English

Stability and instability properties of rotating Bose-Einstein condensates

Analysis of PDEs 2024-01-29 v3 Mathematical Physics math.MP

Abstract

We consider the mean-field dynamics of Bose-Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the situation in which the trap is symmetric with respect to the rotation axis and the one where this is not the case.

Keywords

Cite

@article{arxiv.1809.09236,
  title  = {Stability and instability properties of rotating Bose-Einstein condensates},
  author = {Jack Arbunich and Irina Nenciu and Christof Sparber},
  journal= {arXiv preprint arXiv:1809.09236},
  year   = {2024}
}

Comments

13 pages; corrected a systematic typo

R2 v1 2026-06-23T04:17:09.759Z