Another proof of BEC in the GP-limit

TL;DR

This paper provides a simplified and concise proof of Bose-Einstein condensation in the Gross-Pitaevskii limit for trapped Bose gases with small interaction potentials, building on previous methods.

Contribution

It offers a new, streamlined proof of BEC in the GP-limit, improving conceptual clarity and simplicity over prior approaches.

Findings

Proof of BEC in the GP-limit for small interactions

Simplified and more accessible proof method

Clarification of the underlying mechanisms of BEC

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.