Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime
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Publication:6353546
DOI10.1007/S10955-021-02766-6zbMATH Open1508.81975arXiv2011.05962MaRDI QIDQ6353546
Benjamin Schlein, Serena Cenatiempo, Cristina Caraci
Publication date: 11 November 2020
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.
Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Critical phenomena in equilibrium statistical mechanics (82B27) Applications of functional analysis in quantum physics (46N50) Bosonic systems in quantum theory (81V73) Statistical mechanics in condensed matter (general) (82D03)
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