Proof of Bose-Einstein Condensation for Dilute Trapped Gases

Élliott H. Lieb, Robert Seiringer

Type: Article

Publication Date: 2002-04-16

Citations: 354

DOI: https://doi.org/10.1103/physrevlett.88.170409

Abstract

The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting from the basic Schrödinger equation; the condensation is 100% into the state that minimizes the Gross-Pitaevskii energy functional. This is the first rigorous proof of BEC in a physically realistic, continuum model.

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Physical Review Letters - View
arXiv (Cornell University) - View - PDF
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