Another proof of BEC in the GP-limit

Abstract

We present a fresh look at the methods introduced by Boccato, Brennecke, Cenatiempo, and Schlein concerning the trapped Bose gas and give a conceptually very simple and concise proof of BEC in the Gross-Pitaevskii limit for small interaction potentials.

final version

References in corpus (1)

• The BCS Critical Temperature for Potentials with Negative Scattering Length

Cited by in corpus (10)

• Bose-Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime
• The Bose gas in a box with Neumann boundary conditions
• Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
• On Bose-Einstein condensates in the Thomas-Fermi regime
• A Short Proof of Bose-Einstein Condensation in the Gross-Pitaevskii Regime and Beyond
• Bose-Einstein condensation on hyperbolic spaces
• The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime
• Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross-Pitaevskii Regime
• The Low Energy Spectrum of Trapped Bosons in the Gross-Pitaevskii Regime
• Derivation of the Gross-Pitaevskii Dynamics through Renormalized Excitation Number Operators