Laszlo Erdos, Benjamin Schlein, Horng-Tzer Yau
Published 2006-12-10Version 1
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.
Comments: 4 pages, 1 figure
Derivation of the time dependent Gross-Pitaevskii equation without positivity condition on the interaction
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A rigorous derivation of multicomponent diffusion laws
