Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime

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.

Locations

• Journal of Statistical Physics - View - PDF
• PubMed Central - View
• arXiv (Cornell University) - View - PDF
• Europe PMC (PubMed Central) - View - PDF
• Zurich Open Repository and Archive (University of Zurich) - View - PDF
• PubMed - View