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

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

We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime. We show that low-energy states exhibit complete Bose–Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent results obtained in Boccato et al. (Commun Math Phys 359(3):97...

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Veröffentlicht in:Communications in mathematical physics 2020-06, Vol.376 (2), p.1311-1395
Hauptverfasser: Boccato, Chiara, Brennecke, Christian, Cenatiempo, Serena, Schlein, Benjamin
Format: Artikel
Sprache:eng
Schlagworte:
Bose-Einstein condensates
Bosons
Classical and Quantum Gravitation
Complex Systems
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Theoretical
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Zusammenfassung:We consider systems of bosons trapped in a box, in the Gross–Pitaevskii regime. We show that low-energy states exhibit complete Bose–Einstein condensation with an optimal bound on the number of orthogonal excitations. This extends recent results obtained in Boccato et al. (Commun Math Phys 359(3):975–1026, 2018), removing the assumption of small interaction potential.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-019-03555-9