English

First and Second Sound Modes of a Bose-Einstein Condensate in a Harmonic Trap

Condensed Matter 2009-10-30 v3

Abstract

We have calculated the first and second sound modes of a dilute interacting Bose gas in a spherical trap for temperatures (0.6<T/Tc<1.20.6<T/T_{c}<1.2) and for systems with 10410^4 to 10810^8 particles. The second sound modes (which exist only below TcT_{c}) generally have a stronger temperature dependence than the first sound modes. The puzzling temperature variations of the sound modes near TcT_{c} recently observed at JILA in systems with 10310^3 particles match surprisingly well with those of the first and second sound modes of much larger systems.

Keywords

Cite

@article{arxiv.cond-mat/9710274,
  title  = {First and Second Sound Modes of a Bose-Einstein Condensate in a Harmonic Trap},
  author = {V. B. Shenoy and Tin-Lun Ho},
  journal= {arXiv preprint arXiv:cond-mat/9710274},
  year   = {2009}
}

Comments

a shorten version, more discussions are given on the nature of the second sound. A long footnote on the recent work of Zaremba, Griffin, and Nikuni (cond-mat/9705134) is added, the spectrum of the (\ell=1, n_2=0) mode is included in fig.1