Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime
arXiv:2011.05962 · doi:10.1007/s10955-021-02766-6
Abstract
We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy states exhibit complete Bose-Einstein condensation, with almost optimal bounds on the number of orthogonal excitations.
arXiv comment72 pages, improved rate of condensation
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