Proof of Bose-Einstein Condensation for Dilute Trapped Gases

Details Proof of Bose-Einstein Condensation for Dilute Trapped Gases Proof of Bose-Einstein Condensation for Dilute Trapped Gases

2001-12-16

arxiv.org/abs/math-ph/0112032v3

Physical Review Letters, vol. 88 #170409 (2002)

Physics

Mathematical Physics

Revised version with some simplifications and clarifications. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.88.170409

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 Schroedinger 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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