previous work in Boccato...

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Bibliographic Details
Main Authors: Brennecke, C. (Author), Schlein, B. (Author), Schraven, S. (Author)
Format: Article
Language:English
Published: Springer Science and Business Media B.V. 2022
Subjects:
Online Access:View Fulltext in Publisher
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020 |a 13850172 (ISSN) 
245 1 0 |a Bose–Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross–Pitaevskii Regime 
260 0 |b Springer Science and Business Media B.V.  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1007/s11040-022-09424-7 
520 3 |a We consider a Bose gas consisting of N particles in R3, trapped by an external field and interacting through a two-body potential with scattering length of order N- 1. We prove that low energy states exhibit complete Bose–Einstein condensation with optimal rate, generalizing previous work in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018; 376:1311–1395, 2020), restricted to translation invariant systems. This extends recent results in Nam et al. (Preprint, 2001. arXiv:2001.04364), removing the smallness assumption on the size of the scattering length. © 2022, The Author(s), under exclusive licence to Springer Nature B.V. 
650 0 4 |a Bose-Einstein Condensation; Interacting Bosons 
650 0 4 |a Gross-Pitaevskii Regime 
700 1 |a Brennecke, C.  |e author 
700 1 |a Schlein, B.  |e author 
700 1 |a Schraven, S.  |e author 
773 |t Mathematical Physics Analysis and Geometry