Rigorous Derivation of the Gross-Pitaevskii Equation

Details Rigorous Derivation of the Gross-Pitaevskii Equation Rigorous Derivation of the Gross-Pitaevskii Equation

2006-12-10

arxiv.org/abs/math-ph/0612028v1

Physics

Mathematical Physics

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.98.040404

The time dependent Gross-Pitaevskii equation describes the dynamics of
initially trapped Bose-Einstein condensates. We present a rigorous proof of
this fact starting from a many-body bosonic Schroedinger equation with a short
scale repulsive interaction in the dilute limit. Our proof shows the
persistence of an explicit short scale correlation structure in the condensate.

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