English

Variance of a Trapped Bose-Einstein Condensate

Quantum Gases 2019-07-09 v1 Quantum Physics

Abstract

The ground state of a Bose-Einstein condensate in a two-dimensional trap potential is analyzed numerically at the infinite-particle limit. It is shown that the anisotropy of the many-particle position variance along the xx and yy axes can be opposite when computed at the many-body and mean-field levels of theory. This is despite the system being 100%100\% condensed, and the respective energies per particle and densities per particle to coincide.

Keywords

Cite

@article{arxiv.1812.09933,
  title  = {Variance of a Trapped Bose-Einstein Condensate},
  author = {Ofir E. Alon},
  journal= {arXiv preprint arXiv:1812.09933},
  year   = {2019}
}

Comments

9 pages, 6 figures

R2 v1 2026-06-23T06:55:24.306Z