English

Disordered Bosons: Condensate and Excitations

Condensed Matter 2009-10-22 v1

Abstract

The disordered Bose Hubbard model is studied numerically within the Bogoliubov approximation. First, the spatially varying condensate wavefunction in the presence of disorder is found by solving a nonlinear Schrodinger equation. Using the Bogoliubov approximation to find the excitations above this condensate, we calculate the condensate fraction, superfluid density, and density of states for a two-dimensional disordered system. These results are compared with experiments done with 4He{}^4{\rm He} adsorbed in porous media.

Keywords

Cite

@article{arxiv.cond-mat/9307039,
  title  = {Disordered Bosons: Condensate and Excitations},
  author = {K. G. Singh and D. S. Rokhsar},
  journal= {arXiv preprint arXiv:cond-mat/9307039},
  year   = {2009}
}

Comments

RevTeX, 26 pages and 10 postscript figures appended (Figure 9 has three separate plots, so 12 postcript files altogether)

R2 v1 2026-07-22T11:46:14.600Z