English

Linear Response in the s.c. Bogolyubov model of Bose-Einstein Condensation

Statistical Mechanics 2007-05-23 v1 Other Condensed Matter

Abstract

We discuss the linear response of the Bogolyubov theory of a weakly interacting Bose gas below the critical temperature. The specific aspects, due to induced perturbation terms in the self-consistent treatment are discussed in detail. We show that Bogolyubov's model having a gap-less equilibrium spectrum nevertheless gives rise to an effective susceptibility which does not satisfy the super-fluidity criterion of Hohenberg and Martin.

Keywords

Cite

@article{arxiv.cond-mat/0407426,
  title  = {Linear Response in the s.c. Bogolyubov model of Bose-Einstein Condensation},
  author = {L. Banyai and M. A. Bundaru and P. Gartner},
  journal= {arXiv preprint arXiv:cond-mat/0407426},
  year   = {2007}
}