Bose–Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross–Pitaevskii Regime
We consider a Bose gas consisting of N particles in R 3 , 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 Boc...
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Veröffentlicht in: | Mathematical physics, analysis, and geometry analysis, and geometry, 2022-06, Vol.25 (2), Article 12 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We consider a Bose gas consisting of
N
particles in
R
3
, 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. |
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ISSN: | 1385-0172 1572-9656 |
DOI: | 10.1007/s11040-022-09424-7 |