Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime
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 BBCS1, removing the assumption of small interaction potential.
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