Rigorous derivation of the Gross-Pitaevskii equation |
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| Authors: | Erdos László Schlein Benjamin Yau Horng-Tzer |
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| Affiliation: | Institute of Mathematics, University of Munich, Theresienstrasse 39, D-80333 Munich, Germany. |
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| Abstract: | 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 Schr?dinger 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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