---
res:
bibo_abstract:
- We consider the evolution of N bosons interacting with a repulsive short range
pair potential in three dimensions. The potential is scaled according to the Gross-Pitaevskii
scaling, i.e. it is given by N 2 V(N(x i - x j )). We monitor the behaviour of
the solution to the N-particle Schrödinger equation in a spatial window where
two particles are close to each other. We prove that within this window a short-scale
interparticle structure emerges dynamically. The local correlation between the
particles is given by the two-body zero energy scattering mode. This is the characteristic
structure that was expected to form within a very short initial time layer and
to persist for all later times, on the basis of the validity of the Gross-Pitaevskii
equation for the evolution of the Bose-Einstein condensate. The zero energy scattering
mode emerges after an initial time layer where all higher energy modes disperse
out of the spatial window. We can prove the persistence of this structure up to
sufficiently small times before three-particle correlations could develop.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: László
foaf_name: László Erdös
foaf_surname: Erdös
foaf_workInfoHomepage: http://www.librecat.org/personId=4DBD5372-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0001-5366-9603
- foaf_Person:
foaf_givenName: Alessandro
foaf_name: Michelangeli, Alessandro
foaf_surname: Michelangeli
- foaf_Person:
foaf_givenName: Benjamin
foaf_name: Schlein, Benjamin
foaf_surname: Schlein
bibo_doi: 10.1007/s00220-009-0828-y
bibo_issue: '3'
bibo_volume: 289
dct_date: 2009^xs_gYear
dct_publisher: Springer@
dct_title: Dynamical formation of correlations in a Bose-Einstein condensate@
...