Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime
Mathematical Physics
2023-01-11 v3 Quantum Gases
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.2011.05962,
title = {Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime},
author = {Cristina Caraci and Serena Cenatiempo and Benjamin Schlein},
journal= {arXiv preprint arXiv:2011.05962},
year = {2023}
}
Comments
72 pages, improved rate of condensation