Bose-Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime
We consider a Bose gas consisting of \(N\) particles in \(\mathbb{R}^3\), 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...
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| Veröffentlicht in: | arXiv.org 2021-08 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We consider a Bose gas consisting of \(N\) particles in \(\mathbb{R}^3\), 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 \cite{BBCS1, BBCS4}, restricted to translation invariant systems. This extends recent results in \cite{NNRT}, removing the smallness assumption on the size of the scattering length. |
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| ISSN: | 2331-8422 |
| DOI: | 10.48550/arxiv.2102.11052 |