Bose–Einstein Condensation for Two Dimensional Bosons in the Gross–Pitaevskii Regime
Cristina Caraci, Serena Cenatiempo, Benjamin Schlein
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:2011.05962•Journal of Statistical Physics•May 20, 2021•17 citations