English

The absence of fragmentation in Bose-Einstein condensates

Other Condensed Matter 2009-11-13 v2

Abstract

A Bose-Einstein condensate produced by a Hamiltonian which is rotationally or translationally symmetric is fragmented as a direct result of these symmetries. A corresponding mean-field unfragmented state, with an identical energy to leading order in the number of particles, can generally be constructed. As a consequence, vanishingly weak symmetry-breaking perturbations destabilize the fragmented state, which would thus be extremely difficult to realize experimentally, and lead to an unfragmented condensate.

Keywords

Cite

@article{arxiv.0807.4627,
  title  = {The absence of fragmentation in Bose-Einstein condensates},
  author = {A. D. Jackson and G. M. Kavoulakis and M. Magiropoulos},
  journal= {arXiv preprint arXiv:0807.4627},
  year   = {2009}
}

Comments

Typographical errors corrected

R2 v1 2026-06-21T11:05:24.269Z