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

2019; Springer Science+Business Media; Volume: 376; Issue: 2 Linguagem: Inglês

10.1007/s00220-019-03555-9

1432-0916

Chiara Boccato, Christian Brennecke, Serena Cenatiempo, Benjamin Schlein,

Quantum Information and Cryptography

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 \cite{BBCS1}, removing the assumption of small interaction potential.