Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii regime
Cristina Caraci, Serena Cenatiempo, Benjamin Schlein
TL;DR
This paper proves that in a two-dimensional Bose system with weak interactions, low-energy states exhibit complete Bose-Einstein condensation, providing near-optimal bounds on excitations, within the Gross-Pitaevskii regime.
Contribution
It establishes Bose-Einstein condensation for 2D bosons in the Gross-Pitaevskii regime with precise bounds on excitations, advancing understanding of quantum many-body systems.
Findings
Complete Bose-Einstein condensation in 2D bosonic systems
Optimal bounds on orthogonal excitations
Validation of Gross-Pitaevskii regime predictions
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.
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