Rigorous derivation of the Gross-Pitaevskii equation.

@article{Erds2007RigorousDO,
  title={Rigorous derivation of the Gross-Pitaevskii equation.},
  author={L{\'a}szl{\'o} Erdős and Benjamin Schlein and H. M.-P. Yau},
  journal={Physical review letters},
  year={2007},
  volume={98 4},
  pages={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 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. 
26 Citations
5 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-5 of 5 references

Phys

  • E. H. Lieb, R. Seiringer, J. Yngvason
  • Rev A 61
  • 2000

Rev

  • F. Dalfovo, S. Giogini, L. P. Pitaevskii, S. Stringari
  • Mod. Phys. 71
  • 1999
1 Excerpt

M

  • K. B. Davis
  • -O. Mewes, M. R. Andrews, N. J. van Druten, D. S…
  • 1995
1 Excerpt

Science (269)

  • M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, E. A. Cornell
  • 198
  • 1995
1 Excerpt

Statistical Physics

  • E. M. Lifshitz, L. P. Pitaevskii
  • Part 2. Pergamon Press
  • 1980
1 Excerpt

Similar Papers

Loading similar papers…