Bose-Einstein Condensation for Two Dimensional Bosons in the Gross-Pitaevskii Regime.
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.
['Caraci|Cristina|C|', 'Cenatiempo|Serena|S|', 'Schlein|Benjamin|B|']
Gross-Pitaevskii regime Bose–Einstein condensation Interacting bosons Two dimensional Bose gas