English

Bose-Einstein Condensates in Time Dependent Traps

Quantum Gases 2026-07-21 v1

Abstract

We present analytical results for the macroscopic wave function of a Bose-Einstein condensate in a time dependent harmonic potential. The evolution of the spatial density is a dilatation, characterized by three scaling factors which allow a classical interpretation of the dynamics. This approach is an efficient tool for the analysis of recent experimental results on the expansion and collective excitation of a condensate.

Cite

@article{arxiv.2607.18944,
  title  = {Bose-Einstein Condensates in Time Dependent Traps},
  author = {Yvan Castin and Ralph Dum},
  journal= {arXiv preprint arXiv:2607.18944},
  year   = {2026}
}

Comments

Final version in English (4 pages) and in French (4 pages)