: 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.

Bose-Einstein Condensation for Two Dimensional Bosons in the Gross-Pitaevskii Regime

Caraci, Cristina
Membro del Collaboration Group
;
Cenatiempo, Serena
Membro del Collaboration Group
;
2021

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.
Bose–Einstein condensation
Gross-Pitaevskii regime
Interacting bosons
Two dimensional Bose gas
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/24142
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