English

Bose-Einstein condensate in a quartic potential: Static and Dynamic properties

Other Condensed Matter 2015-05-13 v3 Statistical Mechanics

Abstract

In this paper, we present a theoretical study of a Bose-Einstein condensate of interacting bosons in a quartic trap in one, two, and three dimensions. Using Thomas-Fermi approximation, suitably complemented by numerical solutions of the Gross-Pitaevskii equation, we study the ground sate condensate density profiles, the chemical potential, the effects of cross-terms in the quartic potential, temporal evolution of various energy components of the condensate, and width oscillations of the condensate. Results obtained are compared with corresponding results for a bose condensate in a harmonic confinement.

Keywords

Cite

@article{arxiv.0812.0246,
  title  = {Bose-Einstein condensate in a quartic potential: Static and Dynamic properties},
  author = {G. K. Chaudhary and Amit K Chattopadhyay and R. Ramakumar},
  journal= {arXiv preprint arXiv:0812.0246},
  year   = {2015}
}

Comments

revised version, content reorganized, 15 pages including figures, references added

R2 v1 2026-06-21T11:47:02.889Z