@article{2748,
  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 Schrödinger 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.},
  author       = {László Erdös and Schlein, Benjamin and Yau, Horng-Tzer},
  journal      = {Physical Review Letters},
  number       = {4},
  publisher    = {American Physical Society},
  title        = {{Rigorous derivation of the Gross-Pitaevskii equation}},
  doi          = {10.1103/PhysRevLett.98.040404},
  volume       = {98},
  year         = {2007},
}