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.

72 pages, improved rate of condensation

References in corpus (2)

• Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
• Bose-Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime

Cited by in corpus (1)

• Scaling limits of bosonic ground states, from many-body to nonlinear Schr{ö}dinger