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.
Optimal Rate for Bose–Einstein Condensation in the Gross–Pitaevskii Regime / C. Boccato, C. Brennecke, S. Cenatiempo, B. Schlein. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 376:2(2020), pp. 1311-1395. [10.1007/s00220-019-03555-9]
Optimal Rate for Bose–Einstein Condensation in the Gross–Pitaevskii Regime
C. Boccato;
2020
Abstract
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.
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